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Question
For a particle executing simple harmonic motion, the acceleration is proportional to
Options
displacement from the mean position
distance from the mean position
distance travelled since t = 0
speed
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Solution
displacement from the mean position
For S.H.M.,
F = -kx
ma = - kx (F = ma)
or,
a =\[- \frac{k}{m}x\]
Thus, acceleration is proportional to the displacement from the mean position but in opposite direction.
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