The figure shown is a geared countershaft with an overhanging pinion at C$.$Select an angular$-$contact ball bearing fromTable $11$~$2$ for mounting atO and an $02-$series cylindrical roller bearing fromTable $11-3$ formounting at B$.$ The force on gear A is Fa $=2688$ N$,$ and the shaft is torun at a speed of $420$ rev$/$min$,$ Solution of the statics problem gives forceof bearings against the shaft at O as Ro $=1733\mathrm{.}8$j $+2092\mathrm{.}2$k N$,$ andat Bas Re $=1415\mathrm{.}7$j $-7235\mathrm{.}2$k N$.$ Specify the bearings required, usingan application factor of $1\mathrm{.}2,$ a desired life of $40$ kl$,$ and a combined reliability goal of $0\mathrm{.}95,$ assuming distribution data from manufacturer $2$ inTable $11-6.$