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Lagrange equations:

  1. Oct 28, 2012 #1
    Consider a rectilinear rod (A-B) with negligible mass that is attached, without friction, to a vertical OZ axis. The rod rotates about that axis with a constant angular velocity ω and it maintains a angle α with OZ.

    A particle of mass m moves about the rod and it is attracted by the gravity.


    a) Indicate, and justify the degrees of freedom of the material point.


    To write the degrees of freedom i have to know the equations of x, y and z.

    My problem is the z component equation.

    For x and y we have the following equation:
    x^2+y^2 = r^2

    r is the radius (A-B)

    Now i need the equation for z..

    any types?
     
    Last edited: Oct 28, 2012
  2. jcsd
  3. Oct 30, 2012 #2

    TSny

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    If I'm understanding the setup, wouldn't r and z make up two legs of a right triangle with ##\alpha## as an angle in the triangle? So, z can be expressed in terms of r and ##\alpha##.
     
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