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  4. A particle of mass 1 kg is undergoing S.H.M, for which graph between force and displacement (from mean position) is shown. Its time period, in seconds, is: <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/7b69e3360f90df7247deb9dba096c6b0-.png />

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Q. A particle of mass $1 kg$ is undergoing $S.H.M$, for which graph between force and displacement (from mean position) is shown. Its time period, in seconds, is:
image

Oscillations

Solution:

$F = - m \omega^{2} x $
so $\omega^{2}=\frac{13.5}{1.5}=9 $
$\Rightarrow \omega=3$
$T =\frac{2 \pi}{3} $