Question $1$

An $02-$series single$-$row deep$-$groove ball bearing with a $30-$mm bore $($see Tables $11-1$ and $11-2$ for specifications$)$ is required for the pulley shaft system shown with an axial load $\frac{F^x}{c}=352\mathrm{.}5lbf.$ The inner ring rotates at $400re\frac{v}{m}in.$

$($a$)$ Determine the equivalent radial load that will be experienced by this particular bearing $C.$

$($b$)$ Determine the predicted life $($in revolutions$)$ that this bearing could be expected to give in this application with a $99$ percent reliability.

STEPS

Draw the free body diagram

Reaction Forces

Resultant radial load at C

Equivalent radial load

Predicted life