A particle is projected along the inner surface of a smooth vertical circle of radius R, its velocit

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A particle is projected along the inner surface of a smooth vertical circle of radius R, its velocity at the lowest being . It will leave the circle at an angular distance .... from the highest point

Accepted Answer

by conservation of mechanical energy [between point A and B]
mu² = mg R(1 + cos θ) +mv²
= mg(1 + cosθ) + mgRcosθ
⇒= 2 + 2cos θ + cos θ ⇒ 3cosθ = ⇒ cos θ = ⇒ θ = 53^o

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