A one piece, solid stoel gear $+$ shaff component is being loaded by a gear tooth force, $F_T,$ as shown

with the dimensions in the diagram below. This gear shtalt is being supported at each end $($ A and B

with a ball bearing. A moment load at point B reacts the goar toeth force $F_F.$ Ignore the thickness of

the gear blank $($disc$).$ The material is dactile, high strength steel with a Yield Strength of $100$ ksi $.$

Find: The factor of safoty at goar C$.$

Scherratic Diagram $-$ Not to Scale