Problem 2 Consider the hydraulic tank system with inertance and hose compliance shown below. P P= hose h R: grove A P = 0 The hose has length L, cross-sectional area a, and its compliance is equivalent to an effective bulk modulus . Further, the liquid has density p and the outlet valves each have (linear) resistance R = R = R3. You may assume that the average system pressure is the hydrostatic pressure at the bottom of the tank (with cross sectional area A). a) Write the resulting system differential equation, including the hose compliance and the inertance of the liquid in the hose. (25 points) ME3360 L. Guvenc b) Determine the system transfer function from Ps to go using the method of determinants. (25 points)