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A cat of mass m = 3.0 kg is initially located at the rim of a...

A cat of mass m = 3.0 kg is initially located at the rim of a uniform disk of mass M = 6.0 kg and radius R = 2.0 m. The disk is rotating freely about a fixed center like a merry-go-round and makes one revolution in 1.6 s. Find the time (in s) it takes the disk to make one revolution if the cat moves to a point located at r = 0.5 R from the center of the disk.

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