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Question

# A person of mass M IS , sitting on a swing of length L and swinging with an angular amplitude Θ0 . If the person stands up when the swing passes through its lowest point , the work done by him is close to : (assuming that his center of mass moves by a distance l(l<<L)) ,

A
mgl(1Θ20)
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B
mgl(1+Θ20)
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C
mgl
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D
Mgl[1+Θ202]
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Solution

## The correct option is B mgl(1+Θ20)Applying law of conservation of angular momentum, Mv′(L−l)=mvL⇒v′=vLL−l Using Work-energy theorem, Wm=12mv′2−12mv2 ⇒Wm=mgl(1+Θ20) Hence, option (B) is the correct answer.

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