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A simple harmonic motion is one for which the acceleration of the body into consideration is proportional its displacement from the mean position and the direction of the acceleration is always directed towards that mean position. It can be shown that, provided that the amplitude of oscillation is small, the motion of a simple pendulum is simple harmonic.

All simple harmonic motions follow one rule F=-kx . When the oscillation is small(around 5 °), the motion of simple pendulum is simple harmonic motion.

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