Question
Asked Oct 19, 2019
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A uniform, solid cylinder of mass mc=6.35 kg and radius R=0.31 m is attached at its axle to a string. The string is wrapped around a small "ideal" pulley (negligible friction, Icm≈0) and is attached to a hanging block of mass mb=3.65 kg as indicated in the above figure. You release the objects from rest and the cylinder rolls without slipping.

What is the magnitude of the acceleration of the block?

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Expert Answer

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Step 1

Draw the free body diagram of the cylinder and the block.

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т.а т Тозim frolling mcg тьв тьа

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Step 2

For cylinder:

The toque acting on the cylinder is:

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= Ioa R = 1o rolling

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Step 3

For the cylinder, the formula for   is:

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1 2

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Science

Physics

Rotational Mechanics

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