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What is simple harmonic motion? What are the necessary conditions for a body to execute simple harmonic motion?

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Ans. SIMPLE HARMONIC MOTION (SHM)

To and fro oscillatory motion in which acceleration of the body is directly proportional to the displacement of the body from the mean position and is-always directed towards the mean position is known as simple harmonic motion.

Conditions for Simple Harmonic Motion

A body must fulfil the following two conditions in order to execute simple harmonic motion:

1. Acceleration of the body is directly proportional to its displacement.

2. Acceleration of the body is always directed towards the mean position. Mathematically, both conditions can be written as: a o c – x

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