$(20$ pts$)$ A gear reduction unit uses the shaft shown. Gear A receives power from another gear with the

transmitted force F$\_($A$)$ applied at the $20\backslash$deg pressure angle shown. The power is transmitted through the

shaft and delivered through gear B through a

transmitted force F$\_($B$)$ at the $25\backslash$deg S$\_($ut$)=440$MPa,S$\_($y$)=370$MPa T$=11000$Ncos$(20\backslash$deg $)((0\mathrm{.}60($m$))/(2))=3101$N$*$m$.$