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Constant dx/dt

  1. Sep 30, 2008 #1
    A bead, under the influence of gravity, slides along a frictionless wire whose height is given by the function y(x), Assume that at position 9x,y) = (0,0), the wire is horizontal and the bead passes this point with a given speed v to the right. What should the shape of the wire be(that is, what is y as a function of x) so that the horizontal speed remain v at all the times ? One solution is simply y = 0. Find the other.

    I don't know how to solve this problem by using which physics equation?
     
  2. jcsd
  3. Sep 30, 2008 #2

    tiny-tim

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    Hi oscar_lai_hk! :smile:

    Start with KE + PE = 0.
     
  4. Sep 30, 2008 #3
    I try to solve this problem of conservation energy.but why the answer not include y = 0????
     

    Attached Files:

  5. Sep 30, 2008 #4

    tiny-tim

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    Hi oscar_lai_hk!

    Are those two jpg's your answer?

    It will take hours before they're approved.

    Please type your answer so that we can se it now. :smile:
     
  6. Sep 30, 2008 #5
    The answer is :
    y = (square root(mg) ) X /v
     
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