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Question

Distinguish between the free(or natural) and forced vibrations.

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Solution

Below are the differences between Free and Forced vibrations
S.NoFree VibrationsForced Vibrations
1Free vibration is a vibration in which energy is neither added to nor removed from the vibrating body.Forced vibration is one in which energy is added to the vibrating body.
2It will just keep vibrating forever at the same amplitude.The amplitude of a forced, undamped vibration would increase over time until the mechanism was destroyed. The amplitude of a forced, damped vibration will settle to some value where the energy loss per cycle is exactly balanced by the energy gained.
3Except from some superconducting electronic oscillators, or possibly the motion of an electron in its orbit about an atomic nucleus, there are no free vibrations in nature. Musical instruments, reed instruments and loudspeakers are good examples of forced vibrations.

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