Q- A solid sphere of radius R starts at rest on top of a semicircular track of radius S., as shown in the figure. The sphere rolls *without slipping *along the track until it falls off the track at point B. Point A is a vertical distance H above the ground; the height of point B is unknown. You may assume that R<<S.

(a) What is the angular speed ω_{A} of the sphere at point A, expressed as a function of H, R, S, and the (downward) acceleration of gravity *g*?

(b) Find the speed of the sphere at point B, where it falls off the track.

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IriamAbhigyan Martin Ninama