(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Find the eigenfrequencies for systems

**Physics Forums | Science Articles, Homework Help, Discussion**