A block rides on a piston that is moving vertically with simple harmonic motion. (a) If the SHM has period 2.65 s, at what amplitude of motion will the block and piston separate?
x(t)=xmcos(ωt + ∅)
a(t)=-w2xmcos(ωt + ∅)
Where xm is the amplitude.
The Attempt at a Solution
So from the Period T=2.65 s I found the angular frequency ω=2.37 rad/s. I assume that the block and piston separate when the acceleration is at a maximum. How do I find the amplitude from this information?