The acceleration displacement graph of a particle executing SHM i… - Vidyadip

MCQ

The acceleration displacement graph of a particle executing $SHM$ is shown in figure. The time period of simple harmonic motion is

✓
$\frac {4\pi }{\sqrt 3}\,s$
B
$\frac {2\pi }{\sqrt 3}\,s$
C
The given graph doesn't represent $SHM$
D
Information is insufficient

✓

Answer

Correct option: A.

$\frac {4\pi }{\sqrt 3}\,s$

a
$a=\omega^{2} x$

$\Rightarrow \frac{a}{x}=\omega^{2}=\tan 37^{\circ}=\frac{3}{4}$

$\Rightarrow \frac{4 \pi^{2}}{\mathrm{T}^{2}}=\frac{3}{4} \Rightarrow \mathrm{T}=\frac{4 \pi}{\sqrt{3}}$ $s$

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