Archives: Solution Manual

PROBLEM 13.72 (Continued) Forces at B. 0 2 2 ( ) (10) 6.6667 lb. 3 5 sin 13 5 5 in. ft 12 (0.031056)(205.72) 5/12 15.3332 lb sB B n Fk mv ma α ρ ρ  = −= = […]

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 […]

PROBLEM 13.46 A chair–lift is designed to transport 1000 skiers per hour from the base A to the summit B. The average mass of a skier is 70 kg and the average speed of the lift is 75 m/min. Determine […]

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 […]

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 […]

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 […]

PROBLEM 12.F3 Objects A, B, and C have masses mA, mB, and mC respectively. The coefficient of kinetic friction between A and B is µ k, and the friction between A and the ground is negligible and the pulleys are […]

PROBLEM 12.133* (Continued) and and at  Note: implies that the slider remains at its initial radial position. With Eq. (2) implies  (b) Substituting the given values into Eq. (1) Now Then so that At Now At 0 dr […]

PROBLEM 12.121 Show that the angular momentum per unit mass h of a satellite describing an elliptic orbit of semimajor axis a and eccentricity about a planet of mass M can be expressed as SOLUTION By Eq. At A, At […]

PROBLEM 12.107 (Continued) (b) From Part (a), we have 2 sun 11 2 () AA AB GM r v rr  = +   Then, for any other elliptic orbit about the sun, we have ( ) 211 2 […]

(b) Acceleration of B relative to the rod. At ( ) 96 0, ( ) 8 ft/s 96 in./s, 9.6 rad/s 10 A A A v tv r θ θ θ = = = = = =  2 () […]

PROBLEM 12.75 (Continued) Since the particle moves under a central force, 0. θ =a Magnitude of acceleration. 2 22 0 2 0 r vr aaa r θ = += Tangential component of acceleration. 2 0 00 2 00 0 sin […]

PROBLEM 12.62 (Continued) We must determine the values of θ which maximize the above expression. Thus ( ) ( ) 2 2 2 2 sin sin (cos )( cos ) cos 0 sin sin B B B g v g […]

PROBLEM 12.50 (Continued) At B: :B n nB F ma N m ρ Σ= = or 22 22,555 m /s 54 kg 1200 m B N= or 1014.98 N B =N : || tt B t F ma W P […]

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 angle θ that the cord forms with pole BC, (b) the tension in the cord. SOLUTION First […]

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 the drag D exerted on the plane has a magnitude 2 2.25 ,Dv= where v is expressed […]

PROBLEM 12.14 (Continued) Block B 350 1 : 350lb 2 32.2 2 y BB A F ma T a  Σ= − =   (2) (a) Multiply Eq. (1) by 2 and add Eq. (2) in order to eliminate […]

CHAPTER 12 PROBLEM 12.1 Astronauts who landed on the moon during the Apollo 15, 16 and 17 missions brought back a large collection of rocks to the earth. Knowing the rocks weighed 139 lb when they were on the moon, […]

PROBLEM 11.192 The end Point B of a boom is originally 5 m from fixed Point A when the driver starts to retract the boom with a constant radial acceleration of 2 1.0 m/sr  and lower it with a […]

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 s.t   SOLUTION Given:   2 (cos) 1 (sin) A tt At Bttri jk ft, […]

PROBLEM 11.166 The pin at B is free to slide along the circular slot DE and along the rotating rod OC. Assuming that the rod OC rotates at a constant rate  , (a) show that the acceleration of pin […]

PROBLEM 11.149 A child throws a ball from point A with an initial velocity v0 at an angle of 3 with the horizontal. Knowing that the ball hits a wall at point B, determine (a) the magnitude of the initial […]

PROBLEM 11.131 (Continued) Therefore 520 sin (40 ) sin (130 )      or sin 130 cos cos 130 sin 4(sin 40 cos cos 40 sin )       or sin 130 4 […]

PROBLEM 11.116* (Continued) (b) Angle Check the edge. Since the stream clears the edge. .  max max tan 1.875 21.466 xx   61.93   61.9     2 02 0 tan 2cos gx yy x […]

PROBLEM 11.106 At halftime of a football game souvenir balls are thrown to the spectators with a velocity v0. Determine the range of values of v0 if the balls are to land between Points B and C. SOLUTION The motion […]

PROBLEM 11.91 The motion of a vibrating particle is defined by the position vector (4sin ) (cos2 ) ,tt    rij where r is expressed in inches and t in seconds. (a) Determine the velocity and acceleration when […]

PROBLEM 11.77 An accelerometer record for the motion of a given part of a mechanism is approximated by an arc of a parabola for 0.2 s and a straight line for the next 0.2 s as shown in the figure. […]

PROBLEM 11.64 (Continued) (b) Reading from the x tcurve max 420 mx  (c) Between 10 s and 22 s 100 m 420 m (area under curve from , to 22 s) mvt t  11 1 100 420 (22 […]

PROBLEM 11.52 (Continued) Then, substituting into Eq. (2) 2 40 2 3 mm/s 0 3 B a     or 2 20 mm/s B a 2 20.0 mm/s Ba  (b) From the diagram, constant DA xx  […]

PROBLEM 11.36 A group of students launches a model rocket in the vertical direction. Based on tracking data, they determine that the altitude of the rocket was 89.6 ft at the end of the powered portion of the flight and […]

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 are expressed in m/s2 and meters, respectively. Knowing that 0.8 mb and that 1 m/sv  when […]

CHAPTER 11 PROBLEM 11.1 A snowboarder starts from rest at the top of a double black diamond hill. As he rides down the slope, GPS coordinates are used to determine his displacement as a function of time: x= 0.5t3 + […]

PROBLEM B.71* (Continued) Now substitute into Eq. (9.57): 22 2 33 3 ( ) [ 2.5795( ) ] [0.071276( ) ] 1 xx x      (i) or 3 ( ) 0.36134 x   and 3 […]

PROBLEM B.68 Given a homogeneous body of mass m and of arbitrary shape and three rectangular axes x , y , and z with origin at O , prove that the sum Ix + Iy + Iz of the mass […]

PROBLEM B.56 Determine the mass moment of inertia of the steel fixture of Problems 9.145 and 9.149 with respect to the axis through the origin that forms equal angles with the x, y, and z axes. SOLUTION From the solutions […]

PROBLEM B.45 A section of sheet steel 2 mm thick is cut and bent into the machine component shown. Knowing that the density of steel is 7850 kg/m 3 , determine the mass products of inertia I xy , I […]

PROBLEM B.34 Determine the mass moment of inertia of the steel machine element shown with respect to the yaxis. (The density of steel is 3 490 lb/ft .) SOLUTION First compute the mass of each component. We have 2 490 […]

PROBLEM B.25 A 2-mm thick piece of sheet steel is cut and bent into the machine component shown. Knowing that the density of steel is 7850 kg/m3, determine the mass moment of inertia of the component with respect to each […]

PROBLEM B.14 Determine by direct integration the mass moment of inertia and the radius of gyration with respect to the x axis of the paraboloid shown, assuming that it has a uniform density and a mass m. SOLUTION 222 :ryzkx […]

APPENDIX B PROBLEM B.1 A thin plate of mass m is cut in the shape of an equilateral triangle of side a. Determine the mass moment of inertia of the plate with respect to (a) the centroidal axes AA and […]

Chapter 15: Global Media: Communication around the World Summary and Learning Objectives Not all countries take the same approach to the relationship between the government and the press. This relationship can take a variety of forms, depending on the form […]

Chapter 14: Media Ethics: Truthfulness, Fairness, and Standards of Decency Summary and Learning Objectives Media ethics are a complex topic because they deal with an institution that must do things that ordinary people in ordinary circumstances would not do. Media […]

Chapter 13: Media Law: Free Speech and Fairness Summary and Learning Objectives The First Amendment to the U.S. Constitution says that Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the […]

Chapter 12: Public Relations: Interactions, Relationships, and the News Summary and Learning Objectives Public relations developed out of the press agentry of the late 1800s. Publicity firms used one- way communication, deceptive techniques, and bribery. By the beginning of the […]

Chapter 11: Advertising: Selling a Message Summary and Learning Objectives Advertisements are paid messages about an organization, a product, a service, or an idea that appear in the mass media. Advertising provides numerous benefits to society, including making media less […]

Chapter 10: Online Media: The Internet, Social Media, and Video Games Summary and Learning Objectives The Internet arose in the late 1960s out of efforts to share expensive computer resources provided by the military to universities across the United States. […]

Chapter 9: Television: Broadcast and Beyond Summary and Learning Objectives Television was developed in the 1920s and 1930s by independent inventor Philo T. Farnsworth and RCA engineer Vladimir Zworykin. Commercial broadcasting began in the United States in 1939, but its […]

Chapter 8: Movies: Mass Producing Entertainment Summary and Learning Objectives Ways of recording motion on film were first developed by photographers É tienne-Jules Marey and Eadweard Muybridge in the 1880s. Inventor and entrepreneur Thomas Edison applied their ideas in building […]

Chapter 7: Audio: Music and Talk Across Media Summary and Learning Objectives The ability to record sounds began in 1877 with Thomas Edison’s invention of the phonograph. Although Edison’s machine could record and play back sound, it was relatively fragile, […]

Chapter 6: Newspapers and the News: Reflection of a Democratic Society Summary and Learning Objectives The first newspapers were published in Europe in the 17th century. Numerous papers were published in the American colonies, but they faced extensive censorship from […]