Which of the following relationships between the acceleration a and the displacementx of a particle involve simple harmonic motion?
(a) `a=0.7 x`
(b) `a=-200 x^(2)`
(c) `a = -10 x`
(d) `a = 100 x^(2)`.

Options

A. a=0.7x
B. `a=200x^(2)`
C. a=-10x
D. `a=100x^(3)`

Answer

C

Explanation

`a=omega^(2)x`for SHM
Only C satisfies this condition.