- #1
rakso
- 18
- 0
- TL;DR Summary
- Find the natural frequencies of small oscillations
Hi,
Given a mechanic-problem, I've linearised a system of two differential equations, which the origin was Lagrange-equations.
The system looks like this;
$$ 5r \ddot{\theta} + r \ddot{\phi} + 4g \theta = 0´ \\ 3r \ddot{\theta} + 2r \ddot{\phi} + 3g \phi = 0 $$
$$ $$
And I shall find the natural frequencies of small oscillations of Theta and Phi. Are you supposed to solve the equations, then check for where the frequencys diverge?
Given a mechanic-problem, I've linearised a system of two differential equations, which the origin was Lagrange-equations.
The system looks like this;
$$ 5r \ddot{\theta} + r \ddot{\phi} + 4g \theta = 0´ \\ 3r \ddot{\theta} + 2r \ddot{\phi} + 3g \phi = 0 $$
$$ $$
And I shall find the natural frequencies of small oscillations of Theta and Phi. Are you supposed to solve the equations, then check for where the frequencys diverge?