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Oscillations

The defining equation of simple harmonic motion and timing oscillations

  • 2 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on defining simple harmonic motion, a = −ω²x and its negative sign, x = A cos ωt and x = A sin ωt, and measuring the period of a mass-spring system or pendulum using repeat timings and a fiducial marker.

What you need to know

Answer each one before you reveal it.

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Key term

Define frequency, period and angular frequency for an oscillation.

Evaluation

How is the period of an oscillation measured, and how are timing multiple oscillations and a fiducial marker used to improve the measurement?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define simple harmonic motion.

    Model answer

    Oscillatory motion where the acceleration is directly proportional to displacement and always directed towards the equilibrium position.

  2. 2

    What does the negative sign in the equation a = −ω²x indicate?

    Model answer

    That acceleration is always directed opposite to displacement, towards the equilibrium position.

  3. 3

    State the defining equation for simple harmonic motion.

    Model answer

    a = −ω²x

  4. 4

    How can the period of a mass-spring system be determined experimentally?

    Model answer

    By timing multiple oscillations and dividing by the number of oscillations.

  5. 5

    How can the period of a simple pendulum be determined experimentally?

    Model answer

    By timing multiple oscillations and dividing by the number of oscillations.

  6. 6

    Why does timing multiple oscillations and calculating the mean improve measurements of period?

    Model answer

    It reduces the percentage uncertainty in period measurements.

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