Question

What is phase difference ebtween displacement and accelaration of a particle executing simple harmonic motion

Answer 1

y=a sin(wt+ø)
on differentiation,
v=aw cos(wt + ø)
again differentiation u will get,
a= - aw² sin(wt+ø)
now take the minus sign inside as π
a= aw²sin(wt + ø + π)

So phase difference between displacement and acceleration will be----->
= wt + ø + π —{ wt + ø}
= wt + ø + π - wt - ø
= π

Answer 2

hope it will help you