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A particle is released on a vertical smooth semicircular track from point X so that...

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A particle is released on a vertical smooth semicircular track from point X so that OX makes angle from the vertical see figure The normal reaction of the track on the particle vanishes at point Y where OY makes angle with the horizontal Then 1 sin cos 0 3 sin 3 sin 2 3 cose 1 2 sin cose 2 3 4 4 sin cose mg Y 2014

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