Determine the maximum pressure at the contact point between the outer race and a ball in the single$-$row ball bearing assembly shown. The ball diameter is $40$ mm ; the radius of the grooves, $22$ mm ; the diameter of the outer race, $250$ mm ; and the highest compressive force on the ball, $\backslash ($ F$=1\mathrm{.}8\backslash$mathrm$\{$kN$\}\backslash ).$ Take $\backslash ($ E$=200\backslash$mathrm$\{$GPa$\}\backslash )$ and $\backslash ($ v$=0\mathrm{.}3\backslash ).($Ans: $1039$ MPa$)$