A $120-$V$,1//4-$hp$,60-$Hz$,$ four$-$pole, split$-$phase induction motor has the following impedances: $\{$:$[$R$\_(1)=2\mathrm{.}00$ Omega,X$\_(1)=2\mathrm{.}56$ Omega,X$\_($M$)=60\mathrm{.}5$ Omega$],[$R$\_(2)=2\mathrm{.}80$ Omega,X$\_(2)=2\mathrm{.}56$ Omega,$]$:$\}$ At a slip of $0\mathrm{.}05,$ the motor's rotational losses are $51$ W $.$ The rotational losses may be assumed constant over the normal operating range of the motor. If the slip is $0\mathrm{.}05,$ find the following quantities for this motor: $($a$)$ Input power $($b$)$ Air$-$gap power $($c$)$ P$\_("$conv $")($d$)$ P$\_("$out $")($e$)$ tau$\_("$ind $")($f$)$ tau$\_("$load $")($g$)$ Overall motor efficiency $($h$)$ Stator power factor