A shaft is supported as shown below with the dimensions as shown. A motor shaft rotates at a constant torque T$-600$ in$-$Ib$.$ The pressure angle of the gear attached at point G is $20$ degrees and the gear is $10$ inches in diameter. The shaft is steel with Sa $-100$ ksi and Sy $-60$ ksi. The bearings are self$-$aligning with a well$-$rounded fillet $($r$/$d$-0\mathrm{.}1)$ and act as simply supporting. The surf$$ce of the shaft is machined. Dimensions are: a $-3\mathrm{.}5$ inches, b$=7$ inches, $1-12$ inches