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In case of a simple harmonic motion, if the velocity is plotted along the $X$ -axis and the displacement (from the equilibrium position) is plotted along the $Y$ -axis, the resultant curve happens to be an ellipse with the ratio:
major axis (along X) $=20 \pi$ minor axis (along $Y)$
What is the frequency of the simple harmonic motion?
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major axis (along X) $=20 \pi$ minor axis (along $Y)$
What is the frequency of the simple harmonic motion?
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The correct answer is:
$10 \mathrm{Hz}$
In representation of simple harmonic motion in ellipse as velocity along $X$ -axis and displacement along $Y$ -axis. $\frac{\text { Major axis (along } X \text { -axis) }}{\text { Minor axis (along } X \text { -axis) }}=20 \pi$
$\Rightarrow \quad \frac{\omega A}{A}=20 \pi \Rightarrow \omega=20 \pi$
The frequency of the simple harmonic motion
$\Rightarrow \quad \frac{\omega A}{A}=20 \pi \Rightarrow \omega=20 \pi$
The frequency of the simple harmonic motion
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