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A block hangs from a string that runs over a pulley and is attached to a...

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Physics

A block hangs from a string that runs over a pulley and isattached to a rolling cart. The cart, the block, and the pulleyeach have the same mass (M) . The cart an pulley roll withoutfriction, and the pulley is a disk with moment of inertia:

Icm=12MR2

The hanging block is released from rest and allowed to evolvefreely under the influence of gravity.

Find the speed of the hanging mass, v, after the block hasfallen over a distance equal to 5R. Give your answer a a functionof M, R, and the gravitational acceleration g, as needed.

Answer & Explanation Solved by verified expert
4.3 Ratings (641 Votes)
Consider pulleycart and earth as a systemSo the forces acting on the system include1gravitational force which is an internal conservative forcefor the system2Tension due to string But total work done bytension is 0 if string is inextensible Sohere total work done bystring03normal reaction on pulleyWork doneFs coswhere F and s are magnitudes of force and displacement vectorrespectively and is the angle between force and displacement vectorsIn case of normal reaction Normal force is perpendicular tosurface while    See Answer
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