So please review them before you begin.
A solid ball of mass M and radius r sits at rest at the top of a hill of height H leading to
a circular loop-the-loop. The center of mass of the ball will move in a circle of radius R if it
goes around the loop. Recall that the moment of inertia of a solid ball is Iball = 2MR2. 5
a) Find the minimum height Hmin for which the ball barely goes around the loop stay- ing on the track at the top, assuming that it rolls without slipping the entire time independent of the normal force.
b) where it was a block that slid around a frictionless track? Does this answer make sense? If it is higher, where did the extra potential energy go? If it is lower, where did the extra kinetic energy come from?

c) Discussion question for recitation: The assumption that the ball will roll around the track without slipping if released from this estimated minimum height is not a good one. Why not?