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Problem $11\mathrm{.}036-$ Selection of a bearing for a shaft design

A gear$-$reduction unit uses the countershaft depicted in the figure. The bearings are to be angular$-$contact ball bearings, having a desired life of $54$ kh when used at $450re\frac{v}{m}in.$ Use $1\mathrm{.}2$ for the application factor and a reliability goal for the bearing pair of $0\mathrm{.}990,$ assuming distribution data from manufacturer $2$ in Table $11-6.$ Select the bearings from Table $11-2.$

Problem $11\mathrm{.}036.$b $-$ Calculation of basic load rating

Determine the $C_{10}$ value for each bearing.

The value of $C_{10}$ at $O$ is $$ kN$.($Round the final answer to three decimal places.$)$

The value of $C_{10}$ at $C$ is $$ kN