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Define simple harmonic motion and explai...

Define simple harmonic motion and explain it.

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Simple Harmonic Motion : The periodic motion about a fixed point on a linear path under the influence of the force acting towards the fixed point and proportional to displacement of the body from a fixed point is called a Simple Harmonic Motion.
Or
..Simple harmonic motion is not any periodic motion but one in which displacement is a sinusoidal function of time...
In a oscillatory motion restoring force is exerted towards mean position from any point hence in simple harmonic motion displacement of particle from the origin varies with time as `therefore x(t) = A cos (omega t+ phi)`
where `A, omega" and "phi` are constants

In figure a particle oscillating back and forth about the origin of an X-axis between the limits +A and -A is shown.
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