$1.$ Consider a Permanent Magnet DC Motor with the following constants $($pay attention to units$)$Kt$=0\mathrm{.}12$ Nm$/$A$,$ Ke$=12$ V$/1000$ r$.$p$.$m$,$ Armature Resistance $=1\mathrm{.}5$ ohms, Applied Voltage$=10$VFind the following:$($a$)$ No load speed $(5$ points$)($b$)$ Stall current and Starting torque $(10$ points$)($c$)$ Maximum Power $(5$ points$)($d$)$ Suppose I connect the motor to a load of $0\mathrm{.}6$N$-$m$.$ What is the equilibrium speed and current consumed $($assuming no friction$)?(10$ points$)$