Chapter 11, Problem 54P

GO Figure 11-51 shows an overhead view of a ring that can rotate about its center like a merry-go-round. Its outer radius R₂ is 0.800 m, its inner radius is R₁ is R₂/2.00, its mass M is 8.00 kg, and the mass of the crossbars at its center is negligible. It initially rotates at an angular speed of 8.00 rad/s with a cat of mass m = M/4.00 on its outer edge, at radius R₂. By how much docs the cat increase the kinetic energy of the cat-ring system if the cat crawls to the inner edge, at radius R₁?

Figure 11-51 Problem 54.