Introduction to Oscillations

Physics

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Oscillatory Motion

A phenomenon, process or motion, which repeats itself after equal intervals of time, is called periodic. If a body moves to and fro repeatedly about a mean position it is called oscillatory motion.

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Periodic Motion

Examples of Periodic Motion those are not oscillatory:
by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave.

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Angular Simple Harmonic Motion

If we rotate the disk from its rest position (where the reference line is at 0) and release it, it will oscillate about that position in angular simple harmonic motion and varies  in time according to the relationship:

in which are constants of the motion. By differentiating q(t) with respect to time twice, we obtain an expression for the angular acceleration of the  disk.