The displacement of a particle is represented by the equation `y=sin^(3)omegat.` The motion is

Options

A. non-periodic
B. periodic but not simple harmonic
C. simple harmonic with period `2 pi//omega`
D. simple harmonic with period `pi//omega`

Answer

B

Explanation

As `y = sin^(3)omegat = (1)/(4)[3 sin omega t - sin 3 omega t]`
As this function cannot be represented by single harmonic function. So, it do not represent SHM but since is a periodic function and sum and difference of periodic function is also periodic, so motion is periodic.