Gear $\backslash ($ B $\backslash )$ receives power from another gear with the transmitted force $\backslash ($ F$\_\{$B$\}\backslash )$ applied at the $25$pressure angle as shown. The power is transmitted through the shaft and delivered through V belt pulley through a shaft of $140$ mm diameter shown.

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

$($b$)$ At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.