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Questions  

A block is released from rest from point A on a smooth track, whose cross section in vertical plane is quarter of a circle of radius ‘R’. The value of  θ for which the contact force between block and surface is equal to the weight of block is

a
cos−123
b
cos−113
c
sin−123
d
sin−113

detailed solution

Correct option is D

N−mg sinθ=mv2R=mR2gRsinθ; (V2=2gh; h=rsinθ)⇒N=3mgsinθ⇒θ=sin−113 if N = mg

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