Question

The displacement of a particle along the r-axis is given by x = asin²ωt,t. The motion of the particle corresponds to 

(a) simple harmonic motion of frequency ω/π

(b) simple harmonic motion of frequency 3ω/2π

(c) non simple harmonic motion 

(d) simple harmonic motion of frequency ω/2π

Answer 1

Correct option  (c) non simple harmonic motion 

Explanation:

For the given displacement x a sin²ω/t,

a ∝-x is not satisfied

Hence, the motion of the particle is non simple harmonic motion.

Note : The given motion is a periodic motion with a time period