Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

ISBN 13

978-0073398242

ISBN 10

0073398241

Authors

Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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978-0073398242 Appendix B Solution Manual Part 1

APPENDIX B Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.1 A thin plate of mass m is cut in the shape of an equilateral triangle of

Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

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978-0073398242 Appendix B Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.50 Brass wire with a weight per unit length w is used to form the figure shown. Determine the mass products

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978-0073398242 Appendix B Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.56 Determine the mass moment of inertia of the steel fixture of Problems 9.145 and 9.149 with respect to the

Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

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978-0073398242 Appendix B Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.61 (Continued) From the solution to Problem 9.147, we have 36.2542 10 lb ft syI 36.2542 10 lb ft

Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

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978-0073398242 Appendix B Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.68 Given a homogeneous body of mass m and of arbitrary shape and three rectangular axes x , y , and z with origin

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978-0073398242 Appendix B Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.71* (Continued) (b) To determine the direction cosines , , x yz of each principal axis, use two of the equations of

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978-0073398242 Appendix B Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.73* (Continued) Simplifying 33 3 33 3xy z 33 3xy z 33 3 xy z 0.12533( ) ( ) 0.5( ) 0 0.11705( ) (

Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

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978-0073398242 Appendix B Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.8 A thin plate of mass m has the trapezoidal shape shown. Determine the mass moment of inertia of the plate

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978-0073398242 Appendix B Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.14 Determine by direct integration the mass moment of inertia and the radius of gyration with respect to the x

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978-0073398242 Appendix B Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.20 Knowing that the thin hemispherical shell shown has a mass m and thickness t, determine the mass moment of

Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

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978-0073398242 Appendix B Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.25 A 2-mm thick piece of sheet steel is cut and bent into the machine component shown. Knowing that the density

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978-0073398242 Appendix B Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.29 (Continued) 123 62 2 2222 262 21(3325.97 10 lb s /ft)[(2.25) (3.5) ] in122.25 3.5 1 ft

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978-0073398242 Appendix B Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.34 Determine the mass moment of inertia of the steel machine element shown with respect to the yaxis. (The density of

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978-0073398242 Appendix B Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.39 Determine the mass products of inertia I xy , I yz , and I zx of the steel fixture shown. (The density of steel is 7850

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978-0073398242 Appendix B Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM B.45 A section of sheet steel 2 mm thick is cut and bent into the machine component shown. Knowing that the

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978-0073398242 Chapter 10 Solution Manual Part 1

CHAPTER 10 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.1 Determine the vertical force P that must be applied at C to maintain the

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978-0073398242 Chapter 10 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.80 A slender rod AB, of weight W, is attached to two blocks A and B that can move

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978-0073398242 Chapter 10 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.88 Collar A can slide freely on the semicircular rod shown. Knowing that the constant of the spring is

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978-0073398242 Chapter 10 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.95 The horizontal bar BEH is connected to three vertical bars. The collar at E can slide freely on

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978-0073398242 Chapter 10 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.102 Determine the couple M that must be applied to member DEFG to maintain the equilibrium of the linkage.

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978-0073398242 Chapter 10 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.10 The slender rod AB is attached to a collar A and rests on a small wheel at C.

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978-0073398242 Chapter 10 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.20 For the linkage shown, determine the force Q required for equilibrium when 18 in.,l 600 lb in.,M and

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978-0073398242 Chapter 10 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.26 (Continued) with 24 in., 4 in., 10 lb, and 18 lblaP Q 224 in.18 lb (10 lb) sin

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978-0073398242 Chapter 10 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.36 A load W of magnitude 72 lb is applied to the mechanism at C. Neglecting the weight of

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978-0073398242 Chapter 10 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.44 The position of member ABC is controlled by the hydraulic cylinder CD. Determine the angle knowing that the

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978-0073398242 Chapter 10 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.52 Knowing that the coefficient of static friction between the block attached to rod ACE and the horizontal surface

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978-0073398242 Chapter 10 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.61 Using the method of Section 10.8, solve Problem 10.31. PROBLEM 10.31 Solve Problem 10.30 assuming that force

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978-0073398242 Chapter 10 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 10.71 Two uniform rods AB and CD, of the same length l, are attached to gears as shown. Knowing

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978-0073398242 Chapter 11 Solution Manual Part 1

CHAPTER 11 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.1 A snowboarder starts from rest at the top of a double black diamond hill. As he rides

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978-0073398242 Chapter 11 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.71 In a 400-m race, runner A reaches her maximum velocity A v in 4 s with constant acceleration and maintains that

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978-0073398242 Chapter 11 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.77 An accelerometer record for the motion of a given part of a mechanism is approximated by an arc of a

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978-0073398242 Chapter 11 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.82 (Continued) (a) At 8 s, 32.58 m/stv or 117.3 km/hv (b) At 20 st 660 mx (a) At 8

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978-0073398242 Chapter 11 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.91 The motion of a vibrating particle is defined by the position vector (4sin ) (cos2 ) ,tt rij where r is

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978-0073398242 Chapter 11 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.97 An airplane used to drop water on brushfires is flying horizontally in a straight line at 180 mi/h at an

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978-0073398242 Chapter 11 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.106 At halftime of a football game souvenir balls are thrown to the spectators with a velocity v0. Determine the range

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978-0073398242 Chapter 11 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.111 (Continued) Then 28 1400 tan 24.5 (1 tan )g or 2240.345 tan 1400 tan 248.345 0 Solving 10.3786 and 79.949

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978-0073398242 Chapter 11 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.116* (Continued) (b) Angle Check the edge. Since the stream clears the edge. .max maxtan 1.87521.466xx61.9361.9 2020tan2cosgxyy x v 2232.2 13.53.6

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978-0073398242 Chapter 11 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.124 Knowing that at the instant shown block A has a velocity of 8 in./s and an acceleration of 6 in./s 2

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978-0073398242 Chapter 11 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.131 (Continued) Therefore 520sin (40 ) sin (130 ) or sin 130 cos cos 130 sin 4(sin 40 cos cos 40

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978-0073398242 Chapter 11 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.9 The brakes of a car are applied, causing it to slow down at a rate of 10 ft/s2. Knowing that

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978-0073398242 Chapter 11 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.140 A motorist starts from rest at Point A on a circular entrance ramp when t 0, increases the speed of her

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978-0073398242 Chapter 11 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.149 A child throws a ball from point A with an initial velocity v0 at an angle of 3 with

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978-0073398242 Chapter 11 Solution Manual Part 22

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.158 A satellite will travel indefinitely in a circular orbit around the earth if the normal component of its acceleration is equal

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978-0073398242 Chapter 11 Solution Manual Part 23

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.166 The pin at B is free to slide along the circular slot DE and along the rotating rod OC. Assuming that

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978-0073398242 Chapter 11 Solution Manual Part 24

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.173 A particle moves along the spiral shown. Determine the magnitude of the velocity of the particle in terms of b, ,

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978-0073398242 Chapter 11 Solution Manual Part 25

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.181* Determine the direction of the binormal of the path described by the particle of Problem 11.96 when (a) 0,t (b) /2

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978-0073398242 Chapter 11 Solution Manual Part 26

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.188 A golfer hits a ball with an initial velocity of magnitude 0 v at an angle with the horizontal. Knowing

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978-0073398242 Chapter 11 Solution Manual Part 27

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.193 (Continued) Multiply Eq. (1) by sin 30 and Eq. (2) by cos 30 and subtract 22sin 30 ( 10)cos30 0(109.95

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978-0073398242 Chapter 11 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.19 Based on experimental observations, the acceleration of a particle is defined by the relation (0.1a sin x/b), where a and x

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978-0073398242 Chapter 11 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.27 Experimental data indicate that in a region downstream of a given louvered supply vent the velocity of the emitted air

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978-0073398242 Chapter 11 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.36 A group of students launches a model rocket in the vertical direction. Based on tracking data, they determine that the

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978-0073398242 Chapter 11 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.45 Two rockets are launched at a fireworks display. Rocket A is launched with an initial velocity 0 v 100 m/s and

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978-0073398242 Chapter 11 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.52 (Continued) Then, substituting into Eq. (2) 2402 3 mm/s 03Ba or 220 mm/sBa 220.0 mm/sBa (b) From the diagram, constantDAxx

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978-0073398242 Chapter 11 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.59 (Continued) Solving Eqs. (5) and (6) for Ca and Da 240 mm/sCa 210 mm/sDa Now 0CCvat At 3 s:t 2(40

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978-0073398242 Chapter 11 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 11.64 (Continued) (b) Reading from the xtcurve max 420 mx (c) Between 10 s and 22 s 100 m 420 m

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978-0073398242 Chapter 12 Solution Manual Part 1

CHAPTER 12 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.1 Astronauts who landed on the moon during the Apollo 15, 16 and 17 missions brought back

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978-0073398242 Chapter 12 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.57 A turntable A is built into a stage for use in a theatrical production. It is observed during a rehearsal

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978-0073398242 Chapter 12 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.62 (Continued) We must determine the values of which maximize the above expression. Thus 2222sinsin (cos )( cos )cos0sin sinBBBgvggvvdd or 2minsin

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978-0073398242 Chapter 12 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.68 The 3-kg collar B slides on the frictionless arm .AA The arm is attached to drum D and rotates about

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978-0073398242 Chapter 12 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.75 (Continued) Since the particle moves under a central force, 0.a Magnitude of acceleration. 222020rvraaa r Tangential component of acceleration.

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978-0073398242 Chapter 12 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.84 The periodic time (see Prob. 12.83) of an earth satellite in a circular polar orbit is 120 minutes. Determine (a)

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978-0073398242 Chapter 12 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. (b) Acceleration of B relative to the rod. At () 960, ( ) 8 ft/s 96 in./s, 9.6 rad/s10AAAvtv r 2()

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978-0073398242 Chapter 12 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.101 It was observed that as the Voyager I spacecraft reached the point of its trajectory closest to the planet Saturn, it

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978-0073398242 Chapter 12 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.107 (Continued) (b) From Part (a), we have 2sun112()AAABGM r v rr Then, for any other elliptic orbit about the sun,

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978-0073398242 Chapter 12 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.113 (Continued) Then 243321or22838 6332 10 m3 10,131.4 m/s1666.63 sBABA BA A ABAAABA AA AAAht t h r vhrrtrv v For the

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978-0073398242 Chapter 12 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.121 Show that the angular momentum per unit mass h of a satellite describing an elliptic orbit of semimajor axis a and

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978-0073398242 Chapter 12 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.7 (Continued) (b) From Kinematics: x x vdv adx vdv dx a 2 1 0 2.5 1 27000 3 33ln3 27000 | v x v mvdv dx v m xvv 36.14 mx Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education.

Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

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978-0073398242 Chapter 12 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.128 A small 200-g collar C can slide on a semicircular rod which is made to rotate about the vertical AB

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978-0073398242 Chapter 12 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.133* (Continued) and and at Note: implies that the slider remains at its initial radial position. With Eq. (2) implies (b) Substituting

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978-0073398242 Chapter 12 Solution Manual Part 22

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.F2 Two blocks weighing WA and WB are at rest on a conveyor that is initially at rest. The belt is

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978-0073398242 Chapter 12 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.14 (Continued) Block B 350 1:350lb2 32.2 2yBB AFma T a (2) (a) Multiply Eq. (1) by 2 and add Eq. (2)

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978-0073398242 Chapter 12 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.19 (Continued) Now AsAFN or 0.2[( ) cos 25 sin 25 ]AABFmmg P 0: sin 25 cos 25 0xAABAFTFFW P or 0.2[(

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978-0073398242 Chapter 12 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.24 An airplane has a mass of 25 Mg and its engines develop a total thrust of 40 kN during take-off. If

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978-0073398242 Chapter 12 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.31 A 10-lb block B rests as shown on a 20-lb bracket A. The coefficients of friction are 0.30 s and 0.25 k

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978-0073398242 Chapter 12 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.36 A 450-g tetherball A is moving along a horizontal circular path at a constant speed of 4 m/s. Determine (a) the

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978-0073398242 Chapter 12 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.43* (Continued) maxmax( ) 16.9443 lb() 17lbDADETT Eq. (1) max22()(32.2 ft/s )(0.5 ft)( ) (16.9443sin 20 17sin 30 ) lb1.2 lbDATv or

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978-0073398242 Chapter 12 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 12.50 (Continued) At B: 2:BnnBvFma N m or 2222,555 m /s54 kg 1200 mBN or 1014.98 NBN :||tt B tFmaWPma or 2(54

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978-0073398242 Chapter 13 Solution Manual Part 1

CHAPTER 13 PROBLEM 13.1 A 400-kg satellite is placed in a circular orbit 6394 km above the surface of the earth. At this elevation the acceleration of gravity is 2 4.09 m/s . Knowing that its orbital speed is 20 000 km/h, determine the kinetic energy of the satellite.

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978-0073398242 Chapter 13 Solution Manual Part 10

PROBLEM 13.67 Cornhole is a game that requires you to toss beanbags through a hole in a wooden board. People with limited arm mobility often have difficulty enjoying this favorite tailgating activity. An adapted launching device attaches to a wheelchair so that points O and A are fixed. The

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978-0073398242 Chapter 13 Solution Manual Part 11

PROBLEM 13.72 (Continued) Forces at B. 022( ) (10) 6.6667 lb.35sin 13 55 in. ft12(0.031056)(205.72)5/1215.3332 lbsBBnFkmvma= = === ==== : siny ys nF ma F W N ma= += sin515.3332 1 (6.6667) 1313.769 lbnsN ma W FN= += + = 13.77 lb=N Copyright McGraw-Hill Education. Permission required for reproduction

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978-0073398242 Chapter 13 Solution Manual Part 12

PROBLEM 13.78 The pendulum shown is released from rest at A and swings through 90 before the cord touches the fixed peg B. Determine the smallest value of a for which the pendulum bob will describe a circle about the peg. SOLUTION Use conservation of energy from the

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978-0073398242 Chapter 13 Solution Manual Part 2

PROBLEM 13.9 A package is projected up a 15 incline at A with an initial velocity of 8 m/s. Knowing that the coefficient of kinetic friction between the package and the incline is 0.12, determine (a) the maximum distance d that the package will move up the incline, (b)

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978-0073398242 Chapter 13 Solution Manual Part 3

PROBLEM 13.18 The subway train shown is traveling at a speed of 30 mi/h when the brakes are fully applied on the wheels of cars A, causing it to slide on the track, but are not applied on the wheels of cars A or B. Knowing that the coefficient

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978-0073398242 Chapter 13 Solution Manual Part 4

PROBLEM 13.25 Four 3-kg packages are held in place by friction on a conveyor which is disengaged from its drive motor. When the system is released from rest, package 1 leaves the belt at A just as package 4 comes onto the inclined portion of the belt at B.

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978-0073398242 Chapter 13 Solution Manual Part 5

PROBLEM 13.31 A 5-kg collar A is at rest on top of, but not attached to, a spring with stiffness k1 = 400 N/m; when a constant 150-N force is applied to the cable. Knowing A has a speed of 1 m/s when the upper spring is compressed 75

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978-0073398242 Chapter 13 Solution Manual Part 6

PROBLEM 13.39 The sphere at A is given a downward velocity 0 v of magnitude 5 m/s and swings in a vertical plane at the end of a rope of length 2ml= attached to a support at O. Determine the angle at which the rope will break, knowing that it

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978-0073398242 Chapter 13 Solution Manual Part 8

PROBLEM 13.55 A force P is slowly applied to a plate that is attached to two springs and causes a deflection 0 .x In each of the two cases shown, derive an expression for the constant , e k in terms of 1 k and 2 ,k of the single spring equivalent to the given

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978-0073398242 Chapter 13 Solution Manual Part 9

PROBLEM 13.62 An elastic cable is to be designed for bungee jumping from a tower 130 ft high. The specifications call for the cable to be 85 ft long when unstretched, and to stretch to a total length of 100 ft when a 600-lb weight is attached to it

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978-0073398242 Chapter 14 Solution Manual Part 1

CHAPTER 14 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.1 A 30-g bullet is fired with a horizontal velocity of 450 m/s and becomes embedded in block

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978-0073398242 Chapter 14 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.64 The stream of water shown flows at a rate of 550 liters/min and moves with a velocity of magnitude 18

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978-0073398242 Chapter 14 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.73 Prior to take-off the pilot of a 3000-kg twin-engine airplane tests the reversible-pitch propellers by increasing the reverse thrust with

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978-0073398242 Chapter 14 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.81 (Continued) Input power rate of supply of kinetic energy of the stream 2in2311()21212AAAPmvtmvtAv (c) Efficiency: outin312()(1cos)AAAPPAv v V VAv 21

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978-0073398242 Chapter 14 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.89 A toy car is propelled by water that squirts from an internal tank at a constant 6 ft/s relative to

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978-0073398242 Chapter 14 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.98 The rocket engines of a spacecraft are fired to increase its velocity by 450 ft/s. Knowing that 1200 lb of

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978-0073398242 Chapter 14 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.104 In a rocket, the kinetic energy imparted to the consumed and ejected fuel is wasted as far as propelling the rocket

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978-0073398242 Chapter 14 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.110 (Continued) 112 2:TV T V 20 27 0.10352 2.5Av 22236.67 ftAv 15.38 ft/sAv 5.13 ft/sBv 112 2:TV T V

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978-0073398242 Chapter 14 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.7 (Continued) (c) Container slides and stops only after 2nd coupling 12360 65 100vv 15.54 km/hv 23.60 km/hv (c) Container slides

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978-0073398242 Chapter 14 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.13 A system consists of three particles A, B, and C. We know that 3 A m kg, 2 B m kg, and 4 C m kg

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978-0073398242 Chapter 14 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.20 (Continued) Data: ft 59 ft, 46PP yx ( ) From (2),a Pt66325.0359 s 611.2Pt s 61.2Pt ()From (1),b 611.2883.0611.2375.06.946Av ft/s 58.107Av

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978-0073398242 Chapter 14 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.27 Derive the relation OG m HrvH between the angular momenta O H and G H defined in Eqs. (14.7) and (14.24), respectively. The vectors

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978-0073398242 Chapter 14 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.36 It is assumed that each of the two automobiles involved in the collision described in Problem 14.35 had been designed to

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978-0073398242 Chapter 14 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.44 In a game of pool, ball A is moving with the velocity 00 vvi when it strikes balls B and C, which

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978-0073398242 Chapter 14 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.50 Three small spheres A, B, and C, each of mass m, are connected to a small ring D of negligible

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978-0073398242 Chapter 14 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 14.55 (Continued) Conservation of energy. Before break: 22022 2 2011(3 ) 32233[(1.3) (2.6) ] 12.67522Tmv mvmv v m m After break:

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978-0073398242 Chapter 15 Solution Manual Part 10

PROBLEM 15.73 A juggling club is thrown vertically into the air. The center of gravity G of the 20 in. club is located 12 in. from the knob. Knowing that at the instant shown G has a velocity of 4 ft/s upwards and the club has an angular

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978-0073398242 Chapter 15 Solution Manual Part 11

PROBLEM 15.82 An overhead door is guided by wheels at A and B that roll in horizontal and vertical tracks. Knowing that when 40 = the velocity of wheel B is 1.5 ft/s upward, determine (a) the angular velocity of the door, (b) the velocity of end D of

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978-0073398242 Chapter 15 Solution Manual Part 12

PROBLEM 15.90 (Continued) 487.97 mm10.37()(487.97 mm)(0.9 rad/s)439.18 mm/sFCFv CF== === 439 mm/sF=v 10.4 439 mm/sF=v 79.6 (b) Velocity of Point G: 456.78 mm20.50()(456.78 in.)(0.9 rad/s)GCGv CG== == 411.11mm/sGv= 411mm/sG=v 20.5 Copyright McGraw-Hill Education. Permission required for reproduction or display. 487.97 mm10.37()(487.97 mm)(0.9 rad/s)439.18 mm/sFCFv CF== === 439 mm/sF=v

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978-0073398242 Chapter 15 Solution Manual Part 13

PROBLEM 15.97 At the instant shown, the velocity of collar A is 0.4 m/s to the right and the velocity of collar B is 1 m/s to the left. Determine (a) the angular velocity of bar AD, (b) the angular velocity of bar BD, (c) the velocity of point

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978-0073398242 Chapter 15 Solution Manual Part 14

PROBLEM 15.104 Using the method of section 15.3, solve Problem 15.38. PROBLEM 15.38 An automobile travels to the right at a constant speed of 48 mi/h. If the diameter of a wheel is 22 in., determine the velocities of Points B, C, D, and E on the rim of

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978-0073398242 Chapter 15 Solution Manual Part 15

PROBLEM 15.117 (Continued) //()()D A DA t DA n=++aa a a [Aa= 30 ] [r+260 ] [r+30 ] [720= 30 ] [(100)(7.2)+260 ] [(100)(3)+30 ] Components: 30 : 2720 900 180 mm/s+ = Components: 60 : 2720 mm/s 22 2180 720 742.16 mm/sDa= += 720tan 76.0180= = 30

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978-0073398242 Chapter 15 Solution Manual Part 16

PROBLEM 15.122 (Continued) Components 45 : 221233.7 (0.19)(41.337) 1558.4 m/sDa=+= 21558 m/sD=a 45 Rod BE. 0.05sin , 15.258 , 45 29.7420.19 = = = = EEv=v 45 Since Ev is parallel to ,Bv 0.BE= EEa=a 45 2/( ) 0.19 0B E n BEa= = //( )( )EB t EB

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978-0073398242 Chapter 15 Solution Manual Part 18

PROBLEM 15.127 (Continued) Relative acceleration: DE=aa( ) ( ) ( )2D/ D/21.466 0.12 0.8 1.463 0.12 0.8DEF E DEF E+ = kr rk ij ij21.430 1.537 m/sD= +a ij22.099 m/sF=a47.08Copyright McGraw-Hill Education. Permission required for reproduction or display. Relative acceleration: DE=aa( ) ( ) ( )2D/ D/21.466 0.12

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978-0073398242 Chapter 15 Solution Manual Part 19

PROBLEM 15.133 Knowing that at the instant shown bar AB has an angular velocity of 4 rad/s and an angular acceleration of 2 rad/s2, both clockwise, determine the angular acceleration (a) of bar BD, (b) of bar DE by using the vector approach as is done in Sample Problem

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978-0073398242 Chapter 15 Solution Manual Part 2

PROBLEM 15.8 The angular acceleration of an oscillating disk is defined by the relation . k = Determine (a) the value of k for which 12 = rad/s when 0 = and 6 = rad when 0, = (b) the angular velocity of the disk when 3 = rad. SOLUTION Given: and = dkd =

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978-0073398242 Chapter 15 Solution Manual Part 20

PROBLEM 15.139* The wheels attached to the ends of rod AB roll along the surfaces shown. Using the method of Section 15.4 B, derive an expression for the angular velocity of the rod in terms of , ,, B vl and . SOLUTION Law of sines. sin sinsinsinBBdlld== ()cossincossinBBdvddtlddtl=== sincosBvl= Copyright

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978-0073398242 Chapter 15 Solution Manual Part 21

PROBLEM 15.148* A wheel of radius r rolls without slipping along the inside of a fixed cylinder of radius R with a constant angular velocity . Denoting by P the point of the wheel in contact with the cylinder at 0,t= derive expressions for the horizontal and vertical components

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978-0073398242 Chapter 15 Solution Manual Part 22

PROBLEM 15.157 The motion of pin P is guided by slots cut in rods AD and BE. Knowing that bar AD has a constant angular velocity of 4 rad/s clockwise and bar BE has an angular velocity of 5 rad/s counterclockwise and is slowing down at a rate of

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978-0073398242 Chapter 15 Solution Manual Part 23

PROBLEM 15.164 At the instant shown the length of the boom AB is being decreased at the constant rate of 0.2 m/s and the boom is being lowered at the constant rate of 0.08 rad/s. Determine (a) the velocity of Point B, (b) the acceleration of Point B. SOLUTION

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978-0073398242 Chapter 15 Solution Manual Part 24

PROBLEM 15.170 (Continued) Coriolis acceleration: 0.8336 4.72704=+ij Acceleration of W: //21.00408 1.88176W W W SE W SE= + +=aaa vij 22.13 m/sW=a 61.9 Copyright McGraw-Hill Education. Permission required for reproduction or display. 0.8336 4.72704=+ij Acceleration of W: //21.00408 1.88176W W W SE W SE= + +=aaa vij

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978-0073398242 Chapter 15 Solution Manual Part 25

PROBLEM 15.176 Knowing that at the instant shown the rod attached at A has an angular velocity of 5 rad/s counterclockwise and an angular acceleration of 2 rad/s2 clockwise, determine the angular velocity and the angular acceleration of the rod attached at B. SOLUTION Geometry: Apply the law

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978-0073398242 Chapter 15 Solution Manual Part 26

PROBLEM 15.181* Rod AB passes through a collar that is welded to link DE. Knowing that at the instant shown block A moves to the right at a constant speed of 75 in./s, determine (a) the angular velocity of rod AB, (b) the velocity relative to the collar of

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978-0073398242 Chapter 15 Solution Manual Part 27

PROBLEM 15.187 At the instant considered the radar antenna shown rotates about the origin of coordinates with an angular velocity xyz =++ i jk . Knowing that ( ) 15 Ay v= in./s, () 9 By v= in./s, and () 18 Bz v= in./s, determine (a) the angular velocity of the antenna, (b) the velocity of point A. SOLUTION (

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978-0073398242 Chapter 15 Solution Manual Part 28

PROBLEM 15.195 A 3-in.-radius disk spins at the constant rate 2 4 = rad/s about an axis held by a housing attached to a horizontal rod that rotates at the constant rate 15 = rad/s. For the position shown, determine (a) the angular acceleration of the disk, (b) the acceleration of Point

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978-0073398242 Chapter 15 Solution Manual Part 29

PROBLEM 15.202 In Problem 15.201 the speed of Point B is known to be constant. For the position shown, determine (a) the angular acceleration of the guide arm, (b) the acceleration of Point C. PROBLEM 15.201 Several rods are brazed together to form the robotic guide arm shown, which

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978-0073398242 Chapter 15 Solution Manual Part 3

PROBLEM 15.17 The earth makes one complete revolution on its axis in 23 h 56 min. Knowing that the mean radius of the earth is 3960 mi, determine the linear velocity and acceleration of a point on the surface of the earth (a) at the equator, (b) at Philadelphia, latitude

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978-0073398242 Chapter 15 Solution Manual Part 30

PROBLEM 15.209 Rod AB of length 300 mm is connected by ball-and-socket joints to collars A and B, which slide along the two rods shown. Knowing that collar B moves toward Point D at a constant speed of 50 mm/s, determine the velocity of collar A when 120

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978-0073398242 Chapter 15 Solution Manual Part 32

PROBLEM 15.220 A flight simulator is used to train pilots on how to recognize spatial disorientation. It has four degrees of freedom, and can rotate around a planetary axis as well as in yaw, pitch, and roll. The pilot is seated so that her head B is located at

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978-0073398242 Chapter 15 Solution Manual Part 33

PROBLEM 15.227 (Continued) (a) Velocity of Point D. / (0.75 m/s) (0.75 3 m/s) ( 3 m/s) D D DF D = + =+ vvv v i jk (0.750 m/s) (1.299 m/s) (1.732 m/s)D=+v ijk Coriolis acceleration. /2DFv /22 (2)(10 ) (0.75 0.75 3 )(15 m/s )DF= += v j i jk (b) Acceleration of

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978-0073398242 Chapter 15 Solution Manual Part 34

PROBLEM 15.234 The 400-mm bar AB is made to rotate at the constant rate 2 = / d dt = 8 rad/s with respect to the frame CD which itself rotates at the constant rate 1 = 12 rad/s about the Y axis. Knowing that = 60 at the instant shown,

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978-0073398242 Chapter 15 Solution Manual Part 35

PROBLEM 15.239 (Continued) Velocity of Point B. /2.5 3 4 3 4 1.5sin30 1.5cos30B B BFB= += + + + vvvv i jk j k (4.33 ft/s) (6.18 ft/s) (5.30 ft/s)B=+v ijk Coriolis acceleration. /2BFv /2 222 (2)(0.40 0.25 ) (1.5sin30 1.5cos30 )(0.64952 ft/s ) (1.03923 ft/s ) (0.6

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978-0073398242 Chapter 15 Solution Manual Part 36

PROBLEM 15.244 A square plate of side 2r is welded to a vertical shaft that rotates with a constant angular velocity 1 . At the same time, rod AB of length r rotates about the center of the plate with a constant angular velocity 2 with respect to the plate.

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978-0073398242 Chapter 15 Solution Manual Part 37

PROBLEM 15.249 Two blocks and a pulley are connected by inextensible cords as shown. The relative velocity of block A with respect to block B is 2.5 ft/s to the left at time t = 0 and 1.25 ft/s to the left when t = 0.25 s. Knowing that

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978-0073398242 Chapter 15 Solution Manual Part 38

PROBLEM 15.254 (Continued) (a) Angular acceleration of AB. 2 7.90 rad/s AB = (b) Angular acceleration of the wheel. 2() () 0() ( 2.0187) 134.6 rad/s0.015Pt Bt BPBtBPa arar=+==== 2134.6 rad/sBP= Copyright McGraw-Hill Education. Permission required for reproduction or display. (b) Angular acceleration of the wheel. 2() () 0() ( 2.0187) 134.6

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978-0073398242 Chapter 15 Solution Manual Part 39

PROBLEM 15.259 (Continued) Coriolis acceleration. / 2 2 (2)(1.2 ) ( 9 3 ) (7.2 in./s ) AF = + = v i ij k Acceleration of Point A. //28.64 12.96 9 13.5 7.2A A AF AFA=+ += + +aaa va j ki j k 222(9.00 in./s ) (22.1 in./s ) (5.76 in./s )A=a ijk Copyright

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978-0073398242 Chapter 15 Solution Manual Part 4

PROBLEM 15.26 Ring C has an inside radius of 55 mm and an outside radius of 60 mm and is positioned between two wheels A and B, each of 24-mm outside radius. Knowing that wheel A rotates with a constant angular velocity of 300 rpm and that no slipping

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978-0073398242 Chapter 15 Solution Manual Part 5

PROBLEM 15.33 Two friction wheels A and B are both rotating freely at 300 rpm counterclockwise when they are brought into contact. After 12 s of slippage, during which time each wheel has a constant angular acceleration, wheel B reaches a final angular velocity of 75 rpm counterclockwise. Determine

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978-0073398242 Chapter 15 Solution Manual Part 6

PROBLEM 15.42 Rod AB can slide freely along the floor and the inclined plane. At the instant shown the angular velocity of the rod is 4.2 rad/s counterclockwise. Determine (a) the velocity of end A of the rod, (b) the velocity of end B of the rod. SOLUTION

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978-0073398242 Chapter 15 Solution Manual Part 7

PROBLEM 15.51 In the simplified sketch of a ball bearing shown, the diameter of the inner race A is 60 mm and the diameter of each ball is 12 mm. The outer race B is stationary while the inner race has an angular velocity of 3600 rpm. Determine (a)

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978-0073398242 Chapter 15 Solution Manual Part 8

PROBLEM 15.59 The test rig shown was developed to perform fatigue testing on fitness trampolines. A motor drives the 9-in radius flywheel AB, which is pinned at its center point A, in a counterclockwise direction. The flywheel is attached to slider CD by the 18-in connecting rod BC. Knowing

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978-0073398242 Chapter 15 Solution Manual Part 9

PROBLEM 15.67 Roberts linkage is named after Richard Robert (17891864) and can be used to draw a close approximation to a straight line by locating a pen at Point F. The distance AB is the same as BF, DF and DE. Knowing that the angular velocity of plate BDF

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978-0073398242 Chapter 16 Solution Manual Part 1

CHAPTER 16 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.1 A 60-lb uniform thin panel is placed in a truck with end A resting on

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978-0073398242 Chapter 16 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.59 The steel roll shown has a mass of 1200 kg, has a centriodal radius of gyration of 150 mm, and

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978-0073398242 Chapter 16 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.66 A thin plate of the shape indicated and of mass m is suspended from two springs as shown. If spring

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978-0073398242 Chapter 16 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.71 (Continued) (b) Eq. (2): 10 1 15 0.1(32.2)(1.5972) k v v gt = = 9.857 ft/s= 19.86 ft/sv= (c) 220.1(32.2 ft/s )

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978-0073398242 Chapter 16 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.79 In Problem 16.78, determine (a) the distance h for which the horizontal component of the reaction at A is zero,

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978-0073398242 Chapter 16 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.87 (Continued) (b) Components of reaction of C. 2 eff ( ) : (1.5 kg)(14 m/s ) x x x AB n F F

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978-0073398242 Chapter 16 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.93 Show that in the case of an unbalanced disk, the equation derived in Problem 16.92 is valid only when the mass

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978-0073398242 Chapter 16 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.100 A drum of 60-mm radius is attached to a disk of 120-mm radius. The disk and drum have a total

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978-0073398242 Chapter 16 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.112 Solve Problem 16.111, considering a half cylinder instead of a hemisphere. [Hint. Note that 4 /3 OG r = and that, by

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978-0073398242 Chapter 16 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.118 The 10-lb-uniform rod AB has a total length 2L = 2 ft and is attached to collars of negligible mass

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978-0073398242 Chapter 16 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.7 The support bracket shown is used to transport a cylindrical can from one elevation to another. Knowing that 0.25 s = between

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978-0073398242 Chapter 16 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.124 The 4-kg uniform rod ABD is attached to the crank BC and is fitted with a small wheel that can

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978-0073398242 Chapter 16 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.128 (Continued) Kinematics: =+vvr =+vvr =+ vvr Equating i-terms: Relative Acceleration: Equating i components: (5) Equating j components: (6) Relative Acceleration: (7)

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978-0073398242 Chapter 16 Solution Manual Part 22

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.133 For the car of Problem 16.132, determine the smallest constant acceleration that the driver can maintain if the door is

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978-0073398242 Chapter 16 Solution Manual Part 23

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.136 (Continued) Effective couples at mass centers. Disk AB: (0.2)(150) AB AB I= 30 N m= Rod BC: (0.08)(149.649)BC BCI=11.97192 N

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978-0073398242 Chapter 16 Solution Manual Part 24

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.141 (Continued) Rod AE: / , AE AE P AE u= = k a j // 2 P P P AE P AE =+ +aaa

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978-0073398242 Chapter 16 Solution Manual Part 25

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.145 (Continued) Rod eff / ( ) : 0 ( ) ( cos25 ) 22 A A RGR RC LL M M I ma

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978-0073398242 Chapter 16 Solution Manual Part 26

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.151* (a) Determine the magnitude and the location of the maximum bending moment in the rod of Problem 16.78. (b) Show that

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978-0073398242 Chapter 16 Solution Manual Part 27

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.157 The uniform rod AB of weight W is released from rest when 70 . = Assuming that the friction

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978-0073398242 Chapter 16 Solution Manual Part 28

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.161 A cylinder with a circular hole is rolling without slipping on a fixed curved surface as shown. The cylinder would

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978-0073398242 Chapter 16 Solution Manual Part 29

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.164 (Continued) 1232.2 ft/s 1232.2 ft/s 12 32.2 ft/s 22 2 6 lb 1.5 ft (81.391 rad/s ) 0.23697 lb ft 0

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978-0073398242 Chapter 16 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.13 (Continued) (b) Tension in link AB. 89525AF mg= Taking mg to be half the weight of the machine, 21(20 kg)(9.81

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978-0073398242 Chapter 16 Solution Manual Part 30

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.F3 Two uniform disks and two cylinders are assembled as indicated. Disk A weighs 20 lb and disk B weighs 12

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978-0073398242 Chapter 16 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.20 (Continued) Thus, 0.50 (22.5 lb) 11.25 lbmsFN= = = Since , the block will slidemFF> Now assume that the block

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978-0073398242 Chapter 16 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.27 The 8-in.-radius brake drum is attached to a larger flywheel that is not shown. The total mass moment of inertia

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978-0073398242 Chapter 16 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.34 Each of the double pulleys shown has a mass moment of inertia of 2 15 lb ft s and is initially at

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978-0073398242 Chapter 16 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.39 (Continued) Check that belt does not slip. From (2): 5(0.864) 0.720 lb6AF= = From (4): 3.60 0.720 2.88 lbeAF PF==

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978-0073398242 Chapter 16 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.44 (Continued) When disks have stopped slipping: 0(2 ) 2P AA BBBAk kAvrrmr g t gtm = == 001212BAAmkmAAkABrtgrmtgm m=+=+ (5)

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978-0073398242 Chapter 16 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 16.50 A force P of magnitude 3 N is applied to a tape wrapped around the body indicated. Knowing that the

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978-0073398242 Chapter 17 Solution Manual Part 1

CHAPTER 17 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.1 A 200-kg flywheel is at rest when a constant 300 N m couple is applied. After executing

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978-0073398242 Chapter 17 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.58 Disk A, of weight 5 lb and radius 3in.,r is at rest when it is placed in contact with a

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978-0073398242 Chapter 17 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.64 (Continued) Moments about A: 0AAB AA A ArT t rTt I 60.9 0.90 ( ) (0.75)(0.24) (169.837 10 )(133.333)12 120.48193

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978-0073398242 Chapter 17 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.71 (Continued) (a) (0.150)(17.0077) 2.55115 m/sv 2.55 m/sv Linear components: 0Pt mgt Qt mv (3)(2.55115) (3)(9.81) 241.5mvQmgPt (b) Tension in

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978-0073398242 Chapter 17 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.76 (Continued) Moments about B: 2 (4 ) 1 4( ) (4 ) 12 ABC ABC Mt Qt r I Mt Qt r m r 24( )

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978-0073398242 Chapter 17 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.83 (Continued) Moments about C: 2.5359 rad/s 2.5359 rad/s 2 .5359 rad/s 11 1/1 2 2 2/2 22/1 1 /2

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978-0073398242 Chapter 17 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.89 (Continued) Solving the quadratic equation for , I 0.04965167 0.126590 0.050804 and 0.022179 3.46904 3.46904 3.46904 I Reject the negative root. From Equation (10),

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978-0073398242 Chapter 17 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.94 (Continued) Kinetic energy. /AB DCE AB G C rII mrv /AB DCE AB G C rII mrv / AB DCE AB

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978-0073398242 Chapter 17 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.100 (Continued) Principle of impulse and momentum. 1 Syst. Momenta 12 Syst. Ext. Imp. 2 Syst. Momenta Moments about A:

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978-0073398242 Chapter 17 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.106 (Continued) Substitute rolling Kinematics and Mass Moment Equations into Momentum Equation: cm 22r2cosvr cm cm 22r2cosvr cm

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978-0073398242 Chapter 17 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.112 (Continued) moments about B: 000tmv mv L mv L mL L I 000tmv mv L mv L mL

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978-0073398242 Chapter 17 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.8 (Continued) 12 5.886 2 36.983 N m BB k k UM Principle of work and energy for cylinder B. 2 1122 : 0 36.983

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978-0073398242 Chapter 17 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.118 A uniformly loaded square crate is released from rest with its corner D directly above A; it rotates about A

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978-0073398242 Chapter 17 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.123 A slender rod AB is released from rest in the position shown. It swings down to a vertical position and strikes

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978-0073398242 Chapter 17 Solution Manual Part 22

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.127 (Continued) Coefficient of restitution. 4 ()ev v ()ev v () ev v DAD D A L vvv 0.1875 (0.5)(3 0)Dv (2) Solving Eqs. (1)

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978-0073398242 Chapter 17 Solution Manual Part 23

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.132 (Continued) Add Equations (1) and (2) to eliminate .Pdt 11 or AB BA mv mv mv v v v (3) Condition

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978-0073398242 Chapter 17 Solution Manual Part 24

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.137 (Continued) Kinetics: (b) (c) Work Energy Equation Pos. 1 and 3: 0OOMItTttTFmaOmy0tO2212 31.9190.7 2.8168 5.99312359.7 lbsnTnnT TnnFmayOmgmOO359.7 lbsnO1T1,1geVV '13 3UT

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978-0073398242 Chapter 17 Solution Manual Part 25

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.142 (Continued) Panel in down position ( ) (2 )[ (2 ) ]Itbbb Panel in down position ( ) (2 )[

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978-0073398242 Chapter 17 Solution Manual Part 26

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.CQ2 A solid steel sphere A of radius r and mass m is released from rest and rolls without slipping down an

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978-0073398242 Chapter 17 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.15 Gear A has a mass of 1 kg and a radius of gyration of 30 mm; gear B has a

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978-0073398242 Chapter 17 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.20 A 160-lb gymnast is executing a series of full-circle swings on the horizontal bar. In the position shown he has

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978-0073398242 Chapter 17 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.27 Greek engineers had the unenviable task of moving large columns from the quarries to the city. One engineer, Chersiphron, tried

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978-0073398242 Chapter 17 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.32 Two uniform cylinders, each of weight W 14 lb and radius r 5 in., are connected by a belt as

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978-0073398242 Chapter 17 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.38 A long ladder of length l, mass m, and centroidal mass moment of inertia I is placed against a house

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978-0073398242 Chapter 17 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.42 (Continued) By Eq. (2), 22 2 2735kg m 21.096 J12 12AB ABmL 2227.2329 rad /s 2.6894 rad/sAB AB By Eq.

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978-0073398242 Chapter 17 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 17.48 Knowing that the maximum allowable couple that can be applied to a shaft is 15.5 kip in., determine the maximum horsepower

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978-0073398242 Chapter 18 Solution Manual Part 1

CHAPTER 18 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.1 A thin, homogeneous disk of mass m and radius r spins at the constant rate 1 about

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978-0073398242 Chapter 18 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.64 Determine the rate of change G H of the angular momentum H G of the disk of Prob. 18.8 for an arbitrary value of

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978-0073398242 Chapter 18 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.68 (Continued) Then 222 2 2() () () () 222 2 22 (2)(1)(0.2) (12) 14.4 N4(4)(0.2)0, 14.4 Nxzzyzzaa a aIma m

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978-0073398242 Chapter 18 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.73 (Continued) For calculation of ,xzI use pairs of elements 1dA and 2:dA 21dA dA 21210(4 ) (2 ) (2 )22

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978-0073398242 Chapter 18 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.77 (Continued) (b) Reactions at and for the case 0.AB 2xyxzyz xzMcA I I I 63(187.5 10 )(12) 15 10 N0.150xzyIAc

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978-0073398242 Chapter 18 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.84 The essential structure of a certain type of aircraft turn indicator is shown. Each spring has a constant of 500

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978-0073398242 Chapter 18 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.89 (Continued) Let the reference frame Dxyz be rotating with angular velocity 1. 110sin cosGG G xxyyGxyz II HH ijij 2211

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978-0073398242 Chapter 18 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.95 Two disks, each of mass 5 kg and radius 300 mm, spin as shown at the rate 11200 rpm about a

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978-0073398242 Chapter 18 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.100 An experimental Fresnel-lens solar-energy concentrator can rotate about the horizontal axis AB, which passes through its mass center G. It is

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978-0073398242 Chapter 18 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.104 (Continued) Resolve into components. 2 22 2 22 /222202222 22( ) ( ) ( ) ( )EEAAE AA Axy Al D D M

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978-0073398242 Chapter 18 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.109 The 85-g top shown is supported at the fixed Point O. The radii of gyration of the top with respect

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978-0073398242 Chapter 18 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.7 (Continued) For each plate parallel to the xy plane: 1 5 mm 2 222177a 222177a 222 177 a 2 222 22 2 2151 22 2 2151 22 2 2 151 (2 )12 2

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978-0073398242 Chapter 18 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.114 A homogeneous cone of height h = 12 in. and with a base diameter d = 6 in. is

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978-0073398242 Chapter 18 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.120 (a) Show that for an axisymmetrical body under no force, the rate of precession can be expressed as cos z I I where z

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978-0073398242 Chapter 18 Solution Manual Part 22

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.128 Solve Sample Problem 18.6, assuming that the meteorite strikes the satellite at C with a velocity 0(2000 m/s) .vi PROBLEM

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978-0073398242 Chapter 18 Solution Manual Part 23

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.132 A homogeneous rectangular plate of mass m and sides c and 2c is held at A and B by a

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978-0073398242 Chapter 18 Solution Manual Part 24

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.137* The top shown is supported at the fixed Point O. Denoting by ,, and the Eulerian angles defining the

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978-0073398242 Chapter 18 Solution Manual Part 25

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.141* (Continued) Given data: 217 011 g a Substituting into Eq. (6), 2211 11 sinaa Letting 22cos 1 sin , we have 2sin

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978-0073398242 Chapter 18 Solution Manual Part 26

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.147 Three 25-lb rotor disks are attached to a shaft which rotates at 720 rpm. Disk A is attached eccentrically so

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978-0073398242 Chapter 18 Solution Manual Part 27

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.153 A homogeneous disk of weight 6 lb W rotates at the constant rate 1 16 rad/s with respect to arm ABC, which

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978-0073398242 Chapter 18 Solution Manual Part 28

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.158 The essential features of the gyrocompass are shown. The rotor spins at the rate about an axis mounted in

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978-0073398242 Chapter 18 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.16 For the assembly of Prob. 18.15, determine ( a ) the angular momentum B H of the assembly about point B , ( b ) the

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978-0073398242 Chapter 18 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.24 Solve Problem 18.23, assuming that the bent rod is hit at C . PROBLEM 18.23 A uniform rod of total mass

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978-0073398242 Chapter 18 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.29 A circular plate of mass m is falling with a velocity 0 v and no angular velocity when its edge C

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978-0073398242 Chapter 18 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.34 The coordinate axes shown represent the principal centroidal axes of inertia of a 3000-lb space probe whose radii of gyration are

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978-0073398242 Chapter 18 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.41 Determine the kinetic energy of the assembly of Problem 18.3. PROBLEM 18.3 Two uniform rods AB and CE, each of weight

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978-0073398242 Chapter 18 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.50 Determine the kinetic energy imparted to the cube of Problem 18.21. PROBLEM 18.21 One of the sculptures displayed on a university

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978-0073398242 Chapter 18 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 18.56 Determine the rate of change G H of the angular momentum G H of the plate of Problem 18.2. PROBLEM 18.2 A thin

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978-0073398242 Chapter 19 Solution Manual Part 1

CHAPTER 19 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.1 A particle moves in simple harmonic motion. Knowing that the maximum velocity is 200 mm/s and the maximum

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978-0073398242 Chapter 19 Solution Manual Part 10

S O For VolWeiMasMomPeri Copyrighthe sphere, lume: ight: ss: ment of inertiiod: ht McGrawa: w-Hill EducaI=r=sV==sW===sm==I==s=ation. Permiss2224K=0.625 in2d==3644(33591.81 10r===3(490 lb/ft )(50.28999 lbsV===30.289932.29.0059 10sWg===2622(559.7719 10smr===3.80 s= sion requiredn.52.08310=363(52.083 10)ft6591.81 10f3299lb s /ft 3629.0059 10)lb s ftd for reprodu30ft 3) 3ft) 3)(52.083 10ction or disp32) lay. (3) For VolWeiMasMomPeri

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978-0073398242 Chapter 19 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.74 A connecting rod is supported by a knife edge at Point A; the period of its small oscillations is observed

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978-0073398242 Chapter 19 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.80 (Continued) Conservation of energy. 222 22 2 11 2 2 0 11 1 1 1 :00 22 3 2 2 2 AB m m

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978-0073398242 Chapter 19 Solution Manual Part 13

SO Ki n Let Pos Copyrigh sition1 ht McGraww-Hill Educa2(2(Ammm===112T=+111121211212120ACABIIITTV======ation. Permiss))mCmCm 21(22122AmCABmIIlm++2222222(4 )(2 )81()() 21 282510 3CDmrmrmml Irmrmr l==++ sion required2212)2122mABCDIlm++22222228112412 3mmrmrmlll=+++d for reprodu221(2222mCDmI+224ll++ ction or disp2)m lay. Let Pos Copyrigh sition1 ht McGraww-Hill Educa2(2(Ammm===112T=+111121211212120ACABIIITTV======ation. Permiss))mCmCm 21(22122AmCABmIIlm++2222222(4 )(2 )81()() 21 282510 3CDmrmrmml Irmrmr l==++ sion required2212)2122mABCDIlm++22222228112412 3mmrmrmlll=+++d for reprodu221(2222mCDmI+224ll++ ction or disp2)m

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978-0073398242 Chapter 19 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.93 The motion of the uniform rod AB is guided by the cord BC and by the small roller at A.

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978-0073398242 Chapter 19 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.102 A 64-lb block is attached to a spring of constant 1kip/ftk= and can move without friction in a vertical slot

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978-0073398242 Chapter 19 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.109 (Continued) Then 2 224 22 22 22 112 1 0and 20and 2nnff== == 0and 20and 2nnff== == 0and 2 0and 2 nn ff == == fff nnn ffnn ffnn ff nn =+=

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978-0073398242 Chapter 19 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.116 (Continued) Out of phase motion with | | 0.06 in. m x= 0.00125 0.06 0.06< 0.00125 0.06 0.06< 0.00125

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978-0073398242 Chapter 19 Solution Manual Part 18

SO G d Th u DefThuflection of the us, shaft is FFkr= nma= DefThuflection of the us, shaft is FFkr= nma= De f Th u f lection of the u s, shaft is F F kr= n ma = f f f 2nkrkrr2()fmr ekmm=+==22222()1nfnnkree=+= 2nk2f 2nkrkrr2()fmr ekmm=+==22222()1nfnnkree=+= 2nk2f 2 n kr kr r 2 () f mr e km m =+ = = 2 2 2 2 2 () 1 n f n n kre e =+ = 2 n k 2 f Copyrighht McGraww-Hill Educaation. Permisssion requiredd for

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978-0073398242 Chapter 19 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.132 A loaded railroad car weighing 30,000 lb is rolling at a constant velocity v0 when it couples with a spring and

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978-0073398242 Chapter 19 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.9 A 10-lb block A rests on a 40-lb plate B which is attached to an unstretched spring of constant k

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978-0073398242 Chapter 19 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.140 In Problem 19.139, determine the required value of the coefficient of damping if the amplitude of the steady-state vibration of

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978-0073398242 Chapter 19 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.148 A 91-kg machine element supported by four springs, each of constant k = 175 N/m, is subjected to a periodic

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978-0073398242 Chapter 19 Solution Manual Part 22

(b) Thus, At 0,t= From TableFor Ei=e 19.2: 11,E mAv AecAe+0mc+=(dxAedt=00dxdt=dxvdt== i, P E1ELR=1Rt=ePc+=cm= (/)cmtPc+ 0PAc=+(/ )1cmtpec=E, c R, (/)1RL te P PAc= t m L LtR= Thus, At 0,t= From TableFor Ei=e 19.2: 11,E mAv AecAe+0mc+=(dxAedt=00dxdt=dxvdt== i, P E1ELR=1Rt=ePc+=cm= (/)cmtPc+ 0PAc=+(/ )1cmtpec=E, c R,

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978-0073398242 Chapter 19 Solution Manual Part 23

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.162 The block shown is depressed 1.2 in. from its equilibrium position and released. Knowing that after 10 cycles the maximum

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978-0073398242 Chapter 19 Solution Manual Part 24

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.166 (Continued) Amplitude of vibration. Use Eq. (19.53). () () () 22 2 12 1 m f f cn n P k m c c x = + Where 1 1 (2.1631) 3.679= = Where 1 1 (2.1631) 3.679= = Where

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978-0073398242 Chapter 19 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.15 (Continued) Solving for and m x 0.26975 m m x= 0.25531 rad = So, from time of impact, the time of flight is the time necessary for the collar to come to rest on its downward motion. Thus, 2 tis the time such

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978-0073398242 Chapter 19 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.23 Two springs of constants 1 k and 2 kare connected in series to a block A that vibrates in simple harmonic motion

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978-0073398242 Chapter 19 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.31 (Continued) (a) For 0.5 s:= 22;0.5 4=== (a) For 0.5 s:= 22;0.5 4=== (a) For 0.5 s: = 22 ;0.5 4 === nnn nnn n nn

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978-0073398242 Chapter 19 Solution Manual Part 6

S O Elim(a) (b) mxminate, aPF2kx P= and 22nm=+32Mmx++(250234 kg2kM=27.735n=2nn== MxP=1220kx+= )00 N/m 76g9 kg =+5 rad/s 0.22654 s PF 2MrFr= 69.23 (max12v=n=)2 mm 33n=0.227 s= 33 mm/s Elim(a) (b) mxminate, aPF2kx P= and 22nm=+32Mmx++(250234 kg2kM=27.735n=2nn== MxP=1220kx+= )00 N/m 76g9 kg =+5 rad/s 0.22654 s PF 2MrFr= 69.23 (max12v=n=)2

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978-0073398242 Chapter 19 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.46 A three-bladed wind turbine used for research is supported on a shaft so that it is free to rotate about

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978-0073398242 Chapter 19 Solution Manual Part 8

SO 000effsmgrsgr+2in mk=+in 0=t2mr+ (1) 000effsmgrsgr+2in mk=+in 0=t2mr+ (1) 0 0 0 eff smgr s gr + 2 in mk = + in 0 = t 2 mr + (1) For a simple penddulum of lengtth ,OA l= g22rk+ For a simple penddulum of lengtth ,OA l= g22rk+ For a simple pen d d ulum of leng t t h ,OA l= g 22 rk + Com Copyrighmparing Equatht McGrawtions

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978-0073398242 Chapter 19 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 19.60 (Continued) (b) When the disk is riveted at A, it rotates at an angular acceleration . Equation of motion.

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978-0073398242 Chapter 2 Solution Manual Part 1

CHAPTER 2 PROBLEM 2.1 Two forces are applied as shown to a hook. Determine graphically the magnitude and direction of their resultant using (a) the parallelogram law, (b) the triangle rule. SOLUTION (a) Parallelogram law: (b) Triangle rule: We measure: 1391 kN, 47.8R=

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978-0073398242 Chapter 2 Solution Manual Part 10

PROBLEM 2.89 A rectangular plate is supported by three cables as shown. Knowing that the tension in cable AB is 408 N, determine the components of the force exerted on the plate at B. SOLUTION We have: (320 mm) (480 mm) (360 mm) 680 mmBA BA=+=i+ j-

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978-0073398242 Chapter 2 Solution Manual Part 11

PROBLEM 2.98 For the boom and loading of Problem. 2.97, determine the magnitude of the load P. PROBLEM 2.97 The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension in cable AB is 183 lb and that the resultant

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978-0073398242 Chapter 2 Solution Manual Part 12

PROBLEM 2.104 (Continued) Equilibrium condition: 0: (36 lb) 0 DA DB DC F= + + + =TTT j Substituting the expressions obtained for , , andDA DB DCTT T and factoring i, j, and k: (0.55471 0.30151 0.30151 ) ( 0.83206 0.90453 0.90453 36 lb)(0.30151 0.30151 ) 0DA DB DC DA

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978-0073398242 Chapter 2 Solution Manual Part 13

PROBLEM 2.111 A transmission tower is held by three guy wires attached to a pin at A and anchored by bolts at B, C, and D. If the tension in wire AB is 840 lb, determine the vertical force P exerted by the tower on the pin at

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978-0073398242 Chapter 2 Solution Manual Part 14

PROBLEM 2.117 For the cable system of Problems 2.107 and 2.108, determine the tension in each cable knowing that 2880 NP= and 576 N.Q= SOLUTION See Problem 2.116 for the analysis leading to the linear algebraic Equations (1), (2), and (3) below: 48 12 48 053 13

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978-0073398242 Chapter 2 Solution Manual Part 15

PROBLEM 2.124 Knowing that the tension in cable AE of Prob. 2.123 is 75 lb, determine (a) the magnitude of the load P, (b) the tension in cables BAC and AD. PROBLEM 2.123 Cable BAC passes through a frictionless ring A and is attached to fixed supports at B

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978-0073398242 Chapter 2 Solution Manual Part 16

PROBLEM 2.133 The end of the coaxial cable AE is attached to the pole AB, which is strengthened by the guy wires AC and AD. Knowing that the tension in wire AC is 120 lb, determine (a) the components of the force exerted by this wire on the

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978-0073398242 Chapter 2 Solution Manual Part 17

PROBLEM 2.F4 A chairlift has been stopped in the position shown. Knowing that each chair weighs 250 N and that the skier in chair E weighs 765 N, draw the free-body diagrams needed to determine the weight of the skier in chair F. SOLUTION Free-Body Diagram of

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978-0073398242 Chapter 2 Solution Manual Part 2

PROBLEM 2.9 A disabled automobile is pulled by means of two ropes as shown. Knowing that the tension in rope AB is 3 kN, determine by trigonometry the tension in rope AC and the value of so that the resultant force exerted at A is a 4.8-kN force

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978-0073398242 Chapter 2 Solution Manual Part 3

PROBLEM 2.19 Two forces P and Q are applied to the lid of a storage bin as shown. Knowing that P = 48 N and Q = 60 N, determine by trigonometry the magnitude and direction of the resultant of the two forces. SOLUTION Using the force

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978-0073398242 Chapter 2 Solution Manual Part 4

PROBLEM 2.29 The hydraulic cylinder BD exerts on member ABC a force P directed along line BD. Knowing that P must have a 750-N component perpendicular to member ABC, determine (a) the magnitude of the force P, (b) its component parallel to ABC. SOLUTION (a) 750 N

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978-0073398242 Chapter 2 Solution Manual Part 5

PROBLEM 2.39 For the collar of Problem 2.35, determine (a) the required value of if the resultant of the three forces shown is to be vertical, (b) the corresponding magnitude of the resultant. SOLUTION (100 N)cos (150 N)cos( 30 ) (200 N)cos(100 N)cos (150 N)cos( 30

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978-0073398242 Chapter 2 Solution Manual Part 6

PROBLEM 2.49 Two cables are tied together at C and are loaded as shown. Knowing that P = 300 N, determine the tension in cables AC and BC. SOLUTION Free-Body Diagram 0 sin30 sin30 cos45 200N 0x CA CBFTT P = + = For 200NP= we have, 0.5

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978-0073398242 Chapter 2 Solution Manual Part 7

PROBLEM 2.59 For the situation described in Figure P2.48, determine (a) the value of for which the tension in rope BC is as small as possible, (b) the corresponding value of the tension. SOLUTION Free-Body Diagram Force Triangle To be smallest, BCT must be perpendicular to

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978-0073398242 Chapter 2 Solution Manual Part 8

PROBLEM 2.69 A load Q is applied to the pulley C, which can roll on the cable ACB. The pulley is held in the position shown by a second cable CAD, which passes over the pulley A and supports a load P. Knowing that 750 N,P= determine (a)

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978-0073398242 Chapter 2 Solution Manual Part 9

PROBLEM 2.79 Determine the magnitude and direction of the force F = (240 N)i (270 N)j + (680 N)k. SOLUTION 222222(240 N) ( 270 N) ( 680 N)xyzF FFFF= ++= + + 770 NF= 240 Ncos 770 NxxFF= = 71.8x= 270 Ncos 770 NyyFF= = 110.5y= 680 Ncos

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978-0073398242 Chapter 3 Solution Manual Part 1

CHAPTER 3 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.1 A crate of mass 80 kg is held in

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978-0073398242 Chapter 3 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.86 A worker tries to move a rock by applying a 360-N force to a steel

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978-0073398242 Chapter 3 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.96 To keep a door closed, a wooden stick is wedged between the floor and the doorknob.

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978-0073398242 Chapter 3 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.105 The weights of two children sitting at ends A and B of a seesaw are

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978-0073398242 Chapter 3 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.113 A truss supports the loading shown. Determine the equivalent force acting on the truss and

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978-0073398242 Chapter 3 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.122 In order to unscrew the tapped faucet A, a plumber uses two pipe wrenches as shown.

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978-0073398242 Chapter 3 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.131 A concrete foundation mat of 5-m radius supports four equally spaced columns, each of which is

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978-0073398242 Chapter 3 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.138* Two bolts at A and B are tightened by applying the forces and couples shown. Replace

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978-0073398242 Chapter 3 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.142* (Continued) Substituting ?160( 42 18 8 ) ( 3 ) 011 + + =i j k ij k

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978-0073398242 Chapter 3 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.147 A 300-N force P is applied at Point A of the bell crank shown. (a) Compute

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978-0073398242 Chapter 3 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.156 (Continued) (b) 21(42 42 49 ) N== +FF i j k or 2(42.0 N) (42.0 N) (49.0 N)=+F

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978-0073398242 Chapter 3 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.9 Rod AB is held in place by the cord AC. Knowing that the tension in the

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978-0073398242 Chapter 3 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.19 Determine the moment about the origin O of the force F = 4i 3j + 5k that

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978-0073398242 Chapter 3 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.29 In Prob. 3.24, determine the perpendicular distance from point B to wire AE. PROBLEM 3.24

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978-0073398242 Chapter 3 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.39 Knowing that the tension in cable AC is 280 lb, determine (a) the angle between cable

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978-0073398242 Chapter 3 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.49 To loosen a frozen valve, a force F of magnitude 70 lb is applied to

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978-0073398242 Chapter 3 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.58 In Problem 3.57, determine the moment about the diagonal AD of the force exerted on the

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978-0073398242 Chapter 3 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.68 In Problem 3.59, determine the perpendicular distance between cable AE and the line joining Points D

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978-0073398242 Chapter 3 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 3.78 Replace the two couples shown with a single equivalent couple, specifying its magnitude and the direction

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978-0073398242 Chapter 4 Solution Manual Part 1

CHAPTER 4 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.1 A gardener uses a 60-N wheelbarrow to transport a 250-N

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978-0073398242 Chapter 4 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.76 Solve Problem 4.75, assuming that the 170-N force applied at B is horizontal and

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978-0073398242 Chapter 4 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.85 An 8-kg slender rod of length L is attached to collars that can slide freely

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978-0073398242 Chapter 4 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.94 A 48-ft sheet of plywood weighing 34 lb has been temporarily placed among three

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978-0073398242 Chapter 4 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.103 The 24-lb square plate shown is supported by three vertical wires. Determine (a) the tension

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978-0073398242 Chapter 4 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.108 (Continued) From Eq. (2): 0.92857(2.80) 2.600 kNADT 2.60 kNADT 0.8 0.80: (2.6 kN) (2.8 kN) 0 02.6

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978-0073398242 Chapter 4 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.113 (Continued) 0.90 0.88182(19.6203 N) 0; 19.2240 NxxAA j: 0.90 44.145 0.180(19.6203 N) 0; 45.123 NyyAA i:

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978-0073398242 Chapter 4 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.118 (Continued) 0: 0CEFABTW Coefficient of i: 270 (621.31) 0855xA 196.2 NxA Coefficient of j: 675113.186 (621.31) 981

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978-0073398242 Chapter 4 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.124 Solve Problem 4.123, assuming that the 1.8- kN load is applied at C. PROBLEM 4.123 The rigid

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978-0073398242 Chapter 4 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.129 (Continued) 0: ( ) ( ) 0xxCFBExDGxFATTT 12 24600 N 975 N 625 N 013 25xA 2100

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978-0073398242 Chapter 4 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.134 (Continued) //(0.5 m) ; (1 m) ; (268 N)BA CAririPj To eliminate the reactions at A and

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978-0073398242 Chapter 4 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.9 Three loads are applied as shown to a light beam supported by cables attached

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978-0073398242 Chapter 4 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.142 A 3200-lb forklift truck is used to lift a 1700-lb crate. Determine the reaction

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978-0073398242 Chapter 4 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.152 The rectangular plate shown weighs 75 lb and is held in the position shown

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978-0073398242 Chapter 4 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.19 The bracket BCD is hinged at C and attached to a control cable at B. For

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978-0073398242 Chapter 4 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.27 Determine the reactions at A and B when (a) 0, (b) 90, (c)

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978-0073398242 Chapter 4 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.35 Bar AC supports two 400-N loads as shown. Rollers at A and C rest against

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978-0073398242 Chapter 4 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.43 (Continued) (b) 0: (3600 lb)(12 ft) (1200 lb)(6.5 ft) 0EEMM 51,000 lb ftEM 00xxFE 0: 3600

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978-0073398242 Chapter 4 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.53 A slender rod AB, of weight W, is attached to blocks A and B, which

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978-0073398242 Chapter 4 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.60 The bracket ABC can be supported in the eight different ways shown. All connections consist of

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978-0073398242 Chapter 4 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 4.68 (Continued) Force Triangle Law of sines: 150 lbsin 29.745 sin116.565 sin33.690CD 270.42 lb,167.704 lbCD 270 lbC 56.3 ;

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978-0073398242 Chapter 5 Solution Manual Part 1

CHAPTER 5 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.1 Locate the centroid of the plane area shown.

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978-0073398242 Chapter 5 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.75 Determine (a) the distance a so that the reaction at support B is minimum, (b) the

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978-0073398242 Chapter 5 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.83 The base of a dam for a lake is designed to resist up to

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978-0073398242 Chapter 5 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.92 (Continued) Then with 0yB (as explained above), we have 222184 10: (0.4) (0.25 ) 03 3 15

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978-0073398242 Chapter 5 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.98 (Continued) (b) ?when 0.4hYaa Substituting into Eq. (1) 23(0.4)4 48hhaaaa or 233.20.80hhaa Then 23.2 ( 3.2)

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978-0073398242 Chapter 5 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.106 Locate the center of gravity of the sheet-metal form shown. SOLUTION First assume

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978-0073398242 Chapter 5 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.113 (Continued) 2,mmA ,mmx ,mmy 3,mmxA 3,mmyA 1 (74)(60) 4440 0 43 0 190,920 2 565.49 2.1803 2.1803

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978-0073398242 Chapter 5 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.122 Determine by direct integration the values of x for the two volumes obtained by passing a

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978-0073398242 Chapter 5 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.128* Locate the centroid of the volume generated by revolving the portion of the sine

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978-0073398242 Chapter 5 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.134* Locate the centroid of the section shown, which was cut from an elliptical cylinder by

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978-0073398242 Chapter 5 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.140 Determine by direct integration the centroid of the area shown. Express your answer in

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978-0073398242 Chapter 5 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.9 Locate the centroid of the plane area shown. SOLUTION Area 1: Square 75

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978-0073398242 Chapter 5 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.18 Determine the x coordinate of the centroid of the trapezoid shown in terms of h1,

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978-0073398242 Chapter 5 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.27 A thin, homogeneous wire is bent to form the perimeter of the figure indicated. Locate

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978-0073398242 Chapter 5 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.35 Determine by direct integration the centroid of the area shown. Express your answer in terms of a

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978-0073398242 Chapter 5 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.42 Determine by direct integration the centroid of the area shown . SOLUTION We have

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978-0073398242 Chapter 5 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.48* Determine by direct integration the centroid of the area shown. SOLUTION We have 22cos

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978-0073398242 Chapter 5 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.57 Verify that the expressions for the volumes of the first four shapes in Fig. 5.21

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978-0073398242 Chapter 5 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 5.66 For the beam and loading shown, determine (a) the magnitude and location of the resultant

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978-0073398242 Chapter 6 Solution Manual Part 1

CHAPTER 6 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.1 Using the method of joints, determine the force in each member of

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978-0073398242 Chapter 6 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.55 A monosloped roof truss is loaded as shown. Determine the force in members CE, DE, and DF.

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978-0073398242 Chapter 6 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.65 The diagonal members in the center panels of the power transmission line tower shown are very slender and

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978-0073398242 Chapter 6 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.71 Classify each of the structures shown as completely, partially, or improperly constrained; if completely constrained, further classify as

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978-0073398242 Chapter 6 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.78 Determine the components of all forces acting on member ABCD of the assembly shown. SOLUTION Free body:

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978-0073398242 Chapter 6 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.85 (Continued) From Eq. (1): 750 N 0150 N 750 N 0yyyAEE 600 N 600 NyyEE Thus, reactions are

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978-0073398242 Chapter 6 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.91 Knowing that each pulley has a radius of 250 mm, determine the components of the reactions at D

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978-0073398242 Chapter 6 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.98 Solve Problem 6.97 assuming that the 75-kN load has been removed. PROBLEM 6.97 The cab and motor units of

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978-0073398242 Chapter 6 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.104 Solve Problem 6.103 assuming that the 360-lb load has been removed. PROBLEM 6.103 For the frame and loading

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978-0073398242 Chapter 6 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.111 Members ABC and CDE are pin-connected at C and supported by four links. For the loading shown, determine

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978-0073398242 Chapter 6 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.118 (Continued) Member AFB: 0: 0 y FFABP 80 33 EE FP 3FP E (3) 0: ( ) (3 ) 0 A MFaBa 8 (3)() (3)0 3 E PEa a 380; 5 P PEE E 5 P E

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978-0073398242 Chapter 6 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.5 (Continued) Joint C: 10: 10 kips 05yCAFF 22.4 kipsCAF 22.4 kipsCAFT 20: (22.4 kips) 40 kips 05xCBFF 60.0

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978-0073398242 Chapter 6 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.124 A 100-lb force directed vertically downward is applied to the toggle vise at C. Knowing that link BD is 6 in. long and that a = 8 in., determine the horizontal force exerted on block E.

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978-0073398242 Chapter 6 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.133 The Whitworth mechanism shown is used to produce a quick-return motion of Point D. The block at

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978-0073398242 Chapter 6 Solution Manual Part 22

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.141 A 39-ft length of railroad rail of weight 44 lb/ft is lifted by the tongs shown. Determine

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978-0073398242 Chapter 6 Solution Manual Part 23

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.151 Since the brace shown must remain in position even when the magnitude of P is very small,

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978-0073398242 Chapter 6 Solution Manual Part 24

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.159 The gears D and G are rigidly attached to shafts that are held by frictionless bearings. If r D 90

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978-0073398242 Chapter 6 Solution Manual Part 25

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.164 Using the method of joints, determine the force in each member of the truss shown. State whether

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978-0073398242 Chapter 6 Solution Manual Part 26

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.171 For the frame and loading shown, determine the components of the forces acting on member CFE at C

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978-0073398242 Chapter 6 Solution Manual Part 27

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.F4 Knowing that the pulley has a radius of 0.5 m, draw the free-body diagram(s) needed to determine the

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978-0073398242 Chapter 6 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.10 (Continued) Free body: Joint B: 110: 7.07 022yBDFF 7.07 kNBDFT 110: 5 (7.07) 7.07 022xBAFF 5.00 kNBAFC By symmetry

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978-0073398242 Chapter 6 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.16 Solve Problem 6.15 assuming that the load applied at E has been removed. PROBLEM 6.15 Determine the force

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978-0073398242 Chapter 6 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.21 Determine the force in each of the members located to the left of FG for the scissors

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978-0073398242 Chapter 6 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.26 Solve Problem 6.24 assuming that the cables hanging from the right side of the tower have fallen to

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978-0073398242 Chapter 6 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.33 For the given loading, determine the zero-force members in each of the two trusses shown. SOLUTION

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978-0073398242 Chapter 6 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.39* The truss shown consists of nine members and is supported by a ball and socket at B, a

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978-0073398242 Chapter 6 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 6.45 Determine the force in members BD and CD of the truss shown. SOLUTION Reactions from Free

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978-0073398242 Chapter 7 Solution Manual Part 1

CHAPTER 7 PROBLEM 7.1 Determine the internal forces (axial force, shearing force, and bending moment) at Point J of the structure indicated. Frame and loading of Problem 6.76. SOLUTION From Problem 6.76: 720 lbx=C 140 lby=C FBD of JC: 0: 720 lb 0xFF= = 720 lbF=

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978-0073398242 Chapter 7 Solution Manual Part 10

PROBLEM 7.59 (Continued) We set 2 2 221 11 111| | | |: 2 82 282ACM M wa wL wLa wa wL wLa= = += 220.25 0a La L+ = 2222max11( ) ( 2 1)221(0.207 ) 0.02142= += = =a L LL LM w L wL 0.207aL= Copyright McGraw-Hill

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978-0073398242 Chapter 7 Solution Manual Part 11

PROBLEM 7.68 Using the method of Section 7.6, solve Problem 7.34. PROBLEM 7.34 For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. SOLUTION Free body: Entire beam 0: 0yF BP = =

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978-0073398242 Chapter 7 Solution Manual Part 12

PROBLEM 7.78 For the beam and loading shown, (a) draw the shear and bending- moment diagrams, (b) determine the magnitude and location of the maximum absolute value of the bending moment. SOLUTION 0: (8.75)(1.75) (2.5) 0AMB= = 6.125 kN=B 0:yF= 2.625 kN=A Similar Ds }Add numeratorsand denominators1.05 m2.5 2.52.625

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978-0073398242 Chapter 7 Solution Manual Part 13

PROBLEM 7.87 For the beam and loading shown, (a) write the equations of the shear and bending-moment curves, (b) determine the magnitude and location of the maximum bending moment. SOLUTION (a) We check that beam is in equilibrium ( )001 11 2 02 3 22 3LwL wL L

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978-0073398242 Chapter 7 Solution Manual Part 14

PROBLEM 7.92* (Continued) (b) Load diagram Shear diagram At A: 2.26 kipsAVA= = + To determine Point G where 0,V= we write GCVV w= 0 (1.22 kips) (0.25 kip/ft)= 4.88 ft= We next compute all areas max| | 3.14 kips at VB= Bending-moment diagram At A: 0AM= Largest value

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978-0073398242 Chapter 7 Solution Manual Part 15

PROBLEM 7.100 Determine (a) the distance dC for which portion BC of the cable is horizontal, (b) the corresponding components of the reaction at E. SOLUTION Free body: Portion CDE 0: 2(2 kips) 0 4 kipsyy yFE E= = = 0: (4 kips)(15 ft) (2 kips)(6 ft) 0C

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978-0073398242 Chapter 7 Solution Manual Part 16

PROBLEM 7.108 The total mass of cable ACB is 20 kg. Assuming that the mass of the cable is distributed uniformly along the horizontal, determine (a) the sag h, (b) the slope of the cable at A. SOLUTION Free body: Entire frame 0: (4.5 m) (196.2 N)(4 m)

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978-0073398242 Chapter 7 Solution Manual Part 17

PROBLEM 7.116 Cable ACB supports a load uniformly distributed along the horizontal as shown. The lowest Point C is located 9 m to the right of A. Determine (a) the vertical distance a, (b) the length of the cable, (c) the components of the reaction at A. SOLUTION

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978-0073398242 Chapter 7 Solution Manual Part 18

PROBLEM 7.125* Using the property indicated in Problem 7.124, determine the curve assumed by a cable of span L and sag h carrying a distributed load w=w0 cos ( x/L), where x is measured from mid-span. Also determine the maximum and minimum values of the tension in the cable. PROBLEM 7.124

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978-0073398242 Chapter 7 Solution Manual Part 19

PROBLEM 7.135 A counterweight D is attached to a cable that passes over a small pulley at A and is attached to a support at B. Knowing that L= 45 ft and h= 15 ft, determine (a) the length of the cable from A to B, (b) the weight

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978-0073398242 Chapter 7 Solution Manual Part 2

PROBLEM 7.8 (Continued) (a) Maximum axial force 0: (30 lb)cos (22.5 lb)sin 0VFF = + = Free body: Portion bow CK 30cos 22.5sinF= F is largest at ( 0)C= 30.0 lb atmFC= (b) Maximum shearing force 0: (30 lb)sin (22.5 lb)cos 0VFV = + + = 30sin 22.5cosV= +

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978-0073398242 Chapter 7 Solution Manual Part 20

PROBLEM 7.145 To the left of Point B the long cable ABDE rests on the rough horizontal surface shown. Knowing that the mass per unit length of the cable is 2 kg/m, determine the force F when a= 3.6 m. SOLUTION 3.6 m 4 mcoshcosh3.6 m4 m cosh

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978-0073398242 Chapter 7 Solution Manual Part 21

PROBLEM 7.152* Determine the sag-to-span ratio for which the maximum tension in the cable is equal to the total weight of the entire cable AB. SOLUTION ( )max1222cosh 2 sinh221tanh 22 1tanh 0.54930622cosh 1 0.15470120.5(0.154701) 0.140810.5493062BBBBBBBhcBLcT wy wsysLLccccLcLch yc Lcc chL= ===== == = == = = 0.1408BhL=

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978-0073398242 Chapter 7 Solution Manual Part 22

PROBLEM 7.161 For the beam shown, draw the shear and bending-moment diagrams, and determine the magnitude and location of the maximum absolute value of the bending moment, knowing that (a) M = 0, (b) M = 24 kip ft. SOLUTION Free body: Beam 0: 0xxFA= = 0: (16

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978-0073398242 Chapter 7 Solution Manual Part 3

PROBLEM 7.16 Knowing that the radius of each pulley is 200 mm and neglecting friction, determine the internal forces at Point K of the frame shown. SOLUTION Free body: frame and pulleys 0: (1.8 m) (360 N)(0.2 m)(360 N)(2.6 m) 0AxMB= = 560 NxB= 560 Nx=B 0: 560

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978-0073398242 Chapter 7 Solution Manual Part 4

PROBLEM 7.21 (Continued) FBD AJ: 4 100: 053xPFV= = 83P=V 3 100: 053yPFF= = 2P=F 83aP=M (c) FBD Rod: 430: 2 2 055DAAM aP a a = = 514PA= 450: 05 14xPFV= = 27P=V 350: 05 14yPFF= = 314P=F 450: 0PM Ma= = 2aP=M FBD AJ: 4 100:

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978-0073398242 Chapter 7 Solution Manual Part 5

PROBLEM 7.30 For the beam and loading shown, (a) draw the shear and bending- moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. SOLUTION 20011 122 2xxwx w x wLL= = By similar Ds 2010: 02yxF wVL = = 2012xVwL= 2010: 023yxxF wML=

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978-0073398242 Chapter 7 Solution Manual Part 6

PROBLEM 7.37 (Continued) Just to the right of E: 40: 4.5 0yFV= = 44.5 kipsV= + 440: (4.5)2 0MM= = 49 kip ftM= At B: 0BBVM= = (b) max| | 11.50 kipsV= | | 14.00 kip ftM= Just to the right of E: 40: 4.5 0yFV= =

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978-0073398242 Chapter 7 Solution Manual Part 7

PROBLEM 7.43 Assuming the upward reaction of the ground on beam AB to be uniformly distributed and knowing that P =wa, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. SOLUTION Free body: Entire beam 0: (4 )

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978-0073398242 Chapter 7 Solution Manual Part 8

PROBLEM 7.48 (Continued) For 3m:x= 0,V= 9.00 kN mM= For 4.5 m:x= 6 kN,DV= + 4.50 kN mDM= At B: 0BBVM= = (b) max| | 6.00 kNV= Bending-moment diagram consists of three distinct arcs of parabola. max| | 9.00 kN mM= Since entire diagram is below the x axis:

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978-0073398242 Chapter 7 Solution Manual Part 9

PROBLEM 7.54 Solve Problem 7.53 when 60 . = PROBLEM 7.53 Two small channel sections DF and EH have been welded to the uniform beam AB of weight W 3 kN= to form the rigid structural member shown. This member is being lifted by two cables attached at D and

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978-0073398242 Chapter 8 Solution Manual Part 1

CHAPTER 8 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.1 Determine whether the block shown is in equilibrium and find the magnitude and direction

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978-0073398242 Chapter 8 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.68 Derive the following formulas relating the load W and the force P exerted on the handle of the jack

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978-0073398242 Chapter 8 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.75 The ends of two fixed rods A and B are each made in the form of a single-threaded

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978-0073398242 Chapter 8 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.85 A scooter is to be designed to roll down a 2 percent slope at a constant speed. Assuming that the coefficient of kinetic friction between the 25-mm-diameter axles and the bearings is 0.10, determine the required diameter

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978-0073398242 Chapter 8 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.95* Assuming that bearings wear out as indicated in Problem 8.94, show that the magnitude M of the couple required to overcome the frictional resistance of a worn-out collar bearing is 1 12 2 () k MPRR where P magnitude of the total

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978-0073398242 Chapter 8 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.104 A hawser is wrapped two full turns around a bollard. By exerting an 80-lb force on the free end of the hawser, a dockworker can resist a force of 5000 lb on the other end of

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978-0073398242 Chapter 8 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.114 Solve Problem 8.113 assuming that the belt is looped around the pulleys in a figure eight. PROBLEM 8.113

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978-0073398242 Chapter 8 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.121 A cable is placed around three parallel pipes. Two of the pipes are fixed and do not rotate;

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978-0073398242 Chapter 8 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.127 (Continued) Eq. (3): 17.5056ln4.9742 rad 21.32254.9742s 0.2659 Eq. (4): sin 757.5056 cos 750.969537.2468s 0.1333 We choose the larger

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978-0073398242 Chapter 8 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.136 (Continued) 0: (32 in.) (12 in.) (24 in.) 0ABMPWN 8 3 6 0 0.250.3PPW P W tip( 0.25

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978-0073398242 Chapter 8 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.F1 Knowing that the coefficient of friction between the 25-kg block and the incline is s = 0.25, draw

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978-0073398242 Chapter 8 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.8 Considering only values of less than 90, determine the smallest value of required to start the block

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978-0073398242 Chapter 8 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.15 A uniform crate with a massof 30 kg must be moved up along the 15 incline without

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978-0073398242 Chapter 8 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.24 End A of a slender, uniform rod of length L and weight W bears on a surface

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978-0073398242 Chapter 8 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.33 A pipe of diameter 60 mm is gripped by the stillson wrench shown. Portions AB and DE of

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978-0073398242 Chapter 8 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.39 Two rods are connected by a collar at B. A couple M A with a magnitude of 15 Nm

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978-0073398242 Chapter 8 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.46 Two slender rods of negligible weight are pin-connected at C and attached to blocks A and B, each

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978-0073398242 Chapter 8 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.52 The elevation of the end of the steel beam supported by a concrete floor is adjusted by means

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978-0073398242 Chapter 8 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 8.60 The spring of the door latch has a constant of 1.8 lb/in. and in the position shown exerts

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978-0073398242 Chapter 9 Solution Manual Part 1

CHAPTER 9 Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.1 Determine by direct integration the moment of inertia of the shaded area with respect

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978-0073398242 Chapter 9 Solution Manual Part 10

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.66* (Continued) :yPMxP xdP Now (sin) sinxdP x y dA xydA (sin)xyI (Equation 9.12) Then (sin)PxyxPI or (sin)sin (

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978-0073398242 Chapter 9 Solution Manual Part 11

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.75 Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal

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978-0073398242 Chapter 9 Solution Manual Part 12

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.82 Determine the moments of inertia and the product of inertia of the area of Problem 9.75 with respect

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978-0073398242 Chapter 9 Solution Manual Part 13

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.91 Using Mohrs circle, determine for the quarter ellipse of Problem 9.67 the moments of inertia and the

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978-0073398242 Chapter 9 Solution Manual Part 14

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.96 Using Mohrs circle, determine the moments of inertia and the product of inertia of the L152 102 12.7-mm

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978-0073398242 Chapter 9 Solution Manual Part 15

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.101 Using Mohrs circle, determine for the area indicated the orientation of the principal centroidal axes and the corresponding

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978-0073398242 Chapter 9 Solution Manual Part 16

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.106* (Continued) (b) We have max,min ave 750 709.46IIR or 4max1459 inI and 4min40.5 inI From the Mohrs circle

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978-0073398242 Chapter 9 Solution Manual Part 17

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.115 A piece of thin, uniform sheet metal is cut to form the machine component shown. Denoting the

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978-0073398242 Chapter 9 Solution Manual Part 18

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.122 Determine by direct integration the mass moment of inertia with respect to the x axis of the

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978-0073398242 Chapter 9 Solution Manual Part 19

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.127 (Continued) and 22 2222 262 2 2113 31(479.96) (183.41)848 8211 1ft(769.80) 1 10 lb s /ft in82 144

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978-0073398242 Chapter 9 Solution Manual Part 2

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.10 Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

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978-0073398242 Chapter 9 Solution Manual Part 20

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.134 Determine the mass moment of inertia of the 0.9-lb machine component shown with respect to the axis AA.

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978-0073398242 Chapter 9 Solution Manual Part 21

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.138 A section of sheet steel 0.03 in. thick is cut and bent into the sheet metal machine

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978-0073398242 Chapter 9 Solution Manual Part 22

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.142 Determine the mass moments of inertia and the radii of gyration of the steel machine element

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978-0073398242 Chapter 9 Solution Manual Part 23

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.146 (Continued) 24 3512345232 2() (), () ()() () () () ()1 ft[(8.5857 10 lb s /ft)(16 in.) ]

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978-0073398242 Chapter 9 Solution Manual Part 24

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.152 (Continued) and then 2,lb s /ftm ,ftx ,fty,ftz 2,lb ft smx y 2,lb ft smy z 2,lb ft

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978-0073398242 Chapter 9 Solution Manual Part 25

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.158 Thin aluminum wire of uniform diameter is used to form the figure shown. Denoting by m the mass

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978-0073398242 Chapter 9 Solution Manual Part 26

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.163 The homogeneous circular cone shown has a mass m. Determine the mass moment of inertia of the cone

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978-0073398242 Chapter 9 Solution Manual Part 27

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.169 Determine the mass moment of inertia of the machine component of Problems 9.136 and 9.155 with respect to

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978-0073398242 Chapter 9 Solution Manual Part 28

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.175 For the right circular cone of Sample Problem 9.11, determine the value of the ratio a/h for which

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978-0073398242 Chapter 9 Solution Manual Part 29

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.180 For the component described in Problem 9.165, determine (a) the principal mass moments of inertia at the origin,

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978-0073398242 Chapter 9 Solution Manual Part 3

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.19 (Continued) Find: and xxIk We have 3321333311 12(2) sin33 3 28(2)sin32xhdI y y dx x a h x

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978-0073398242 Chapter 9 Solution Manual Part 30

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.182* (Continued) Adding and solving for 3()z 33( ) 0.707885( )zx and then 333( ) [ 2.46156 1.5( 0.707885)](

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978-0073398242 Chapter 9 Solution Manual Part 31

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.187 Determine the moment of inertia and the radius of gyration of the shaded area shown with respect to

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978-0073398242 Chapter 9 Solution Manual Part 32

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.194 A thin plate of mass m was cut in the shape of a parallelogram as shown. Determine the

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978-0073398242 Chapter 9 Solution Manual Part 4

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.24 (Continued) Now 442 3 16 3 4 64PxyJII r 4431.15545316rr 4or 1.155PJr and 4221.155452.5274PPJrkAr or 0.676Pkr Now 442

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978-0073398242 Chapter 9 Solution Manual Part 5

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.31 Determine the moment of inertia and the radius of gyration of the shaded area with respect to

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978-0073398242 Chapter 9 Solution Manual Part 6

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.40 Knowing that the shaded area is equal to 6000 mm2 and that its moment of inertia with respect

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978-0073398242 Chapter 9 Solution Manual Part 7

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.46 Determine the polar moment of inertia of the area shown with respect to (a) Point O, (b)

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978-0073398242 Chapter 9 Solution Manual Part 8

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.53 A channel and a plate are welded together as shown to form a section that is symmetrical with

Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

Homework Help

978-0073398242 Chapter 9 Solution Manual Part 9

Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. Copyright McGraw-Hill Education. Permission required for reproduction or display. PROBLEM 9.60* The panel shown forms the end of a trough that is filled with water to the line

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Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

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Students

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Vector Mechanics for Engineers: Statics and Dynamics 11th Edition

Trusted by Thousands ofStudents

Albert

Anna

Collins

Jill

Drake

Karen

Hill

Rachel

Kristopher

Resources

Company

Legal

Trusted by Thousands of
Students