A general question on finding the moment of inertia from oscillations.

AI Thread Summary
To find the moment of inertia of an object hung from its center of mass using the radius of the string, the period of oscillation, and the mass, one can apply principles of pendulum motion. The discussion suggests that the object behaves like a physical pendulum, where the oscillation period is related to its moment of inertia. It is important to assume small initial displacements, allowing the approximation sinθ = θ for simplification. Resources provided in the discussion offer further insights into the calculations involved. Understanding these relationships is crucial for accurately determining the moment of inertia through oscillation data.
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Is there a way to find the moment of inertia of an object that is hung from its center of mass, knowing the radius of the string, the period of the oscillation, and the mass of the object? I've been trying to think of how to do this and I don't even know where to start.
 
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If the object is hung from its center of mass then you're talking about a pendulum but I think you had some other kind of oscillation in mind?
 
http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/SHM/PhysicalPendulum.html
http://www.uccp.org/docs/Lab%20Facilitator%20Manuals/Honors_Physics/HonPhys_Lab07_Pendulum.pdf
http://www.phy.duke.edu/~rgb/Class/phy51/phy51/node23.html

The big assumption is that the initial displacement is relatively small,
i.e. sinθ = θ.
 
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