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Energy Conversion in a Rotating System

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A mass m is attached to a string that is wrapped around a uniform cylinder of mass M and radius R. The mass is released from rest and falls a vertical distance h, causing the cylinder to rotate. What fraction of the gravitational potential energy lost by the mass is converted into the rotational kinetic energy of the cylinder?

A

M/(m+M)

B

m/(2m+M)

C

m/(m+M)

D

M/(2m+M)

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