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Resonance

All objects have a natural frequency, which is the frequency at which an object would tend to oscillate if no resistive forces were applied on it (free oscillation).

Resonance is a special case of forced oscillation where the frequency of the driver force $$(f)$$ equals the natural frequency $$(f_{0})$$ of the object.

  • If the system is not damped, this causes the amplitude of oscillation to increase indefinitely over time.

  • If the system is damped, the amplitude of the forced oscillation under the conditions of resonance will reach a maximum value.