Figure P7.30 shows an example of a hydraulic accumulator,

Chapter , Problem 7.30

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Figure P7.30 shows an example of a hydraulic accumulator, which is a device for reducing pressure fluctuations in a hydraulic line or pipe. The fluid density is \(\rho\), the plate mass is m, and the plate area is A. Develop a dynamic model of the pressure p with the pressures \(p_{1}\) and \(p_{2}\) as the given inputs. Assume that \(m \ddot{x}\) of the plate is small, and that the hydrostatic pressure \(\rho g h\) is small.

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