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Vibrations question

  1. Nov 13, 2006 #1
    Just started vibrations and having trouble applying energy conservation as a means of finding the natural frequency.

    So I know wn=root(k/m) and I know that Tmax=Vmax

    the problem is:
    In the complete assembly, the top of the float is connected to one end of a uniform bar (mass m and length l) which is freely pivoted at its midpoint, as shown below. Derive an expression for the natural frequency of the complete indicator system.

    Hint: use Tmax=Vmax

    answer: root(6g/(L(3+m/M)))

    I do not really have a clue as how to get the energies.

    Thinking that the maximum potential energy Vmax is 1/2*k(x0^2) where x0 is maximum displacement of the cylinder in the water.

    Then Tmax is supposed to be 1/2*m(x0*wn)^2 where wn is natural frequency. Something like that. I am missing an I somewhere though as there clearly is rotation in the problem.

    Any help?

    Attached Files:

  2. jcsd
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