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Oscillations

Energy in an undamped oscillation

  • 3 things to know
  • Papers 2 and 3

Overview

Recall questions on the energy changes through a cycle, where kinetic and potential energy peak, the form the potential energy takes, and how total energy depends on amplitude.

What you need to know

Answer each one before you reveal it.

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Key term

What energy changes take place during one cycle of an undamped oscillation, and where in the cycle are the kinetic and potential energies greatest?

Process

What form does the potential energy take for a pendulum and for a horizontal mass-spring, and how does total energy depend on amplitude?

Process

What happens to total energy if the amplitude halves, what does a total energy against displacement graph look like, and how does the amplitude of a lightly damped oscillator change with time?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What energy changes take place during one cycle of an undamped oscillation?

    Model answer

    Kinetic energy and potential energy are continually interchanged, while their sum, the total energy of the oscillator, stays constant.

  2. 2

    At what point in the cycle is the kinetic energy of an oscillator greatest?

    Model answer

    As it passes through the equilibrium position, where its speed is maximum and its potential energy is at a minimum.

  3. 3

    At what point in the cycle is the potential energy of an oscillator greatest?

    Model answer

    At maximum displacement, where the oscillator is momentarily at rest and its kinetic energy is zero.

  4. 4

    For a mass oscillating on a horizontal spring, what form does the potential energy take?

    Model answer

    It is elastic potential energy stored in the stretched or compressed spring.

  5. 5

    For a swinging pendulum, what form does the potential energy take?

    Model answer

    It is gravitational potential energy, gained as the bob rises above its lowest point.

  6. 6

    How does the total energy of a simple harmonic oscillator depend on its amplitude?

    Model answer

    The total energy is proportional to the square of the amplitude.

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