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A heavy particle of mass m is in motion ...

A heavy particle of mass m is in motion on a smooth surface of hemisphere of radius R and there is no friction. At the initial instant the particle is at the topmost point A and has an initial velocity `v_(0)` At what point will the particle leave the surface of the hemisphere ? Also determine the value of `v_(0)` for which the particle will leave the sphere at the initial instant.

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