Q. pg (15 Marks) Consider the simple manometer that is shown in Figure 3. The characteristic differential equation of this system is given by: 2L dh 16ul dh P - P2 AP 3g dt: PD-g dt pg Where: L 4, 8, p and D are constants. tis P = 0 P=0 the independent variable and h is the dependent variable. Assume that the input for the system is X(t) where . X(t) = and the output is h. pg Reference level 1) Derive the transfer function of this 1/2 h(s) system in terms of (7 Marks) x(s) 2) Draw the MATLAB Simulink model for this system. (8 Marks) Before(Initial After (Final) Figure (3)