differential equation of simple harmonic motion
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An oscillatory motion, in which the acceleration of the particle at any position is directly proportional to the displacement from the mean position is called simple harmonic motion or SHM. It is a special case of oscillatory motion.
All the Simple Harmonic Motions are oscillatory and also periodic but not all oscillatory motions are SHM. Oscillatory motion is also called the harmonic motion of all the oscillatory motions, the most important is simple harmonic motion (SHM).
In this type of oscillatory motion displacement, velocity and acceleration and force vary (w.r.t time) in a way that can be described by either sine (or) the cosine functions collectively called sinusoids.
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