1. The problem statement, all variables and given/known data 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. 2. Relevant equations simple harmonic eqn iss of the form x=Asin(wt) or x=acos(wt). 3. 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 dont know whether its SHM or not. thank you for ur help.