Where i was going with this is:
Forward direction into face direction by wedge:
>> At start forces thicker hinge with faux load added to tree force forward
>> As folds /lifts off of wedge , extra wedge force relieved so back to tree load only
>> BUT w/thicker hinge than get w/o wedge
Hinge is...
Overwhelming force judiciously applied, especially with heavy equipment, 'gentle giant'.
Part of this can come from showing math.
In heavy equipment pull, rope can become fusible/over loadable link, that you don't want to blow out.
Should also be able, at least on occasion, 'tune' and true...
Backleaner to me takes the CoG uphill to over hinge pivot as peak, then splash down on other side.
Takes some thinner hinge and more open face to allow the greater rotation
Usually deeper face as can to put hinge pivot as far as possible under CoG to give CoG least leverage against possible.
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i...
Slicing down the math, see portion of tree weight to target
>>across thin axis of hinge as loaded axis, so is the single dimension of cosine
>>then some to side of unique cosine axis, so is the sine (as the non of cosine)
We only worry about side force, as other wants to go home>>if no backlean...
In any force system, 'directionality' is of MAJOR importance to me.
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i think in center balanced tree to face, any would wedge or pull simply forward squarely to face.
But with sideLean, how do you plot on the chessboard the direction of the TEMPORARY (to rest of tree arc on hinge into face)...
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