e plate B has the mass mg. Neglect the mass of the roj se the coefficients of kinetic friction indicated in the figu Draw the free-body diagrams of the block A and the instant shown. Write the equations of motion, ΣF = mả, for the block not solve the equations!)

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Problem 7.79P: The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a)...
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P1. The system shown is released from rest. The block A has the mass ma
and the plate B has the mass mp. Neglect the mass of the rope and pulley,
and use the coefficients of kinetic friction indicated in the figure.
a) Draw the free-body diagrams of the block A and the plate B at the
instant shown.
b) Write the equations of motion, ΣẺ =
not solve the equations!)
må, for the block A. (Note: Do
c) Write the equations of motion, ΣỄ = mà, for the plate B. (Note: Do
not solve the equations!)
0.5 m
d) By solving the equations obtained in parts (b) and (c), determine the
PAB 0.2
A
B
HBC 0.1
30°
accelerations of the block A and the plate B and the tension in the rope.
e) Determine the time needed for the block A to slide 0.5 m on the plate B. (Hint: Use the relative position
equation SB/A = SB - SA in finding the displacements of the block A and the plate B!)
Transcribed Image Text:P1. The system shown is released from rest. The block A has the mass ma and the plate B has the mass mp. Neglect the mass of the rope and pulley, and use the coefficients of kinetic friction indicated in the figure. a) Draw the free-body diagrams of the block A and the plate B at the instant shown. b) Write the equations of motion, ΣẺ = not solve the equations!) må, for the block A. (Note: Do c) Write the equations of motion, ΣỄ = mà, for the plate B. (Note: Do not solve the equations!) 0.5 m d) By solving the equations obtained in parts (b) and (c), determine the PAB 0.2 A B HBC 0.1 30° accelerations of the block A and the plate B and the tension in the rope. e) Determine the time needed for the block A to slide 0.5 m on the plate B. (Hint: Use the relative position equation SB/A = SB - SA in finding the displacements of the block A and the plate B!)
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