Simple harmonic motion is defined as motion in which the acceleration is

  • A. constant in magnitude and direction
  • B. proportional to the displacement and directed towards the mean position
  • C. proportional to the speed
  • D. always zero at the extreme positions

Explanation

The restoring force is proportional to the displacement and always points back to equilibrium, which produces sinusoidal motion in time. Acceleration is therefore greatest at the extremes, where displacement is maximum, and zero at the mean position, where the speed is greatest. A mass on a spring and a simple pendulum at small angles are the standard examples.

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