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PhysicsQ&A LibraryA 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?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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Step 1

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

Step 2

For cylinder:

The toque acting on the cylinder is:

Step 3

For the cylinder, the formula for is:

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