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Q. A cockroach with mass m runs counter clockwise around the rim of a lazy Susan (a circular dish mounted on a vertical axle) of radius R and rotational inertia I with frictionless bearings. The cockroach's speed (regarding the earth) is v, whereas lazy Susan turns clockwise with angular speed [omega] 0. The cockroach determines a bread crumb on the rim and, of course, stops. (a) What is the angular speed of the lazy Susan after the cockroach stops? (b) Is mechanical energy conserved?

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