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Second order differential equation Lagrange mechanics

  1. Jan 16, 2010 #1
    1. The problem statement, all variables and given/known data
    from one thing in Lagrange mechanics (general coordinates: [tex]\phi,\dot\phi,s,\dot{s}[/tex]) I got a equation system:
    [tex]\begin{cases}R\ddot\phi\sin\phi+R\dot\phi^2\cos\phi+\ddot{s}=0\\ g\sin\phi+R\ddot\phi+\ddot{s}\sin\phi=0\end{cases}[/tex]
    3. The attempt at a solution
    Is it good idea to make a thing which is approximating a equations for little [tex]\phi[/tex] and do it like this [tex]\sin\phi\approx\phi,\quad\cos\phi\approx1[/tex]?
  2. jcsd
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