A lazy Susan consists of a heavy plastic disk mounted on africtionless bearing resting on a vertical shaft through itscenter. The cylinder has a radius R = 10 cm and mass M = 0.23 kg. A cockroach (mass m = 0.015 kg) ison the lazy Susan, at a distance of 10 cmfrom the center. Both the cockroach and the lazy Susan areinitially at rest. The cockroach then walks along a circular pathconcentric with the axis of the lazy Susan at a constant distanceof 10 cm from the axis of the shaft. Ifthe speed of the cockroach with respect to the lazy Susan is 0.01m/s, what is the speed of the cockroach with respect to the room?