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Rotational Inertia of a Modified Disk
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A uniform disk of mass M and radius R has a small hole of radius R/4 drilled at a distance of R/2 from the center. What is the moment of inertia of this modified disk about an axis perpendicular to the disk through its center?

A

MR²/2 - M(R/4)⁴/R²

B

MR²/2 - M(R/4)²/R²

C

$$\frac{1}{2}MR^2 - \frac{9}{512}MR^2$$

D

MR²/2 - M(R/4)²(R/2)²/R²

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