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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 moment of inertia I_c about its center. After a small mass is removed from a point at a distance R/2 from the center, the disk is rotated about a new axis passing through that point. What fraction of the original mass M must be removed for the new moment of inertia to equal I_c?

A

1/8

B

1/2

C

1/4

D

1/3

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