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## Homework Statement

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?

## Homework Equations

x(t)=x

_{m}cos(ωt + ∅)

a(t)=-w

^{2}x

_{m}cos(ωt + ∅)

Where x

_{m}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?