I absolutely agree that the length of the vang tackle is a problem, and I knew as I wrote it that my "collapse span" was a fallacy ... just figured it was already complicated enough to visualize the lifting potential. One easy solution is to reduce purchase ... but if we agree on the potential, then it's valuable or important enough to work on solving those problems. Later for that. (Realistically, part of this answer is that the lift probably needs be only 30 inches to get MOB's "cheeks" over the transom).
Regarding backstay sag, it's essentially nil. The MOB will pull the backstay taut as he's scraped across the transom (only half comical). There's surely no appreciable bend in the mast.
Regarding the calculation of compound purchase ... this stuff always confuses me, and I think I must change my earlier 12:1 estimate. Let's make some assumptions, just for grins.
Assume the triangle is an equilateral six feet .... I think that's close to accurate. Also assume that the backstay tabs are 3 feet above water line, so we've placed the top-center block at ~8 feet, which is plenty of height.
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IIRC, height of 'this' triangle is the sq.root of
(6 squared) minus (3 squared) = about 5 feet.My tackle was six feet long, and included 4 strings. So by collapsing it I've pulled 24 feet through the tackle in order to erase six feet from the stb side. Those six feet (erased) are now allocated over four reaches to aft quarters ... meaning each of the four lines are now shorter by 1.5 feet. (Take 4 lines of six feet, eliminate one and reallocate, now there are 4 lines totaling 18 feet, or 4.5' in each line).
The total pull of 24 tackle-feet thru the vang actually delivered only 1.5 feet of lift - I think that it's actually 16:1.
Maybe? ... maybe not? I think maybe yes.


