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Homework Statement
Two identical thin rods, each with mass m and length L, are joined at right angles to form an L shaped object. This object is balanced on top of a sharp edge. If the L shaped object is deflected slightly, it oscillates. Find the frequency of oscillation.
Here is a picture:
http://www.luiseduardo.com.br/undulating/SHM/shmproblems_arquivos/image111.jpg
the correct answer is 1/4∏(√(6g/√(2L)).
Homework Equations
moment of inertia of a slender rod about one end: I = 1/3mL^2
ω=√(mgd/I)
The Attempt at a Solution
I think the center of mass is at 45° between the rods, √2/2L down from the pivot. Let me know if that is wrong. I think that would make d=√2/2L. So my main problem is in finding I. I know I for each rod, but I don't know how to use that to find I for the entire oscillating object.
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