Problem # $4(25$ pts$)($open ended$)$

The shaft $AB$ transmits power to shaft $CD$ through a set of bevel gears. The contact force on the

pinion of the shaft $AB$ is determined to be $(250i+750j-1000k)N,$ as shown on the free body

diagram with respect to cartesian system $(x,y,z.$

The bearing assembly is required to operate at $800rpm$ for $3000$ hours and $90\%$ reliability. A pair

of single row $02-$series angular$-$contact ball bearing having a bore size compatible with the shaft

diameter is available in the inventory.

a$.$ Draw two free body diagrams for planes $xy$ and $xz$ and find the loads on bearings A and $B.$

b$.$ Which of the bearings A or B is taking the thrust force? What mounting is advised here?

c$.$ Verify if the available bearings are suitable for the application by checking the procedure of

selection is applied properly using data in table $11-2$ and following the operating conditions.