Recent content by phys3107_

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

Ahh I see, I understand the approximation now. So to get to the differential equation I just need to substitute that into ##ma = A(P - P_{0})##?

Thank you although I'm not sure I understand what you mean by "linearize".

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...