Problem 4.62

In a cylinder filled up with ideal gas and closed from both ends there is a piston of mass m, and cross-sectional area S (Fig. 4.21). In equilibrium the piston divides the cylinder into two equal parts, each with volume \(V_{0}\). The gas pressure is \(p_{0}\). The piston was slighlty displaced from the equilibrium position and released. Find its oscillation frequency, assuming the processes in the gas to be adiabatic and the friction negligible.