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Question

State Two differences between the natural and forced vibrations.

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Solution

The free vibration and forced vibration can be differentiated by the following points:

i) A body is said to execute free vibration when it is vibrating by itself, while a body is said to execute forced vibration when it is compelled to vibrate by a periodic force at a frequency other than its natural frequency.
ii) A body in free vibration vibrates with its natural frequency while in forced vibration it vibrates with the frequency of the source.
iii) a body in free vibration vibrates with the help of internal elastic forces while in forced vibration it vibrates with the help of external periodic force.
iv) Force vibration is self-sustained vibration while forced vibration is externally sustained vibration.


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