The parameter values for a certain armature$-$controlled motor are KT $=$ K$,=0.05$ N $$ m$/$A$,$ Ra $=0.6$ Q$,$ La $=0.003$ H$,1=0.00005$ kg $$ m$2$ 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 $=0\mathrm{.}1.$ 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.