Circular MotionHard

Question

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

Options

A.g√10
B.g
C.g√2
D.3g

Solution

           
u2 = 5gR    ∴  v2 = u2 - 2gR= 5gR - 2gR = 3gR
Tangential acceleration at B is at = g (downwards)
Centripetal acceleration at B is aC = = 3g
a =

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