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Homework Help: Hamiltonian equations of motion question

  1. Jan 26, 2010 #1
    1. The problem statement, all variables and given/known data
    Question 1 on the following page: http://www.maths.tcd.ie/~frolovs/Mechanics/PS10.pdf

    It's the second part I'm stuck on ('Explain why the equations of motion do not...')

    2. Relevant equations

    3. The attempt at a solution

    I first found equations for x_1 'dot' and x_2 'dot' (using p = dL/dx'dot')
    and rearranged to get L(x_i,p_i)

    Then H(p,x) = p_1.x_1'dot' + p_2.x_2'dot' - L(x_i,p_i)

    and Hamilton's equations of motion:
    p_i 'dot' = -dH/dx_i
    q_i 'dot' = dH/dp_i

    I don't know how to solve the second part though. Is it dependent on my answers or is it something about equations of motion in general?

    Thanks for any help!
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
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