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Oscillation vs. Pendulum Periods

  1. Oct 31, 2011 #1
    1. The problem statement, all variables and given/known data

    The rotational inertia of a uniform thin rod about its end is ML2/3, where M is the mass and L is the length. Such a rod is hung vertically from one end and set into small amplitude oscillation. If L = 1.0 m this rod will have the same period as a simple pendulum of length:

    2. Relevant equations



    3. The attempt at a solution

    My original plan was to use a system of equations with:

    T = sqrt(I/k) (oscillation, where k is torsion constant)
    and
    T = 2pi(sqrt(L/g)) (simple pendulum.)

    However, I don't know the torsion constant and have no means to find it. What's my first step?
     
  2. jcsd
  3. Oct 31, 2011 #2
    Should I get k in other terms and substitute?
     
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