- #1

PhillipLammsoose

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- TL;DR Summary
- I have an extra term in my harmonic oscillator equatiion, does it destroy the solution for small frequencies?

Hey, I solved a problem about a double pendulum and got 2 euler-lagrange equations:

1) x''+y''+g/r*x=0

2) x''+y'' +g/r*y=0 (where x is actually a tetha and y=phi)

the '' stand for the 2nd derivation after t, so you can see the basic harmonic oscillator equation with a term x'' or y'' that bother me. How do these terms effect the endresult for the frequency of small oscillations? I know w^2 (omega) would be w^2=g/r for a classic form of the equation, but what about the x'' or y''?

thanks for helping, I hope this was readable.

1) x''+y''+g/r*x=0

2) x''+y'' +g/r*y=0 (where x is actually a tetha and y=phi)

the '' stand for the 2nd derivation after t, so you can see the basic harmonic oscillator equation with a term x'' or y'' that bother me. How do these terms effect the endresult for the frequency of small oscillations? I know w^2 (omega) would be w^2=g/r for a classic form of the equation, but what about the x'' or y''?

thanks for helping, I hope this was readable.