Recent content by E_Man

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    The Swing Problem:How can you go completely around?

    ray john came up with "V^2 = r.g.(1 + 2.(1 - cos(theta)))" but the reason i don't thing this can be evaluated is because theta is equal to the (average velocity X time)/radius of swing If anyone sees a way to solve this quasi algebraiclly A post would be greatly appreciated
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    The Swing Problem:How can you go completely around?

    Back to my original question, is there a mathematical(analytical) way of solving this? or not?
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    The Swing Problem:How can you go completely around?

    Could you explain more about why you neglected the odd powers of Velocity's Taylor series? Second question: would it be worthwhile to try and solve this by using series? would i still have to solve using differential equations?
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    The Swing Problem:How can you go completely around?

    Would the function for velocity along a pendulum even fit? I mean it seems like the bottom half of the circle would have one equation and the top half would have another, because of the fact that on the bottom hemisphere of motion the deceloration of gravity is on an inclined plane, and on the...
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    The Swing Problem:How can you go completely around?

    Ah ok could you tell me more about these differential equations? this is the problem I originally had. I was trying to approach the problem by finding the functions for each variable. Darn.
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    The Swing Problem:How can you go completely around?

    THANKS DOC AL AND EVERYONE ELSE! Thanks too fo the link given by eJavier! I pose a new challenge: Can anyone find an explicit function for the velocity as a function of time?
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    What is e? Understanding the Eularian Constant and Its Applications

    Ive never taken differential equations or population biology, but I believe the reason E comes up so often is arbitratry. Mathematicians use E to make integration and differentiation easyer.
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    The Swing Problem:How can you go completely around?

    v=(sqrt(gr)) is ONLY the minimum velocity at the apex of the trajectory. The original starting velocity is NOT v=(sqrt(gr)). Mathematically, this is wrong because you neglect that V varies according to the gravitational vector you also neglect that V varies according to the varying rate of...
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    The Swing Problem:How can you go completely around?

    Every kid has asked the question on a swing, could I go all the way around? How fast would I have to go? I wanted to find the answer.I’ve taken the first year of calculus, and I have been having trouble with the math of this problem :confused: . I am not sure there is an algebraic solution to...
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