A particle of mass m is released from rest at point A in the figure falling freely under gravity parallel to the vertical Y axis. The magnitude of angular momentum of particle about point O when it reaches B is : (Where OA = b and AB = h)

Engineering

Physics

Acceleration

Relative Motion

Angular Momentum and Conservation of Angular Momentum

Question

A particle of mass m is released from rest at point A in the figure falling freely under gravity parallel to the vertical Y axis. The magnitude of angular momentum of particle about point O when it reaches B is : (Where OA = b and AB = h)

$mb \sqrt{2 gh}$

$mh \sqrt{2 gh}$

None of these

mh/(bg)

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Velocity at B = $\sqrt{2 gh}$
∴ angular momentum = m × $\sqrt{2 gh}$ × b