$1)$ A $440V60-hp$ six pole $60hz$ connected induction motor has the following parameters

$R1=0\mathrm{.}058,R2=0\mathrm{.}037,xm=9\mathrm{.}24$

$x1=0\mathrm{.}32,x2=0\mathrm{.}386$

$P_{\text{c}\text{o}\text{r}\text{e}}=700W,P_{FRW}=550W$

Use the Thevenin's Equivalent circuit concept to Find:

$($a$)$Vth and BtK $Z_{th}$

$($b$)$ The slip at which maximum torque occurs

$($c$)$ the value of Max$/$pullout Torques

$($d$)$ The starting torque.