$11-36$ A gear$-$reduction unit uses the countershaft depicted in the figure. Find the two bear$-$

ing reactions. The bearings are to be angular$-$contact ball bearings, having a desired

life of $50$ kh when used at $300re\frac{v}{m}in.$ Use $1\mathrm{.}2$ for the application factor and a reli$-$

ability goal for the bearing pair of $0\mathrm{.}96,$ assuming distribution data from manufacturer

$2$ in Table $11-6.$ Select the bearings from Table $11-2.$

Problem $11-36$

Dimensions in inches.