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Define frequency, cycle, period and free vibration

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Frequency: 

It is the number of cycles described in one second 

Cycle:

It is defined as the motion completed during one time period Period: It is the time interval after which the motion the motion is repeat itself.

Free vibrations:

if the periodic motion continues after the causes of original disturbance is removed, then the body is said to be under free vibrations. 

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