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A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude θ 0 . If the person stands up when the swing passes through its lowest point, the work done by him, assuming that his center of mass moves by a distance A ( A <<L), is close to;

1. mg A (1 + θ 0 2 )
2. mg A
3. mg A ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ θ + 2 1 2 0
4. mg A (1 – 2 0 θ )

Correct answer: mg A (1 + θ 0 2 )

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