A uniform solid sphere of radius r starts from rest at a height h and rolls without

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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?

R

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