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Unwinding Cylinder (Moment of Inertia; Angular Rotation)

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A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling. The cylinder's vertical position as a function of time is y(t).
At time t=0 the cylinder is released from rest at a height h above the ground.

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The expert examines unwinding cylinder for the moment of inertia for angular rotation.

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Unwinding Cylinder
A cylinder with moment of inertia about its center of mass, mass , and radius has a string wrapped around it which is tied to the ceiling .
The cylinder's vertical position as a function of time is .
At time the cylinder is released from rest at a ...

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