Is this simple harmonic motion?

[faiz4000]

Homework Statement

The displacement of a particle along x-axis given by x=A sin^2(wt), where the symbols have their usual meaning. Is the particle motion simple harmonic? also find its time period.

Homework Equations

simple harmonic eqn iss of the form x=Asin(wt) or x=acos(wt).

The Attempt at a Solution

using the identity sin^2(wt)=(1-cos(2wt))/2
x=A/2(1-cos(2wt)
then x=A/2-A/2cos(2wt)

here i get the time period using T=2pi/w as pi/w.
but i don't know whether its SHM or not.
thank you for ur help.

 

[consciousness]

using the identity sin^2(wt)=(1-cos(2wt))/2
x=A/2(1-cos(2wt)
then x=A/2-A/2cos(2wt)

Here you have proved that is an SHM. Only the mean position is not at origin.

 

[faiz4000]

thanks.