978-0077687342 Chapter 12 Part 12

subject Type Homework Help
subject Pages 9
subject Words 673
subject Authors Brian Self, E. Johnston, Ferdinand Beer, Phillip Cornwell

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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 massless and frictionless. Assuming B slides on A
draw the FBD and KD for each of the three masses A, B and C.
SOLUTION
Answer:
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PROBLEM 12.F4
Blocks A and B have masses mA and mB respectively. Neglecting friction
between all surfaces, draw the FBD and KD for each mass.
SOLUTION
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PROBLEM 12.F5
Blocks A and B have masses mA and mB respectively.
Neglecting friction between all surfaces, draw the FBD
and KD for the two systems shown.
SOLUTION
System 1
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PROBLEM 12.F6
A pilot of mass m flies a jet in a half vertical loop of radius R so that
the speed of the jet, v, remains constant. Draw a FBD and KD of the
pilot at Points A, B and C.
SOLUTION
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PROBLEM 12.F7
Wires AC and BC are attached to a sphere which revolves at a constant speed v in
the horizontal circle of radius r as shown. Draw a FBD and KD of C.
SOLUTION
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PROBLEM 12.F8
A collar of mass m is attached to a spring and slides without
friction along a circular rod in a vertical plane. The spring has
an undeformed length of 5 in. and a constant k. Knowing that
the collar has a speed v at Point C, draw the FBD and KD of
the collar at this point.
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PROBLEM 12.F9
Four pins slide in four separate slots cut in a horizontal circular plate as
shown. When the plate is at rest, each pin has a velocity directed as shown
and of the same constant magnitude u. Each pin has a mass m and
maintains the same velocity relative to the plate when the plate rotates
about O with a constant counterclockwise angular velocity
ω
. Draw the
FBDs and KDs to determine the forces on pins P1 and P2.
SOLUTION
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PROBLEM 12.F10
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. If the mass of the men and lift connected to the boom at Point B is m,
draw the FBD and KD that could be used to determine the horizontal and
vertical forces at B.
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PROBLEM 12.F11
Disk A rotates in a horizontal plane about a vertical axis at the constant
rate
0
.
θ
Slider B has a mass m and moves in a frictionless slot cut in
the disk. The slider is attached to a spring of constant k, which is
undeformed when r = 0. Knowing that the slider is released with no
radial velocity in the position r = r0, draw a FBD and KD at an arbitrary
distance r from O.
SOLUTION
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PROBLEM 12.F12
Pin B has a mass m and slides along the slot in the rotating arm
OC and along the slot DE which is cut in a fixed horizontal
plate. Neglecting friction and knowing that rod OC rotates at
the constant rate
0
,
θ
draw a FBD and KD that can be used to
determine the forces P and Q exerted on pin B by rod OC and
the wall of slot DE, respectively.
SOLUTION

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