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Oscillation vs. Pendulum Periods

  • Thread starter 1MileCrash
  • Start date
  • #1
1,331
45

Homework Statement



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:

Homework Equations





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?
 

Answers and Replies

  • #2
1,331
45
Should I get k in other terms and substitute?
 

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