A shaft shown in the figure is rotaled by an electrical motor where $P_{\text{o}\text{w}\text{e}\text{r}}=12kw,$ speed is $n=763rpm.$ This power is taken away at A with torque $T_1$ and at $C$ with torgue $T_2.$ LAt the locations, there are lateral forces as:

$T_1=\frac{1}{3}{T}_m,P_1=1500N$;$T_2=\frac{2}{3}{T}_m,P_2=750N$

where $T_m$ is motor torque.

$($a$)$ Find $T_m,T_1,T_2.$

$($b$)$ Find support reactions at $B$ and $D.$ Assume no lateral connection force on the shaft at motor at $E.$

$($c$)$ Draw bending moment and torque diagmms from $A+a.$