- #1
roeb
- 107
- 1
Homework Statement
[tex] (M + m) \ddot x + m l \ddot\theta - ml \dot\theta ^2\theta = 0[/tex]
[tex]\ddot\theta + \frac{\ddot x}{l} + \frac{g}{l}\theta = 0[/tex]
I am not quite sure how to get a x(t) and theta(t) that actually fit for these equations...
For the second equation, I was thinking something like
x(t) = At^2 + Bt+C
theta(t) = Dt^2 + Et + C, but of course that doesn't work.
I know how to find the eigenfrequencies for systems that say have a Ae^(iwt) term in them, but for something like this, I have no idea... If I could get the correct forms of x(t) and theta(t) I think I could probably find them, but I am a bit lost in how to get the forms for something like this.
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