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

Question

SmokeyBrown · Answer

Hi and welcome to QuestionCove!
If I understand the question correctly, we're dealing with an object hanging from a spring, and we want to imagine when the object on the spring is not moving or changing speed or direction. I would imagine that this occurs when the spring is fully compressed, when the spring is fully extended, and when the object is at rest because the force exerted downward by gravity and the force upward by the spring are equal.

sillybilly123 · Answer

We can totally generalise SHM as:

$ \ddot x = -  \omega^2 x $

so $\ddot x(t) = 0 \implies x(t)= 0$

IOW, the null events are contemporaneous

Shadow · Answer

Hello @CINIDVALERA I am closing this question since it has been sufficiently answered. If you have any further questions, please feel free to either post here or open a new questions.