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Tackles -Rove to Advantage/Disadvantage


Island Time

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The last block is no longer providing a 1:1 advantage - in this case not giving a 3:1 MA that it would have if the haul was parallel. 

Easy way to work it is that the last turn is Cos 45 (or whatever your angle is) - in this case COS 45 = .71, so the total purchase in this example is 2.71:1. The loads on the lines are 10/2.71 or around 3.7 KGs. Of course they would be 3 1/3 KG with the 3:1 tackle.

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Ahh yes. I see that now.

So if the angle goes all the way to 90 deg (cos 90 = 0) you get back to a 2:1 ratio. And if you go even further to 180 deg (cos 180 = -1) you have 1:1, because you are actually back at configuration 1.

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Pretty close IT - here's my exact solution by hand calc - apologies for the hand writing - don't do this much any more.  Was going to do a time-varying large-displacement geometric non-linear analysis to show you how it moves from point a to b but that would just be too nerdy and I'd have to introduce another assumption to cheat my analysis software (all that is long handed for can't be arsed!)

20150413170756.pdf

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