i guess that upgrades my terminology of "first flexxing of hinge"!
But i think that none the less an important moment. The changing form standing to moving. i think that all the line pull before is pretty much a waste, save to stand ready to force the hinge stronger at that point in time. If no stall, i think line pulls after this moment weaken/speed hinge movement/support. i think this is a way that wedgeing to same direction can be more helpful, as it pushes to this moment, then stops (for tree lifts off wedge and push stops).
Of course at the notch (face) i think is actually at hinge. Within hinge i think that the support of the tensioned fibers x leveraged distance from pivot will equal the leveraged force of tree and your line pull. That is the tensioned/stretched/pulling fiber area of hinge matching the loading. But then the compressed portion of hinge(across the sea of Stumper's neutral fibers), acting as central pivot balancer for the leveraged load (tree and line pull) vs. the support (stretched fibers in hinge) to inherit the down pulls of each, but not side pulls of each(?); given any lean.
So if we said by way of example that all pulls were down, not forward or to the left etc.; it could be said that the hinge loading was 3x of that of the {existing tree leverage + line pull leverage}. For the strethed hinge fibers would have to match the loading to stand still under load, there must be this balance, movement comes at the upsetting of this balance, as tree will seek to be lazy and find another balanced, resting point. The compressed part of hinge would bear the weight of both legs of pull to it (load and support) like it was a pulley in the center of 2 balanced pulls. But....
Enter next variable... Due to the fact, that the CG of the tree, and the line pull having more leveraged distance to the compressed pivot of fiber than the counterbalancing/equivalent support (pull of tensioned fibers); the stretched fibers must have many times more pull to make up for less leverraged distance across stump than to height of line and CG. So, i think that places many more X the force in hinge; the hinge not getting enough credit, as the matching proposed previously is only an approximation of 1/2 of the compressed region of hinge's work it does.
So the compressed portion still has 2x the downward pulls of leverage from lean and line, the stretched fibers have to have more power of resistance to balance against lean and line making compressed patchof fibers inherit the downpulls of both. :: Due to less leveraed multiplier on support side of equality than the load side, the stretched fibers must make up for the loss of the multiplier in higher pulling power than load side i would think.
We ask much from this wooden machine! So much that the hinge is a single use machine (generally) that is used till shorn and discarded giving all it could to the point of it's own demise.
Or something like that
(work in progress)
:alien: