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Help with integrating polar coordinate equations

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data
    I need to integrate the equation shown below in the picture.
    It is a polar coordinate function with r(double dot) being the acceleration radial and theta(double dot) being angular acceleration.

    I need to integrate with respect to time, to get equations for r(dot) and r, and theta(dot) and theta, however I am having trouble with integrating the last terms of the equation, where there is r and theta together, as both are in terms of time, (is this a integration by parts?) , and also sin(gamma) = r(dot)/v where v is the magnitude of r(dot). This confuses me, how do I integrate sin(gamma) if it is in terms of time, and how then do I integrate v if it is in terms of r(dot) and r(dot) is in terms of time?

    See the other picture below.


    2. Relevant equations
    Integration equations.?


    3. The attempt at a solution
    I have no idea where to start integrating sin(gamma) and the last term of each equation..



    Thanks guys and girls.
     

    Attached Files:

  2. jcsd
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