The mass of a particle is $1\,\,kg$ and it is moving along $x-$ axis. The period of its small oscillation is $\frac {\pi }{2}$ . Its potential energy may be
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$\mathrm{F}=\mathrm{ma}$
and $a=-\omega^{2} x$
$\Rightarrow a=-16 x$
so $\quad F=-16 \sin x\left[\begin{array}{c}{\text { for small oscillations }} \\ {\sin x=x} \\ {\text { and } m=1 \mathrm{kg}}\end{array}\right]$
$\mathrm{U}=-\int \mathrm{f} \mathrm{dx}=-16 \cos \mathrm{x}$
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