$8\mathrm{.}48$ Figure P$8\mathrm{.}47$ shows a helical gear having a $250-mm$ diameter that is mounted on the overhum end of a shaft, $50$ mm from the nearest bearing. The load on the helical gear is $F_t=2000N{F}_r=750N,$ and $F_a=500N.$

$($a$)$ Calculate the shaft torque due to each force.

$($b$)$ Calculate the bending moment on the overhung shaft at the nearer bearing due to each force,

$($c$)$ Calculate the total or resultant bending moment on the shaft at the nearer bearing.

E P$8\mathrm{.}47$