# A solid sphere of mass m and radius R rolls down a parabolic path PQR from...

###### Question:

A solid sphere of mass m and radius R rolls down a parabolic path PQR from height H without slipping (assume R « H) as shown in the figure below. Path PQ is rough (and so the shell will roll on that path), whereas path QR is smooth, or frictionless (so the shell will only slide, not roll, in this region). Determine the height h above point Q reached by the shell on path QR. (Use the following as necessary: m, g, H, and R.) h = P R R H