ASSIGNMENT
Q1.
(a) Find the equation relating V1(t) and V2(t) for the cascaded RC network shown in figure. C1 and C2 are not charged initially. Derive the transfer function. Comment on its validity.
Q2.
For the mass spring damper system given in figure below, derive the ordinary differential equations describing the systems model. Further obtain the transfer function for the system.
Q3-
In figure below, the tank of water has a cross sectional area A and under steady conditions both the inflow and outflow are Vs and the head is Vh. Under these conditions find the linearized valve resistance Rf given that the flow through the valve is V = Av Cv √2gH , where V is the volumetric flow rate [m3/s], Av is the valve flow area [m2], Cd is the coefficient of discharge, g the acceleration due to gravity [m/s2], and H is the head across the valve.
