Torque, the Physics kitten, chases his tail while running around the edge of a circular rug of radius 0.75m. If the kitten's mass is 1.5 kg, and the rug has a mass of 0.75kg, while the kitten circles at an angular speed of 3.00 rad/s, what is the angular speed of the rug? Assume the rug rests on a frictionless surface; also assume the rug is a uniform cylinder. Treat the kitten as a point-mass at distance 0.75m from the center of the rug.

Question