Q$-1$ The figure shown is a geared countershaft with an overhanging pinion at $C.$ Select an angularcontact ball bearing from Table $11-2$ for mounting at $O$ and a straight roller bearing from Table $11-3$ for mounting at $B.$ The force on gear $A$ is $F_A=2\mathrm{.}7kN,$ and the shaft is to run at a speed of $920re\frac{v}{m}in.$ Solution of the statics problem gives force of bearings against the shaft at $O$ as

$R_O=-1\mathrm{.}72j+2\mathrm{.}08klbf,$ and at $B$ as $,R_B=1\mathrm{.}4j-7\mathrm{.}2kkN.$

a$)$ Specify the bearings required, using an application factor of $1\mathrm{.}2,$ a desired life of $15$ kh $,$ and a combined reliability goal of $0\mathrm{.}99.$

$[35$ pts$.]$

a$)$ Determine the resulting overall reliability for the assigned bearing set.

$[15$ pts$.]$

b$)$

Dimensions in inches to be converted to mm by taking $1[inch]=25\mathrm{.}4[mm]$ for SI solutions.