**Unformatted text preview: **2 + = + = mg πr p h g m h mg πr p ω If the displacements are not small, the motion is not simple harmonic. This can be seen be considering what happens if y ~ -h ; the gas is compressed to a very small volume, and the force due to the pressure of the gas would become unboundedly large for a finite displacement, which is not characteristic of simple harmonic motion. If y >> h (but not so large that the piston leaves the cylinder), the force due to the pressure of the gas becomes small, and the restoring force due to the atmosphere and the weight would tend toward a constant, and this is not characteristic of simple harmonic motion....

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