A person of mass M is sitting | Gravitation

JEE MAIN 2019

12.04.19_S1

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 centre of mass moves by a distance $\mathrm{I}(\mathrm{I} \ll \mathrm{L})$, is close to :

Select the correct option:

MgI

$\operatorname{MgI}\left(1+\theta_0^2\right)$

$\operatorname{MgI}\left(1+\frac{\theta_0^2}{2}\right)$

$\operatorname{Mgl}\left(1-\theta_0^2\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution