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Swinging Pendulum

  1. Apr 12, 2009 #1
    My assignment is in Swedish so I will try to Translate as good as I can ( if someone knows swedish you can visit the link http://physics.gu.se/~sjogren/FYP100/PM_svaengning.pdf )

    1. The problem statement, all variables and given/known data

    We have a swinging Pendulum wich equation is given by :

    Equation.jpg attachment.php?attachmentid=18428&stc=1&d=1239580563.jpg

    The variables κ, λ and μ are positive constants which are characteristic of the swinging system. θ is the Pendulum angular deviation from the equilibrium position. I = inertia moment

    The Question :

    Solve the equation in 2 cases

    Case 1 : λ=μ=0

    Case 2 : λ≠0, μ=0

    The Purpose :

    Use the Solutions to derive a realtion between the eigenfrequency ω0, damping constant [tex]\gamma[/tex] and angular frequency ωd for the damping Oscillation.

    2. The attempt at a solution

    Many, and i do not know what to do, because the angular frequency ω = dθ/dt which make the term μ*cos(ω*t) the whole equation into a separable equation ? Iam confused

    I need help with this one. A solution to this would be appreciated!

    Thanks
     
  2. jcsd
  3. Apr 13, 2009 #2
    Never mind.
    Solved!
     
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