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Rope puzzle

Discussion in 'General Discussion' started by 2scoops0406, 18 Jan 2009.

  1. Softus

    Softus

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    Roughly, assuming that the elephant's belly was pretty much circular.
     
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  3. tim west

    tim west

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    wouldnt it's trunk get in the way?
     
  4. Softus

    Softus

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    No - its trunk is already on the conveyor belt.
     
  5. blondini

    blondini

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    Thats not its trunk Tim :eek:
     
  6. blondini

    blondini

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    Uhoh. :oops:

    Circumfer... Circ... Circumdiameter!
     
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  8. Zampa

    Zampa

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    So we have the approximate equation
    1/3 x^3 + O(x^5) = 1/3 w^3
    => x^3 ( 1 + O(x^2) ) = w^3
    => x ( 1 + O(x^2) ) = w
    => x = w ( 1 + O(x^2) ) = w ( 1 + O(w^2) ) = w + O(w^3).
    Using more terms of the series of tan we get the relation

    2 2 29 4 14 6 8
    x = w ( 1 - -- x - ---- x - ---- x + O(x ) )
    15 1575 3375
    ____________
    3 / x^3 / 3
    = w \ / ------------
    \/ tan(x) - x

    x0 = w + O(w^3)
    x1 = w - 2/15 w^3 + O(w^5)
    x2 = w - 2/15 w^3 + 3/175 w^5 + O(w^7)
    . . .
    2 3 3 5 2 7 16 9 11
    x = w - -- w + --- w - ---- w - ------ w + O(w )
    15 175 1575 202125

    Therefore the equation 1 - sin(x)/x = d has the solution

    _____ 3 321 2 3197 3 445617 4 1766784699 5 6
    x = \/ 6 d ( 1 + -- d + ---- d + ------ d + -------- d + ------------ d + O(d ) )
    20 5600 112000 27596800 179379200000



    Piece of **** if you ask me..... :rolleyes:
     
  9. tim west

    tim west

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    Be honest Zampa, thats a made up equation isnt it and bears no relation whatsoever to the question :D
     
  10. peteftw

    peteftw

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    f*ck ya zampa, i fell for it. i can count money thats as far as my maths skills go :eek:
     
  11. Zampa

    Zampa

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    Only those in the know on here will know whether its made up or not...



    :evil:
     
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