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(C) Consider a particle moving with a constant angular velocity $\omega$ along the circumference of a circle of radius $r$.The position of the particl

Vedclass · Accepted Answer

The projection of the particle on any of the diameters executes $S$.$H$.$M$.

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(C) Consider a particle moving with a constant angular velocity $\omega$ along the circumference of a circle of radius $r$.The position of the particle at any time $t$ can be represented by the angle $	heta = \omega t + \phi$.The projection of the particle on the $x$-axis (a diameter) is given by $x = r \cos(\omega t + \phi)$.This equation represents the displacement of a particle executing Simple Harmonic Motion ($S$.$H$.$M$.) with amplitude $r$ and angular frequency $\omega$.Since the projection on any diameter follows this sinusoidal form,the projection of uniform circular motion on any diameter is $S$.$H$.$M$.

$A$ particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true?

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