A small sphere of mass m is tied to one end of a string of length l. The other end of the string is attached to a fixed point o . The sphere is released from position A when the string is horizontal and the sphere starts moving in a vertical circle. When the string makes an angle of θ with horizontal, centripetal acceleration of the sphere is,

Question

A small sphere of mass m is tied to one end of a string of length l. The other end of the string is attached to a fixed point o . The sphere is released from position A when  the string is horizontal and the sphere starts moving in a vertical circle. When the string makes an angle of θ with horizontal, centripetal acceleration of the sphere is,

Infinity Learn · Accepted Answer

If V be the speed of the sphere at position B,Then conserving energy, $$12mv2=mglsin$$θ⇒$$v2l=2gsin$$θ∴Centripetal acceleration at B, $$an=v2l=2gsin$$θ

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