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Math Help - What is a Cyclonical curve?

  1. #1
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    What is a Cyclonical curve?

    Hi everyone,

    Recently in a problem I encountered the word cyclonical curve. Do you have any idea what this is? One of the ideas that I thought of is a cyclone can be approximated to a spiral. But then there are many different kind of spirals.......

    Thanks for your help.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Sudharaka View Post
    Hi everyone,

    Recently in a problem I encountered the word cyclonical curve. Do you have any idea what this is? One of the ideas that I thought of is a cyclone can be approximated to a spiral. But then there are many different kind of spirals.......

    Thanks for your help.
    Cyclonical - pertaining to a cyclone, so in this case a curve that spirals (inward if direction has a sense)

    Is there more context available?

    CB
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  3. #3
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    Quote Originally Posted by CaptainBlack View Post
    Cyclonical - pertaining to a cyclone, so in this case a curve that spirals (inward if direction has a sense)

    Is there more context available?

    CB
    Yes. The question is,

    "A uniform string of weight W rests on a rough cyclonical curve which has its axis vertical and vertex upwards, the string extending from the vertex to a cusp. Show that the least horizontal force applied at the vertex that will cause the string to slip upwards is \displaystyle\frac{W(3e^{\frac{\mu\pi}{2}}-\mu^2-1)}{\mu^2+4}, where \mu is the coeffecient of friction."

    So to solve the problem we need to know the intrinsic equation (equation which relates arc length to the angle of the tangent) of a cyclonical curve. I think the problem does not give enough details to solve it. For there are many different spirals such as, logarithmic spiral, Archimedean spiral etc. What is your idea?
    Last edited by Sudharaka; March 9th 2011 at 09:01 PM.
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