Problem $1$: The parameter values for a certain armature$-$controlled motor are KT $=$ Kb $=0\mathrm{.}3$ N$$ m$/$A $,$ c $=0\mathrm{.}0005$ N$$m$$s$/$rad $,$ Ra $=1\mathrm{.}2.$ The manufacturer$$s data states that the motor$$s maximum speed is $3500$ rpm$,$ and the maximum armature current it can withstand without demagnetizing is $40$ A$.$ Compute the no$-$load speed, the noload current, and the stall torque. Determine whether the motor can be used with an applied voltage of Va $=20$ V$.$