The ralation between acceleration and displacement of four particles are given below
which one of the particles is executing simple harmonic motion?

Options

A. `a_(x)=+2x`
B. `a_(x)=+2x^(2)`
C. `a_(x)=-2x^(2)`
D. `a_(x)=-2x`

Answer

D

Explanation

For motion to be SHM acceleration of the particle must be proportional to negative of displacement.
i.e., `aprop-(y" or "x)`
it should be clear that y has to be linear