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A particle is moving in a circle with uniform speed. Its motion isa) Periodic and simple harmonicb) Non periodicc) Periodic but not simple harmonicd) Non periodic but simple harmonic

Question

A particle is moving in a circle with uniform speed. Its motion isa) Periodic and simple harmonicb) Non periodicc) Periodic but not simple harmonicd) Non periodic but simple harmonic

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Solution

The correct answer is c) Periodic but not simple harmonic.

Here's why:

A particle moving in a circle with uniform speed is undergoing uniform circular motion. This motion is periodic because the particle repeats its path at regular intervals.

However, this motion is not simple harmonic. Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement. In the case of uniform circular motion, the direction of velocity (which is tangential) is always changing and is not directly opposite to the displacement from the equilibrium position. Therefore, it does not meet the criteria for simple harmonic motion.

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