Problem $3)$ Figure $3$ shows a spur$-$gear train driven by an electric motor. The gears have $\backslash (\backslash$mathrm$\{$P$\}=\backslash )8$ and $\backslash (\backslash$phi$=20^\{\backslash$circ$\}\backslash ).$ The input gear $($pinion$)$ has $16$ teeth, the intermediate gear $($idler$)$ has $32$ teeth, and the output gear has $24$ teeth. The shafts are mounted on grounded bearings. Determine the following:

A$.$ Find the angular velocity and torque of each gear.

B$.$ Identify the net forces on each shaft at the gear due to tangential and radial forces in the gears.

Figure $3.$