The Picture Frame
We just acquired a large picture (this if you must know) and the hanging arrangement brought my mind back to the old Stress Analysis course I took eons ago. And so I will share the puzzle with you.

Consider the following:


The usual way of hanging a picture is to have a hook (A) on the wall, and posts (B) and (C) on the frame. A wire is securely attached to B, runs over A, and is securely attached to C. Assume the vertical coordinates of B and C are y=0.85 (with x=0 and 1, respectively) and A is at (x=0.5,y=1). In that arrangement, B and C bear the full weight of the picture (assume Wt=1).

Question 1: What is the tension in the wire in this "usual configuration"?
Question 2: What are the vertical and horizontal components of force exerted on posts (B) and (C)?

This painting actually had a different configuration, however. The posts (B) and (C) were simply pass-throughs (assume frictionless pulleys) for the wire continuing on, being solidly anchored at (D) with coordinates (x=0.5,y=0).

Question 3: Same as Q1 for this configuration
Question 4: Same as Q2 for this configuration
Question 5: What are the vertical and horizontal components of force exerted on the anchor (D)?

Extra credit: Assume the new configuration was developed as an improvement over the standard config. Comment on the extent of their success.