The circular motion of a particle with consta | vedclass

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(B) motion is said to be periodic if it repeats its path at regular intervals of time. In uniform circular motion,the particle returns to the same pos

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periodic but not $SHM$

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(B) motion is said to be periodic if it repeats its path at regular intervals of time. In uniform circular motion,the particle returns to the same position after every time interval $T = \frac{2\pi r}{v}$,so it is periodic.Simple Harmonic Motion $(SHM)$ is a specific type of oscillatory motion where the restoring force is directly proportional to the displacement from the mean position $(F = -kx)$.In uniform circular motion,the acceleration is always directed towards the center (centripetal acceleration),which does not satisfy the condition for $SHM$ along a straight line.Therefore,uniform circular motion is periodic but not $SHM$.

The circular motion of a particle with constant speed is

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