3 тm2 m4 mA pulley of mass 3m and radius r is mounted on frictionless bearings and supported by a stand of mass 4mat rest on a table as shown above. The moment of inertia of this pulley about its axis is 1.5mr.Passing over the pulley is a massless cord supporting a block of mass m on the left and a block of mass 2m onthe right. The cord does not slip on the pulley, so after the block-pulley system is released from rest, the pulleybegins to rotate.a. On the diagrams below, draw and label all the forces acting on each block.m2 mb. Use the symbols identified in part a. to write each of the following.i The equations of translational motion (Newton's second law) for each of the two blocksii. The analogous equation for the rotational motion of the pulleyc. Solve the equations in part b. for the acceleration of the two blocks.d. Determine the tension in the segment of the cord attached to the block of mass m.Determine the normal force exerted on the apparatus by the table while the blocks are in motion.e.Enter your answer for part (e) ONLY ifm =1.60 kg. Give your answer in Newton's toTHREE sig figs (no decimals in this problem).

Answered: 3 m 2 m m 4 m y of mass 3m and radius r…

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3 m 2 m m 4 m y of mass 3m and radius r is mounted on frictionless bearings and supported by a stan

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 38P

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

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3 т
m
2 m
4 m
A pulley of mass 3m and radius r is mounted on frictionless bearings and supported by a stand of mass 4m
at rest on a table as shown above. The moment of inertia of this pulley about its axis is 1.5mr.
Passing over the pulley is a massless cord supporting a block of mass m on the left and a block of mass 2m on
the right. The cord does not slip on the pulley, so after the block-pulley system is released from rest, the pulley
begins to rotate.
a. On the diagrams below, draw and label all the forces acting on each block.
m
2 m
b. Use the symbols identified in part a. to write each of the following.
i The equations of translational motion (Newton's second law) for each of the two blocks
ii. The analogous equation for the rotational motion of the pulley
c. Solve the equations in part b. for the acceleration of the two blocks.
d. Determine the tension in the segment of the cord attached to the block of mass m.
Determine the normal force exerted on the apparatus by the table while the blocks are in motion.
e.
Enter your answer for part (e) ONLY ifm =
1.60 kg. Give your answer in Newton's to
THREE sig figs (no decimals in this problem).

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