Problem No$.3$: $(49$ points$)$

A small boom crane is being used in the shop to move large electric motors. A much larger motor

with a mass of $350$ kg now has to be moved, and the boss wants you to prove that the boom will

have at least a factor of safety of $3\mathrm{.}0$ beyond the static stresses in beam ABC. The boom's material

is hot rolled carbon steel with a yield strength of $200$ MPa $.$

Find: The factor of safety of boom ABC $.$ Do you recommend to the boss that this existing boom be

used to move the new $350$ kg motor?