A cockroach of mass m lies on the rim of a uniform diskof mass 3.27m that can rotate freely about its center likea merry-go-round. Initially the cockroach and disk rotate togetherwith an angular velocity of 0.318 rad/s. Then the cockroach walkshalfway to the center of the disk.
(a) What thenis the angular velocity of the cockroach-disk system?
(b) What is the ratioK/K0 of the new kinetic energy of thesystem to its initial kinetic energy?
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