A primitive yo-yo has a massless string wrapped around a solid cylinder with mass M and radius R. You hold the free end of the string stationary and release the cylinder from rest. The string unwinds but does not slip or stretch as the cylinder descends and rotates. Using energy considerations, find the speed vcm of the cylinder’s center of mass after it has descended a distance h.

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A primitive yo-yo has a massless string wrapped around a solid cylinder
with mass M and radius R. You hold the free end of the
string stationary and release the cylinder from rest. The string unwinds
but does not slip or stretch as the cylinder descends
and rotates. Using
energy considerations, find the speed vcm of the cylinder’s center of
mass after it has descended a distance h.

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