$2.$ A gearset $($the pressure angle $\backslash (14\mathrm{.}5^\{\backslash$circ$\}\backslash ))$ of spur gears is operating on the two parallel shafts as shown Figure P$2($a$).$ On Gear $1,$ an input torque T$=12$ lb$-$in is applied through its shaft. Due to the resistance torque applied to Gear $2,$ the gearset is operating at a constant speed. The pitch diameters of Gear $1$ and $2$ are $2$ in and $3$ in$,$ respectively. The two shafts are supported by bearings $($denoted by triangles in Figure P$2($a$)).$ The specific location of Gear $2$ and the bearings on Shaft $2$ is shown in Figure P$2($b$).$ Ignore friction and gravity.

Find the supporting force vectors from Bearing L and Bearing R to Shaft $2.$ Present the force vectors in the form of $\backslash (\backslash$left$($f$\_\{\backslash$mathrm$\{$x$\}\},\backslash$mathrm$\{$f$\}\_\{\backslash$mathrm$\{$v$\}\}\backslash$right$)\backslash ).$