For a particle executing simple harmonic motion, the acceleration is proportional to

Monjur Alahi

For a particle executing simple harmonic motion, the acceleration is proportional to
(a) displacement from the mean position
(b) distance from the mean position
(c) distance travelled since t = 0
(d) speed.


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Salim Ahmed Kawsar

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(a) displacement from the mean position

EXPLANATION:  

Since a=-⍵²x, where x is the shortest instantaneous distance from the mean position i.e. magnitude of the displacement from the mean position. Hence (a) is true. 

The distance in (b) is scaler and thus is not the shortest instantaneous distance from the mean position. So not true.  

Due to the reason (b) and also at t=0 does not mean the mean position. (c) is not true. 

Acceleration is not proportional to the speed in SHM, hence (d) not true. 

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