Problem 3 Multi-DOF Response to a Cyclic Input (40pts) In the previous assignment, we modeled a passive quarter suspension model. Now we add a controller to make the suspesion system active. As shown. 1 se mc Suspension System u kožbe + I mw 22 kw ibw Wheel & Tire 1 I with me = 1.0 Metric Tons, mw = 20kg, be = 1000Ns/m, bw = 900N - s/m,ke = 1500N/m,kw = 2000N/m a. (20%) Derive the equations of motion for the system. Then derive, symbolically, the transfer function relating the actuator input to car height: Ze(s) U(s)