Glens-i guess i fail to see where if you have the same pattern, that how the rope knows how it is mounted and to what beyond the assumed pattern
?
Stumper-i think the pattern is the same, in each case the line is tensioned to the 100# (If B 'load' weighs 100#); that sets the line tension in A to 100#; to run the same pattern of the Jay hook; assuming the coveneant of the arc power, if ye will.
i think, if in C(line looped over top of slingshot/tree tied off to own base and pulled on other leg) had a hardened foam material that you needed to crush, and only had own body wieght as power source, there would be a point where the line would crush it as a 2/1 where your body weight on top wouldn't? Assuming ZeroFriction, ZeroLineAngle, Equal footprint of pressure on foam between the 2 methods.
i don't think anchoring to self matters; i think the foam would be 2/1 crushed by the line whether the end was anchored to itself or another anchor. i don't think the line cares! Then, just becuase the line isn't crushing the tree with out the foam, does not mean that the line isn't loaded, just that the tree can well ressit the force, but it still exists.
So, kind sirs; i offer another view, an explantaion to the free hanging piece perhaps having 2x at the Jay hook as any other system it resembles. Where does that extra 100# come form, how can it be there without lifting?