The elevator cab shown below has a weight of $11,000lb.$ Motor $F$ raises and lowers the elevator cab at a constant speed using the pulley system ABCDE, as shown. You may ignore the weight of all parts except the elevator cab.

Using reasonable assumptions, draw the following free$-$body diagrams. Ensure the free$-$body diagrams are consistent among one another and use consistent labeling of forces, Ignore the weight of the pulleys and cables.

The elevator cab with pulleys A and $B,$ and all attached cables.

Pulley $C$

Pulley $D$

The beam $G$ with attachment $E,$ pulley $D,$ and motor $F$