Yes, its clicked now, thank you for your help! The differential is give by:
$$\frac{\mathrm{d}^2 \delta}{\mathrm{d} t^2} + \frac{gA}{V_{0}}\delta = 0$$
So the solution for the angular frequency is:
$$\omega = \sqrt{\frac{gA}{V_{0}}}$$
Correct? :D
Sorry for the late reply, I decided to revisit it a day later after I realized the gravity blunder. I managed to get that equation, Chestermiller.
At any point in time:
$$ma = PA - mg$$
But we also know mg from equilibrium conditions:
$$mg = P_{0}A$$
So:
$$ma = A(P - P_{0})$$
So do I now just...
Homework Statement
A frictionless piston of mass m is a precise fit in the vertical cylindrical neck of a large container of volume V. The container is filled with an ideal gas and there is a vacuum above the piston. The cross-sectional area of the neck is A. Assuming that the pressure and...