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A particle performs linear SHM of period...

A particle performs linear `SHM` of period `(2pi)/(omega)` about a point 'O' and is observed to have a velocity `b omega sqrt(3)` when at a distance `b` from 'O'. If the particle is moving towards the positive extermity at that instant, show that it will travel a further distance `b` in a time `(pi)/(3 omega)` before coming momentarily to rest.

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