i think best to start that on super tight line, to the greater frictions mentioned.
>>or get dead drop to the frictional control
On long horizontal this might be self tightening by allowing load to drift down on hinge,
against tight rope to tighten rope more.
>>this takes not a butt tie, but closer to CoG.
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i think mechanically, pivot is most loaded part.
That is usually hinge before tearoff and rope hitch point after.
w/impact of shock at the interchange.
Also accentuated by any continuing, now faster rotation of load to vertical
>>so rotating down to pretighten w/hitch near CoG on longer horizontal model
>>gives less shock downward and from almost complete rotation
>>AND length between hinge and hitch becomes ballast so that more butterflies than slams to vertical
As we do this, we can get the pivotal change BEFORE tearoff
So that instead of rope being light helper and hinge handling load
load is now light on hinge and rope hitch is pivot GAME CHANGER.
less impact of change at tearoff.
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Also, if rope is angled, or has prussik swig line
(best if goes up over a low friction branch then to load rope so meets at more perpendicular angle for sweat/swig if hard to get that angle from ground)
The super tight rope, is now a ballast against the load down so load more floats on rope
>>both forces eliminate each other from formulae and leaves tight rope at angle (and/or swig)
If load is pressing down to tension rope to 400# and rope angle is to 12:01 clock minute hand angle is 40# sideways, 12:02 is 80# sideways on hinge, 12:03 120# pulling sideways on hinge to steer load. Pattern pretty faith full to almost mid way point 7.5mins @45 degrees puts 70 not 75%, very accurate to 5 mins. angle = 50% .
If the laod itself pushes down 400#, the numbers are greater as the rope is less and less efficient column of support and that raises the line tension that calc percents on.
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Another way to go is the tangent scale it falls on each minute at 11%,22%,33%,44%,55% (end of accuracy) with the minutes. so 400 downward on rope @ 1 minute angle gives 44# sideways, @ 2 minute angle gives 88# sideways etc. Cant prove it but i think pattern found is (perhaps purposefully put) from Babylonians as one of first PI users , maker of 360 circle, maker of 12hr time, of 60 minutes to match their base 60 math. More to that pattern but that is the main theme i see. But in any case my rules of thumb have served me well, and are most accurate (to about 1%) in the '1st hr' (mins. 1-5) on clock, that i used most. And can be flipped around to show 2-3oclock range, so just thumbrule just doesn't cover midrange of 1-2o'clock. But this is range of most moderate and matching changes anyway, and least used in this type of work.
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Once have code key, everything reads different, and everything teaches you as now on same page.
