Question
For a particle executing simple harmonic motion, the acceleration is proportional to:
  1. Displacement from the mean position.
  2. Distance from the mean position.
  3. Distance travelled since t = 0.
  4. Speed.

Answer

  1. Displacement from the mean position.
Explanation:
For S.H.M.,
F = -kx
ma = -kx (F = ma)
or,
$\text{a}=-\frac{\text{k}}{\text{m}}\text{x}$
Thus, acceleration is proportional to the displacement from the mean position but in opposite direction.

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