A hoop of mass M and radius R rests on a smooth, level surface. The inside of the hoop has...

A hoop of mass M and radius R rests on a smooth, level surface. The inside of the hoop has ridges on either side, so that it forms a track on which a bail can roll, as indicated in Figure 9-25. If a ball of mass 2M and radius r = R/4. is released as shown, the system rocks back and forth until it comes to rest with the ball at the bottom of the hoop. When the ball comes to rest, what is the % coordinate of its center?

FIGURE 9-25 Problem