In the figure shown, a particle is released from the position A on a smooth track. When the particle reaches at B, then normal reaction on it by the track is:-


a) mg
b) 2mg
c) 2mg/3
d) m2g/h

Sliding of the block:PE at the top=KE at the bottommg3h=12mv2v2=6ghMotion along the circle:KE at the bottom=KE+PE at the top12mv2=12mv'2+mg2hmv2=mv'2+4mghv2=v'2+4gh6gh=v'2+4ghv'2=2ghv'=2ghNormal reaction:R=mv'2r-mg   =m2ghh-mg   =mg

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