My First Brilliant Problem!

Classical Mechanics Level 4

A uniform disk of radius \(R\) and mass \(M\) has a hole of diameter \(R\) drilled out from it. The hole that is drilled out spans from the center of the disk to the edge of the disk.

\(R = 10 \text{ meters}, M = 5 \text{ kilograms} \)

The axis of rotation is through the center of the disk. What is the moment of inertia of the disk with the hole drilled out? Answer in \( \text{kg m}^2 \).

Inspired by an F=ma problem.

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