Write the equation of motion of a particle executing SHM if at t = 0 its displacement is maximum.

Explanation

Equation of SHM of a particle is `x=Asin(omegat+alpha)`
Now if at t = 0, the displacement is maximum, i.e., x = A, then,
`A=Asin(omega*0+alpha)or,sinalpha=1="sin"pi/2or,alpha=pi/2`
So, the equation of the particle executing SHM is,
`x=Asin(omegat+pi/2)or,x=Acosomegat`.