Question

Show that each oscillatory motion is a special type of periodic motion.

Accepted Answer

Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. It to and fro motion of an object from its mean position.

A motion repeating itself at regular intervals is regarded as periodic motion.

It is clear from the above definitions that:

(1) The oscillatory motions are periodic because each oscillation gets completed in a definite interval of time as in the case of a periodic motion. Eg: On being pulled and then released, a load attached to a spring executes oscillatory motion.

(1) Each oscillatory motion repeats itself and comes to its original position after a fixed time as in a periodic motion.

On the other hand, all periodic motions may not be oscillatory. Eg: the Revolution of planets around the Sun is a periodic motion but not an oscillatory motion (i.e. no to and fro motion about its mean position is present).

Therefore, we can say that each oscillatory motion has the characteristics of a periods motion along with speciality of.to and fro motion around a mean position, hence we can say that an oscillatory motion is special a type of periodic motion

Show that each oscillatory motion is a special type of periodic motion.

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