Very sorry; just trying to keep up, but this is a passion.
This is all rope work to me, knot tying is just a set of rope mechanix,
all rope mechanix are different facetted examples of the same principles, all related examples of each other.
When i make a knot, i make a machine, just as these pulley systems; only they are dynamic/move like Trucker's, Poldo, Parbuckle etc.
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Very specifically, the whole definition of the last pic is that same pink rope of what trying to show as miracle game changer if can tap into the force pattern correctly..... The 2nd hand of the DUAL INPUT can be another person added pull, but is just the E&O force 'reflection' instead !
The system with a 1 hand pull in normal use would yield 5xCompress down or 4xLift up up to limit of bodyweight w/o other pulls.
>>Bodyweight hang does this as input at blue hand hang, for all that hand could pull anyway.
>>from that HANGING position if pull with red hand upward, autonomously must now also pull down matching amount on blue hand as E&O/ adding even more to bodyweight input essentially. So for compression down, the blue hand is at 5x input position and the red hand as it 3x input position for 8xEffort part. Just as cant pull up on same point stand on a scale, w/o scale increasing weight shown....
To the left of that last pic in top row post#15 is red hand insertion point of force alone for 3xCompress / 4x lift that still pulls on system same in last pic in that row w/pink rope giving system standard 5xCompress down or 4xLift up for effort and bodyweight as input point.
Collectively 8xEffort compress or lift + Bodyweight x (5xCompress down or 4xLift up).
Just as can't pull down on dynamic leg of DdRT to lift self w/o making self that much lighter autonomously for the 2/1 effect against own weight. Only here, make self heavier, not lighter as the secondary response from E&O. Other rope work just mechanical patters as well to me; or at least that is what i reach for.
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Increasing the input from single hand pull, to this system w/leg lift as input rather than arm pull, and that leg force IMPACTED in hard + added nominal bodyweight into the larger multipliers for compress or lift is the way to go, if can orchestrate it !
This can make much work easier, as more powerfully asserting rescue as well; both with same effort input
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Similarly see, simple reading correctly and then aligning to command as can rope parts to be best seen as simple patterns invoked, strung together as if in electrical schematic. Only rope is the separate utility parts and then fluidly linking device all in one. Physical space displacements and physical force displacements tracked/calc'd more by cosine, sine, frictions tools not volts, amps, resistances tools. But each just ported force thru specific utility principles/parts.
i kinda prefer not blindly setting of cosine/sine by vertical or horizontal tho in what we's do; as too static/not lending to setup/scenario as cleanly , simply and fluidly. Cosine so common place to me if walking /driving forward and someone is in my way, i think in terms of they are in my cosine; then same with rope example it's direction at any point as cosine in simpler model. To this model cosine is the work, and sine another co$t incurred to do same work; that can try to leverage a usable return utility from as well. Simply more deflection from pure align causes more work as less efficient, and also incurs sine. Kinda kid for mnemonic that cosine is to my cos(cause), and then sin(e) across also carried, that try to get return on also if can sometimes. Kinda even sounds political ! Or offer co(lum)sine (column of force or support response against) vs. sine as a reference mnemonic . Anyway, i set cosine as an initial benchmark specific to situation, at a Naturally occurring 1D reference of scenario, when can.
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i try to find a 1Dimensional reference axis in model/event to benchmark simpler cosine from to start(rather than static vert/horiz strictly), then it's non of sine is any other direction off that single dimension simple line/axis benchmarked. Breaking out to powerless outside own domain/dimension as intersects with another domain of a separate Dimension at 90 degrees influence across this benchmark line/cosine Zer0, but full sine in trade. Rope , just is no different(in this respect).
This cosine benchmark can be a linear force or linear support column against said force/load for the benchmark cosine; all the same, as are related to other just the same from either point of view, just do the easiest! This can be used as a parity/cross verification check to each other too.
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Simpler by linear device model:
Cosine, is simplest force of 1D(imension); like rope study!
So pulls along this rope line length are along the cosine, supporting load directly; down length of line/internal rope pipe.
Pulls across/away from pure rope line then are sine, that
may/if strong enough in correct direction allow seating to host yielding: friction, nips and in opposing multiples grips. opposing multiples would be sine vs. sine of opposing directions in ropeParts into host then, still more nominal effect.
So look at in this modelling : cosine as support and sine as tools to control (that support).
Separate utility functions support/control, empowered by separate sources: antagonists cosine and sine respectively.
This changes tho in magic of 180arc; then can use the major load imposed cosine AND the usual reflected lesser force sine for friction, nips, nominal grips(in extended force as cosine model) and in opposing multiples compounding grips as load controls. 180arc is a GAME CHANGER, even more so in multiples; especially the first 3x180 dimensionally on host.
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Radial vs Linear in force, structure, path etc. ALWAYS matter. If the conducting/transferring device/medium is round and linear force input, must calc cosine by linear force input then in model i think, not so much set cosine benchmark by round device:
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(link)A linear has angles of unequal forces, and so a singular , unique peak cosine; the round does not/has all equal force translation around(in force imposed or support against).
Would set Cosine to linear force direction; receiving coin on other side pure inline gets cosine 1.00x resultant force
>>if receiving coin is offset 6 degrees ( 1 minute on clock) from centerline of input cosine drop to ~.99x resultant potential on clock cosine quick calc try to show.
>>Get motion all the way around when touching other coin on opposing 180arc side of transfer coin; motion output reducing until Zer0 movement (from same input imposed/hit)only at 90 to either side of input force, @Zer0 cosine multiplier of the resultant force transfer potential...
Force pulse thru rope about same imagery; except using a tension only conductor/medium/device transferring the force volume pulse; and sine usable for or against as next step expansion of transfer principle to me.