The gear reduction unit below uses the countershaft. Gear A receives power from another gear with the transmitted force $\backslash ($ F$\_\{\backslash$mathrm$\{$A$\}\}\backslash )$ applied at the $\backslash (25^\{\backslash$circ$\}\backslash )$ pressure angle as shown. The power is transmitted through the shaft and delivered by gear B through a transmitted force $\backslash ($ F$\_\{\backslash$mathrm$\{$B$\}\}\backslash )$ at the pressure angle shown.

$($a$)$ Determine the force $\backslash ($ F$\_\{\backslash$mathrm$\{$B$\}\}\backslash ),$ assuming the shaft is running at a constant speed. $(1$ Point$)$

$($b$)$ Draw shear$-$force and bending$-$moment diagrams for the shaft with all the details. $(4$ Points$)$

$($c$)$ At the point of maximum bending moment, determine the bending stress and the torsional shear stress. $(3$ Points$)$