A shunt motor in Figure P14.30 is characterized by a field coefficient kf 0.12 V-s/A-rad, such that the back emf is given by the expression Eb = kfifw and the motor torque by the expression T = kfifla. The motor drives an inertia/viscous friction load with parameters = 0.8 kg-m2 and b = 0.6 N-m-s/rad. The field equation may be approximated by VS = Rfif. The armature resistance is Ra = 0.75 0, and the field resistance is RF-600. The system is perturbed around the nominal operating point VS0-150 V. w0-200 rad/s, la0=186.67 A, respectively. a. Derive the dynamic system equations in symbolic form. b. Linearize the equations you obtained in part a Vs m La Figure P14.30