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Homework Help: Classical mechanics

  1. Sep 21, 2007 #1
    [SOLVED] classical mechanics

    1. The problem statement, all variables and given/known data
    is it true that conjugate momentum, canonical momentum, and generalized momentum all mean the same thing (the partial of the Lagrangian with respect to the time derivative of some generalized coordinate)?



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 21, 2007 #2

    siddharth

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    Homework Helper
    Gold Member

    Yeah.

    [tex]p_j = \frac{\partial L}{\partial \dot{q_j}}[/tex]

    is referred to as generalized momentum, canonical momentum or conjugate momentum.

    Also, if the potential is velocity dependent, this generalized momentum will be different from the mechanical momentum of the system.
     
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