In this part, your goal is to derive the transfer function representation for the rotational mechanical system composed of two inertias Um and JL) and a damper (B) shown on the right. The input of the system is the external torque acting on the axis of Jm, i.e., u(t) = Tm, whereas the output of the system is the angular velocity of body J, i.e., y(t) = @L. Tm Jm In this part, your goal is to derive the transfer function representation for the electrical system composed of two capacitors (C1 and C2) and a resistor (R) shown on the right. The input of the system is the current source i.e., u(t) = Iin (t) whereas the output of the system is the voltage of the second capacitor, i.e., y(t) = Vout(t). Wom A I ) 1 (t) C WL www R JL O Compare the transfer function derived structures in parts b and c, and comment on the similarities and differences (apart from the obvious fact that one is a mechanical system whereas the other one is an electrical system). V(t)