The parameter values for a certain armature-controlled motor are
KT = Kb = 0.05 N.m/A
Ra = 0.8 Ω
La = 3x 10-3 H
I = 8 x 10-5 kg.m2
Where I includes the inertia of the armature and that of the load investigate the effect of the damping constant c on the motor's characteristic roots and on its response to a step voltage input. Use the following values of c (in N.m.s/rad): c = 0,c = 0.01, and c = 0.1. For each case, estimate how long the motor's speed will take to become constant, and discuss whether or not the speed will oscillate before it becomes constant.