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Math Help - Lagrangian Dynamics.

  1. #1
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    Lagrangian Dynamics.

    AB is a straight frictionless wire fixed at a point A on the vertical axis OA with constant velocity w(omega). A bead of mass m is constrained to move on the wire.
    Set up the Lagrangian's equation.

    I know that the lagrangian's equation is L=T-V where V is the potential energy and T is the kinetic Energy.
    I was taking as generalised coordinates w but i don't know how to proceed and get the kinetic and potential energy.

    Help please! thank youuuu
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  2. #2
    Junior Member
    Joined
    Jan 2009
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    denote by l the length of the wire.
    if A is the origin then we have two coordinates x and y.
    and we have sqrt(x^2+y^2)=l.
    and dy/dt=w.
    you have gravity as for potential energy (wrt y).
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