The displacement of aparticle along the x-axis is given

The displacement of aparticle along the x-axis is given by x = a sin² ωt . The motion of the particle corresponds to :

1. simple harmonic motion of frequency ω / π
2. simple harmonic motion of frequency 3ω / 2π
3. non simple harmonic motion
4. simple harmonic motion of frequency ω / 2π

x = a sin² ωt =	a	(1 - cos 2ωt)
	2

	dx	=	a	2ω sin 2ωt
	dt		2

⇒	d²x	=	4ω²a	. cos 2ωt
	dt²		2

This represents an S. H. M. of frequency =	ω
	π