i think,
The compressed part of the hinge is the actual common shared pivot as bench mark to all other force points measurements.
Try to see (in sound, solid, monolith unit) as if tree on hinge is weightless framework;
>>except for a cannon ball of weight called CoG, within framework perimeter
>>but not necessarily on the framework
>> i call it: CoG of horiz metal donut would be the hole rule, force as a ghost presence model here. Added inputs of rope/wedge must be on framework tho/ not ghost.
The distance and angle of the inputs: CoG, rope, wedge distances to shared pivot as leverages
>> battle thru framework to force directions values of the inputs.
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i prefer work the rope, wedge as anti-sitback safety sometimes.
Rope in higher leveraged position, but wedge is in a more rigid position
>> wedge face does also stays as a pure perpendicular input to tree base tho too
>> wedging is more sawyer distraction and tools at base.
Rope is less rigid input and position, but then can be used to flex wood to same spring, and also brace rear of tree if traced down back spine.
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Each force direction is of very large importance.
In E=mcSQUARED, it is dynamic velocity as the real game changer potential in contrast to the static force parts of CoG, wedge, rope.
So, i think in terms of falling(slower, more art and evac time)
>> vs. throwing(thinner hinge allowing faster movement) triggers by quick release
>> or sudden rope, wedge to weaker hinge so that force of motion (cSQUARED) as then a ruling force direction of even enough to punch thru 'distractions'.
My concern is directions of added inputs when side lean.
>> added force inputs to faced direction 'arm wrestle' hinge to thicker/stronger/earlier fold
>> vs. added forces across face against side lean that only manage side lean until rope/wedge relieves, then potentially impact back with side lean as a pulse of force.
If speed is invoked it can cSQUARED can trump side lean some.
The less speed invoked, the more static elements can reveal until committed speed achieved. Specifically crafting of hinge taper : anti-left, anti-right or anti-anti(neutral).
>> Triad of anti's as the pull more powerfully as challenged, pulled against, than if just there.
>> This triad assumes all hinges tapered, so binary of left or right choice
>> then too as other half of overlaying binary against assumption to add the non
>> to cover all instances, always treating Zer0 as a VALUE of balance, not just simple place holder (triad/ trinary view/model has ying-yang roots "Tao of Physics" -Fritjof Capra).
Added rope/wedge only usher against side lean until relieved, unless speed invoked to carry thru or imbue forces into hinge that can usher against side lean to close/tearoff.
In general, in good wood, i think all force forward to force better hinge, accentuated with taper , anti side force efforts wasted to this modeled view. But look to slower fall control is how I go.
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If use part of wedge/rope force against side lean , hinge less strong than if all force forward. Speed of throw during rope/wedge active can carry that direction thru less reliant on hinge build.
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Slow fall w/o so much 'throw'/speed; depends more on hinge, w/lower cSQUARED factor.
In either scenario unclean/stalling is bad, allowing changes and impacts smooth, clean motion does not.
Closing face side(s) (L,R,neutral/ full across triad again only later and to front) give another change, powered by speed of slap and face rigidities AND give sudden pivot(al) change to the works to then recalc leverages from the new common/shared point of pivot. Like bouncing a rubber ball off wall or ground, the more speed force in, the higher force returned.
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i view falling into lean as most direct, hardest hit, so side lean with Tapered Hinge control must be less as softer hit downward. For part of leveraged potential expressed and bound sideways, not fully down now. So 2 reasons not to fell directly into lean force: less ground concussion and PRACTICE. Doc Shigo showed harsh rainfall could upset sea of soil mychor etc. So, bucket truck and felling are not innocuous compressions either on that scale.
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Backleaner to me more of a draw CoG uphill over the pivot to TDC, to then more splash down to fall side. This is more true the steeper backlean, hinge can only be worked so much and dependant on species and condition.
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In neutral taper side lean works anti / Dent's offside harder, taper affords to do home more AND support angle maintained more as tree flows forward. When appreciable side leans handled w/ neutral hinge taper squarely to face, i kinda assume is faster throw style of less evac time.
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i face to direction of fall, not face over steering to serve to fail point between side force and facing directions as seen Tim Ard shows.
