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A simple pendulum, made of a string of length A and a bob of mass m, is released from a small angle θ 0 . It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle θ 1 . Then M is given by :

1. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ θ θ θ + θ 1 0 1 0 – 2 m
2. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ θ + θ θ θ 1 0 1 0 – 2 m
3. m ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ θ θ θ + θ 1 0 1 0 –
4. m ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ θ + θ θ θ 1 0 1 0 –

Correct answer: m ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ θ θ θ + θ 1 0 1 0 –

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