A particle is released from rest at a point P inside a friction- less hemispherical bowl of radius R. (a) Show that when P is near the bottom of the bowl the particle undergoes simple harmonic motion. (b) Find the length of the equivalent simple pendulum.

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A particle is released from rest at a point P inside a friction-
less hemispherical bowl of radius R. (a) Show that when P is
near the bottom of the bowl the particle undergoes simple
harmonic motion
. (b) Find the length of the equivalent simple
pendulum.

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