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Question

Differentiate between resonance and forced vibrations.


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Solution

  1. When an external force is applied to a body, the periodic frequency of the body is equal to the natural frequency of the body.
  2. The body readily begins to vibrate or is free to vibrate with an increased amplitude. This phenomenon is known as resonance.
  3. When a body executes vibrations under the action of an external periodic force, then the vibrations are called forced vibrations.
  4. Difference between resonance and forced vibrations:
ResonanceForced vibrations
  1. Resonant vibrations are the vibrations of a body due to an external periodic force with a frequency that is exactly equal to the body's natural frequency.
  2. The amplitude of vibration is large.
  3. The wine glass will ring at its natural frequency.
  1. Forced vibrations are the vibrations of a body due to an external periodic force with a frequency that differs from the body's natural frequency.
  2. The amplitude of vibration is relatively small.
  3. Examples of force vibrations are guitar, washing machine

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