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The relation between acceleration and di...

The relation between acceleration and displacement of four particle are given below, which one of the particle is exempting simple harmonic motion?

A

`a_(x)= +2x`

B

`a_(x)= +2x^(2)`

C

`a_(x)= -2x^(2)`

D

`a_(x)= -2x`

Text Solution

Verified by Experts

The correct Answer is:
D
Necessary condition for SHM is that the acceleration of particle is always directed towards the mean position and opposite to displacement.
`therefore a propto -x`
`therefore a= -kx`
In given option D, `k= -2` and displacement must be linear.
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