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Moment of Inertia of a Punctured Disk
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A uniform circular disk of mass M and radius R has a small hole drilled at a distance R/2 from its center. If the disk rotates about an axis through this hole perpendicular to the disk, what fraction of mass must be removed from the hole so that the disk’s moment of inertia about this new axis equals the original moment of inertia about its center?

A

1/3

B

1/8

C

1/4

D

1/2

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