ENGR $220$: Statics

Problem #$6(15$ points$)$

A heavy door is used to seal a furnace. The door's weight of $100$ lb acts through point G located at the center of the $18$ in by $18$ in door. The door is rigidly attached to two L$-$shaped brackets that extend to C and D $.$ Bearings at C and D connect the door to a vertical rod.

Assume there is no axial thrust load supported at either bearing. Since the bearings do not support any vertical load, a cable AB is attached to the corner of the door at A to support the weight.

$(5)$ a$)$ Draw and name all the forces acting on the door$/$bracket assembly. $($You may draw on the figure provided$)$

$(10)$ b$)$ Determine the tension in cable AB to hold the door in equilibrium. $($Note: Think carefully about which equations you want to write to avoid making this problem unnecessarily long.$)$

Look carefully at the figure. Cable AB is NOT in the xz plane.