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  4. The point A moves with a uniform speed along the circumference of a circle of radius 0.36 m and covers 30° in 0.1 s. The perpendicular projection 'P' from 'A' on the diameter MN represents the simple harmonic motion of 'P'. The restoration force per unit mass when P touches M will be <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/bed7bac54828727112f38af96e2ad1d3-.png />

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Q. The point A moves with a uniform speed along the circumference of a circle of radius $0.36 m$ and covers $30^{\circ}$ in $0.1 s$. The perpendicular projection 'P' from 'A' on the diameter MN represents the simple harmonic motion of 'P'. The restoration force per unit mass when $P$ touches $M$ will be

image

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Solution:

image
$30^{\circ} \rightarrow 0.1 s$
$360^{\circ} \rightarrow 1.2 s = T$
$\omega=\frac{2 \pi}{ T }=\frac{5 \pi}{3}$
At $M , F = m \omega^{2} A $
$\Rightarrow \frac{ F }{ m }=\omega^{2} A$