Question

When are the displacement and acceleration equal to zero for the motion of a mass on a spring?

Answer 1

As we know that when object is connected to spring then the motion is to and from about the mean position

Then the acceleration is given as

$a = \omega^2 x$

here we know that

$\omega$ = angular frequency

now if the displacement from mean position is zero then we will have x =0

and hence the acceleration must be zero

so we will say that acceleration and displacement both are zero when object is at equilibrium position

So correct answer will be

C. at the equilibrium position