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  1. #51
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    Quote Originally Posted by acetyl-CoA View Post
    On a slightly more esoteric note: 83 = HC = Happy Camper, Hammock Camper, Hard Core

    I hope I added some clarity there
    Egads! First trigonometry and physics, and now numerology?!

  2. #52
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    For those of you who consider 9.2 oz of smart phone an essential element of your trappin's, there are a gob of angle apps. Doesn't solve the math but it will tell you when you have 30 degrees.

  3. #53
    New Member Swiggin Squirrel's Avatar
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    Origins of 83.333% [5/6?] guide

    what in heaven's name are you talking about? does this have anything to do with hammocks?

  4. #54
    Senior Member P-Dub's Avatar
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    yes.



    .

    .

  5. #55
    Senior Member jadekayak's Avatar
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    Yes,it is relavant but its still easier to just hang the hammock and adjust to suit comfort

  6. #56
    Senior Member DemostiX's Avatar
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    There's a coincidence of the recommended 3Odegree hang angle, the recommended length of the hung hammock compared to the total length, and natural optimal packing, as in the hexagonal honeycomb chamber.
    I was interested in a possible mathematical basis an engineer or biologist might know.

    Since we're all different shapes, YMMV, but it is surprising that for most the 30 degree and 5/6 rule is so close to optimal.

  7. #57
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    When calculating the tension in the suspension, 30° makes the maths very easy and mean each rope experience a force equal to the weight is the hanger.

    Sent from my 401SO using Tapatalk

  8. #58
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    Quote Originally Posted by GrizzlyAdams View Post
    which the quick-witted but never-the-less kind among the gentle readership here have not pointed out. The blunder-headed mistake.

    For you see, the slope of the line at 30 degrees is not PI/6, it is of course the length of the opposite side of the triangle over the length of the adjacent side, known in the biz as "tangent". Substituting tan(PI/6) in the equations where once PI/6 stood as an object lesson in the wisdom of not posting hastily, and re-doing the calculations gives the ratio of interest as....wait for it....
    0.83 with some other digits that aren't 33333, but I'm doing numerical integration here, and probably more to the point, the parabola ain't a catenary curve.

    someone 'round here good at Mathematica?
    Would the maths be simpler if you consider the cat curve to be a section of a larger circle and the straight line length the cord intersecting the larger circle with a tangential angle of 30°? Give me a few minutes at work (when I get a free period tomorrow) and I'll go through this theory. If a none has more free time or is more polished on circle geometry and cords.



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  9. #59
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    I'd wager the 30° angle is due to the simple weight call it leads to.

    At 30° the tension in EACH suspension arm is euqal to the weight in the hammock, a 200lbs hammock means each arm of the suspension experience a tension of 200lbs.

    Sent from my 401SO using Tapatalk

  10. #60
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    Found this Thread to be quite interesting. After reading all the math and looking at all the calculations, I think I like Chems answer for the 83%. I think the end goal is the angle created between the end of the hammock and the "flat bed" one creates once in the hammock.
    I think by having a ridgeline that is 5/6 the hammock length you get a flat bed that is up to 5/6 the hammocks length with the extra 1/6 of material allowing for the angle down to that bed while not putting so much stress as to overcome the "flat lay". Won't that angle always be the same regardless of "bed" length up until you surpass ridgeline length?

    Sorry I loved this thread and had to throw in my 2 cents

    Badweissenbier
    Last edited by Badweissenbier; 09-29-2017 at 09:01. Reason: spelling error

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