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The figure shows a simple pendulum whose bob is an elastic ball. It collides elastically with the slant wall.

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The figure shows a simple pendulum whose bob is an elastic ball. It collides elastically with the slant wall. Calculate the period of the pendulum oscillations for small α and β as shown in the figure.

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Let the string make and angle θ with the downward vertical.

The period is double of this value. Hence

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