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Rotational Inertia of a Disk With a Hole

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A small circular hole is cut from a uniform circular disk. The center of the hole is located at a distance from the disk’s center equal to half the disk’s radius. How does this modification affect the rotational inertia of the disk about an axis through its center and perpendicular to its plane?

A

Decreases by the hole’s I plus md²

B

Increases due to the asymmetric mass distribution

C

Decreases only by the hole’s rotational inertia

D

Remains unchanged if the hole is small enough

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