$11-36$ A gear$-$reduction unit uses the countershaft depicted in the figure. Find the two bearing reactions. The bearings are to be angular$-$contact ball bearings, having a desired $0\mathrm{.}98$ life of $50$ kh when used at $\backslash (300\backslash$mathrm$\{$rev$\}/\backslash$mathrm$\{$min$\}\backslash ).$ Use $1\mathrm{.}2$ for the application factor and a reliability goal for the bearing pair of $\backslash (\backslash$mathbf$\{6\}\backslash ),$ accuming$\_$dictribution$\_$data from manufacturer

Q$1.$ Which bearing, O or C$,$

Select the bearings from Table $11-2.$ Assume manufacturer's rating life of $\backslash ($ L$\_\{$R$\}=10^\{6\}\backslash )$ cycles carries the larger radial load?

Q$2.$ Design the more critical bearing assuming that it takes all the axial load as well.

Problem $11-36$ Dimensions in inches.

Gear $4,12$ dia.

Assume axial force of $110$ lbs on gear A as shown.