First slide

Simple hormonic motion

Question

Acceleration displacement graph of a particle executing S.H.M is as shown in given figure. The time period of its oscillation is (in sec)

Easy

A

$\large \frac{\pi }{2}$
B

$\large 2\pi$
C

$\large \pi$
D

$\large \frac{\pi }{4}$

Solution

$\large a\, = - {\omega ^2}x$
Slope = tan135⁰ = -1
$\large \therefore \, - {\omega ^2} = \, - 1$
$\large \Rightarrow \,\omega \, = \,1\,rad/s$
$\large \frac{{2\pi }}{1}\, = \,T\,\,\, \Rightarrow \,T\, = \,2\pi \sec$

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