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Physics 1 Final - Part 2 of 4
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13. Rotational Inertia & Energy / Parallel Axis Theorem / Problem 14

A cylinder of mass M, radius R, and length L is tightly fitted with an axle that acts like a rotational axis at a distance (3/5)R from the center of the cylinder. The axle has a radius r. A thread wound on the axle is pulled with a tension T. Assuming the axle to have an insignificant moment of inertia, derive an expression for the cylinder's angular acceleration.
Diagram of a cylinder with an axle, showing tension T and distance (3/5)R from the center.

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