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Question

A Particle is performing SHM. If its displacement from mean position is x, corresponding resultant force on it is F and acceleration is a, which of the following graphs is correct?

A
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B
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C
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D
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Solution

The correct option is D
If a particle of a mass m performs SHM with angular frequency ω and amplitude ‘A’ then its Acceleration, when displacement from mean position is equal to x, is a=ω2x
F=ma=mω2x.
Therefore the curve between F and x will be a straight line passing through origin and having a negative Slope.

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