levo

Vibrations

Free oscillation and damping

  • 3 things to know
  • Component 1

Overview

Free oscillation, natural frequency of an oscillating system and shape of the displacement-time graph for a lightly damped oscillator.

What you need to know

Answer each one before you reveal it.

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Key term

Describe an experiment to investigate the damping of a mass on a spring.

Key term

What is meant by a free oscillation?

Key term

Define the natural frequency of an oscillating system.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by a free oscillation?

    Model answer

    A free oscillation is one in which a system, once displaced and released, oscillates at its own natural frequency with no external driving force and no energy losses.

  2. 2

    Define the natural frequency of an oscillating system.

    Model answer

    The natural frequency is the frequency at which a system oscillates freely when it is displaced and released without any driving force.

  3. 3

    What is meant by damping?

    Model answer

    Damping is the removal of energy from an oscillating system by resistive forces, so that the amplitude of the oscillation decreases with time.

  4. 4

    Where does the energy lost from a damped oscillator go?

    Model answer

    The energy is transferred to internal energy of the oscillator and its surroundings, and a little is carried away as sound.

  5. 5

    Describe the shape of the displacement-time graph for a lightly damped oscillator.

    Model answer

    The graph shows an oscillation of essentially unchanged period whose peaks decrease steadily, with the peak values falling away along a decaying exponential envelope.

  6. 6

    How does light damping affect the period of an oscillation?

    Model answer

    Light damping leaves the period almost unchanged, lengthening it only very slightly while the amplitude falls.

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