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Inserted mass on a rotating ring, problem with solution interpretation

  1. Jan 14, 2014 #1
    1. The problem statement, all variables and given/known data

    Its about a system like in picture. I have it solved alredy BUT I still have a problem
    After getting the dynamic equation by newtonian and Lagrangian methods I solved one of them making the hipótesis of Little oscillations. This diferential equation has three solutions depending on ω.

    http://www.acienciasgalilei.com/public/forobb/galeria/tmp4/a44be89a0d.png [Broken]

    2. Relevant equations

    The problem is that one of them is: θ=θocosh(Ωt) but when we increase t, θ grows exponetially till the infinite! How can this be posible if this is a solution only suitable for small oscillations?

    Thanks!

    PD: sorry about my english (Im spanish, and Im very tired now)
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Jan 15, 2014 #2

    tiny-tim

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    ola albandres! welcome to pf! :smile:
    erm :redface:

    no picture! :biggrin:

    it's difficult to say without knowing the set-up, but does this solution represent an unstable equilibrium?
     
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