A Texas cockroach of mass 0.17 kg runs counterclockwise around the rim of a lazy

Question

A Texas cockroach of mass 0.17 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has radius 15 cm, rotational inertia5.0 x 10^-3kg?m^2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.0 m/s, and the lazy Susan turns clockwise with angular velocity?0=3.5rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the angular speed of the lazy Susan after the cockroach stops? rad/s (b) Is mechanical energy conserved as it stops? YesNo

Explanation / Answer

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

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