A Texas cockroach of mass m runs counterclockwise around the rim of a lazy Susan

Question

A Texas cockroach of mass m runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius r, rotational inertia I, and frictionless bearings. The cockroach's speed (relative to the ground) is v subscript c, and the lazy Susan turns clockwise with angular speed ?0. The cockroach finds a bread crumb on the rim and, of course, stops. What is the angular speed of the lazy Susan after the cockroach stops? State your answer in terms of the given variables.

Explanation / Answer

(mvCr-Iw0)/(mr^2+I)

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