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Rotational Kinetic Energy of a Modified Disk

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A uniform disk of mass M and radius R rotates at an angular velocity ω, possessing a rotational kinetic energy K. Suppose half of the disk’s mass is removed from the outer section where r > R/√2. If the disk maintains the same angular velocity ω, what is its new rotational kinetic energy?

A

K/8

B

K/4

C

3K/4

D

K/2

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