Question: A uniform solid sphere of radius r starts from rest at a height h and rolls without slipping along the loop-the-loop track of radius R

A uniform solid sphere of radius r starts from rest at a height h and rolls without slipping along the loop-the-loop track of radius R as shown in Figure.

(a) What is the smallest value of h for which the sphere will not leave the track at the top of the loop?

(b) What would h have to be if, instead of rolling, the ball slides without friction?

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