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Vibratory motion and periodic motion

This is an illustration for the Coriolis effec...

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Every motion made by a vibratory object and then back to its start point is a periodic motion
Note:
In this question its not mentioned that the motion is made in equal intervals of time. Please answer the question and justify it ?!

Posted by Khaled

Answer:

Vibratory motion caused by a restoring force acting on it when disturbed from mean position and inertia is essentially periodic.

Without a restoring force, the to an fro motion may not be periodic.

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