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A particle of mass m makes SHM in a smooth hemispherical bowl ABC and it moves from A to C and back to A via ABC,so that PB=h. Find the speed of the ball when it just crosses the point B. image

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From law of conservation of energy,
PE at A=KE at B
or `" " mgh=(1)/(2)mv^(2) " or " v=sqrt(2gh)`

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