Linear is easier to predict and understand, and more in the terms we intuitively expect, even when looking at radial.
Radial anything has surprises by comparison; the Ancients tried to highlight this key point to survive this long to us.
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In theory, a larger radial is easier arc on the rope, and less heat concentration from frictions; perhaps even dial in frictions more precisely in partial arcs?
But very counter-intuitively the frictions are calc'd by degrees and compound per 180 degree 'stroke'(like stroke in engine terminology in my imagery) in their calculations.
source: International Technical Rescue Symposium (1999) The Mechanics of Friction in Rope Rescue by Stephen W. Attaway, Ph.D. Presents math theory handed down for compounding the frictions w/math comparable to compounding interest. Linear friction rating between the 2 materials, amount of 180degree arc units, xTension are all factors from the rope used to calc also w/PI.
The body of study is even called the capstan theory; i take it as close as can, if not spot on.
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In contrast to linear frictions calc by distance more intuitively, more simple, scalar of multiplication, pre-geometry type math , that just stack as expected w/o compounding. The above 16page paper 1st 2 pages shows a cement block pushed across flat surface on different sides etc. for linear frictions example. Then delves later into bollard/capstan even collective rack and around obstacle path as radial friction examples by contrast. Can duck heavy Greek symbols if like and come up again for air page_5 where they thin, and well into ropeBrake by page_7.
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Linear or radial frictions is a choice with differences, just as radial or linear force input, linear or arc bridge/doorway/roof, linear or radial nip; even in basic drawing tools linear or radial. In each the geometry is more naturally self maximizing thru the usage of full organic radial instead of simple linear. Our mind works more like linear scalar progression and expects same, even in radials; but it is a different kind of mechanic.
The eye needs retrained.
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