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Oscillations

Free and forced oscillations and resonance

  • 1 thing to know
  • Papers 2 and 3

Overview

Recall questions on free and forced oscillations, natural frequency, what resonance is, why energy transfer peaks there, and how damping changes the resonance curve.

What you need to know

Answer each one before you reveal it.

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Key term

What is the natural frequency of a system, and what is the key difference between a free and a forced oscillation?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a free oscillation?

    Model answer

    It is an oscillation in which a system, once displaced and released, vibrates at its own natural frequency with no external periodic force acting and no energy being lost.

  2. 2

    What is meant by the natural frequency of a system?

    Model answer

    It is the frequency at which the system oscillates freely when it is displaced and released.

  3. 3

    What is a forced oscillation?

    Model answer

    It is an oscillation produced by an external periodic driving force, so that the system oscillates at the driving frequency rather than its own natural frequency.

  4. 4

    What is the key difference between a free and a forced oscillation?

    Model answer

    A free oscillation occurs at the system's natural frequency with no driver, while a forced oscillation takes place at whatever frequency the driver imposes.

  5. 5

    What is resonance?

    Model answer

    It is the large increase in amplitude that occurs when the driving frequency equals the natural frequency of the system, giving maximum transfer of energy from the driver.

  6. 6

    How does the amplitude of a forced oscillation change as the driving frequency is raised from well below to well above the natural frequency?

    Model answer

    The amplitude starts small, rises to a sharp maximum when the driving frequency matches the natural frequency, then falls away again as the frequency increases further.

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