When pulling the tails in this situation, the tails will actually hold the coils open. You have to pull the tails vertically to have any chance of closening.
The primary part that I see holding the coil open is the tension on the portion of the rope highlighted in yellow in the attached image.
Which can be referred to as the "
coil-stabilizing strand".
It's possible that some improved behavior attaches to slight changes
in the overall structure, in either of two ways:
Anchor Eye Side : fix the structure w/
cow/girth hitch at the left side
(as shown here), so that the eye-knot's strand is fixed, not turning,
around that ring
EyeTail : have the stabilizing strand be from the eye-knot's
tail (and the eye-knot's S.Part is anchored, or runs around some
object to form the opposing eye/ring sheave).
Consider how the forces arise:
1) tail is hauled away from the eye's coil --
(1) unit force ;
2) given friction, perhaps only 0.5 applied force obtains
in the continuation of the tail through the coil to the right
ring;
3) so the eye strand has about 1.5 force upon it;
4) of which some lesser portion survives the turn around
the left ring --about 1 unit (0.66 x 1.6),
which is a boost over what would be coming to it from
the right ring (0.66 x 0.5), but that should nearly hold
(the 0.5 vs. 1.0 : friction enables the balance).
Whereas with the first structure, the
stabilizing strand gets
no force from the left, so only the 0.6n x 0.6 surviving the
turn 'round the right ring, and thus is
more readily deformed,
enabling better turNipping ?!
- - - - - - - -
Working with structures that involve combinations of these
sorts of "two-to-one" mechanical-advantage structures can
lead to surprises, as some parts don't move as expected and
parts go WAY slack while others shift unexpectedly --and maybe
much is "YMMV" depending upon materials (smooth steel rings
vs. rusty vs. cordage sheaves; smooth flexible vs. firmer rough
cordage; ...).
I just collected on a bike ride some white, hard-ish fibrillated
PP (PE?) white twine --hard-firm as in not wanting to *bend*
so much as *kink/sharply fold". I played around with some of
these binding structures trying to bind a coil of moderately firm
poly-Dac 3/8" rope (of maybe 18 coils?, x 2 (i.e., binding from
the outer sides the long oval of coiled rope)). The
Gleipnirperformed well, even though showing some slack on tensioning.
The #35 did well, even with both ends
slipped --i.e., when
finished with slip-bights (so, 4 diameters through the coil (single).
And ... then came a *new* knot, as I sought to answer the rope
problem
How to efficiently bind a collection of branches?--or so I think, on first impression. (I was getting concerned that
some need to haul one's stock of binding twine through a coil
would not be all so easy/time-efficient.)
Somewhere, I have some other variation(s) on this theme.--out in some vegetable patch.
By the time you will finally decide to present them to us mortals, along with your ...
Really? The structure you started this thread with was presented by me
on 2009... --nearly TWO YEARS AGO. What difference did that make?
Where were your electrons, then?
That post --no ghost-- can still be found,
and has been referred to above; its electrons yet function.
--dl*
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