A particle of mass $4 \,kg$ moves simple harmonically such that its $P E(U)$ varies with position $x$, as shown. The period of oscillations is ............
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(d)
Mass $=4 \,kg$
Maximum $P.E.$ $=\frac{1}{2} k A^2$
$1=\frac{1}{2} \times k \times(0.2)^2$
$\frac{2}{0.04}=k$
$k=50 \,N / m$
$T=2 \pi \sqrt{\frac{m}{k}}$
$T=2 \pi \sqrt{\frac{4}{50}}$
$=\frac{2 \sqrt{2} \pi}{5} \,s$
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