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Question
A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude $\theta $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 $\ell $($\ell $ << L), is close to;
mg$\ell $(1 + $\theta $02)
mg$\ell $
mg$\ell $(1 + ${{\theta _0^2} \over 2}$)
mg$\ell $(1 - $\theta $02)

Solution

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