A horizontal shelf moves vertically with simple harmonic motion of period 1.5 sec. What is the greatest amplitude that the shelf can have so that the objects resting on it never leav it?

Answer 1

Riya, don't you have a formula to use something like this? It's been a while here. I'm looking to help. The clue is that the shelf is at rest, so something is at one or zero in one of the formulas...right?

Displacement = Amplitude x sin (angular frequency x time)
y=Ax sin (ωxt)m=mx sin (rad/xs)