(Solution) - A solid sphere of mass m and radius -(2025 Original AI-Free Solution)

Paper Details

A solid sphere of mass m and radius r rolls without slipping along the track shown in Figure P10.79. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r.
(a) What is the minimum value of h (in terms of R) such that the sphere completes the loop?
(b) What are the force components on the sphere at the point P if h = 3R?