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Challenging Problem! Equations of Motion for Spherical Magnetics Pendulum

  1. Jun 1, 2012 #1
    1. The problem statement, all variables and given/known data
    I struggle to write equations of motion for spherical magnetic pendulum.
    The forces acting on the pendulum are: gravity, tension in the rope, and 4 repelling forces
    Here is the picture for the problem: first attachment
    (I didn’t add forces to not mess it up)
    There are no data given. I have to assume some realistic values.​

    2. Relevant equations
    second attachment have used those equation of motion presented on this site to do the project in 2D but I didn’t really helped me in the 3D case.
    Then I have found this pdf
    -the problem is almost done using Lagrange mechanics but I don’t know how to add repealing forces to the equations.​

    3. The attempt at a solution
    I solved it in 2D case(attached picture). I don’t know how to add equations of motion to the equations given in the pdf from the attachments. However of course it does not need to be done using Lagrange mechanics.​

    please help
     

    Attached Files:

  2. jcsd
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