JEE Main 2019 — Physics solution

JEE Main2019Physics

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 centre of mass moves by a distance l (l<<L), is close to :

A
$M g l$
B
$M g l (1 + θ_{0}^{2})$
C
$M g l (1 + \frac{θ _{0}^{2}}{2})$
D
$M g l (1 - θ_{0}^{2})$

Solution

$W_{man} = M g_{e f f} l g_{e f f} = g (1 + θ_{0}^{2}) W_{man} = M g l (1 + θ_{0}^{2})$

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