Question

Which of the following relationship between the force F on a particle is position x' implies simple harmonic, oscillation?
(a) F = -5x (b) F = -400 $x^2$ (c) F = 10x

Answer 1

According to definition of SHM,

A motion is considered SHM,

If, $F\propto -x$

where F= force applied on particle,

x= displacement of the particle.

Hence only option $\text{a}$ is correct.