A particle is given an initial speed u inside a smooth spherical shell of radius R = 1 m such that it is just able to complete the circle. Acceleration of the particle, when its velocity is vertical, is

Question

A particle is given an initial speed u inside a smooth spherical shell of radius R = 1 m such that it is just able to complete the circle. Acceleration of the particle, when its velocity is vertical, is, g 10, g, g 2, 3 g

MARKS App · Accepted Answer

Speed at lowest point, to just complete the circle, u 2 = 5 g R ∴ Speed, when velocity becomes vertical, is v 2 = u 2 - 2 g R v 2 = 5 g R - 2 g R = 3 g R Tangential acceleration at B is a t = g (downwards) Centripetal acceleration at B is a c = v 2 R = 3 g ∴ Total acceleration will be, a = a C 2 + a t 2 = g 10

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