$(45$ PTS$)$ Given the figure shown. The $\backslash ($ A $\backslash )$ is a journal bearing and $\backslash ($ B $\backslash )$ is a thrust bearing. The journal bearing and thrust bearing are properly aligned. The lid weight $100$ kN

a$.$ Draw the complete free body diagram of the assembly.

b$.$ Express the tension in cable CD as a Cartesian vector.

c$.$ Determine the moments created by the $100$ kN force and the tension in the cable about point $\backslash ($ B $\backslash ).$

d$.$ Determine the six equations of equilibrium for this system and solve for the reaction forces in the bearings at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ and the tension in the cable.

ENME $110$ Final