Posted by Claire on Wednesday, April 7, 2010 at 9:55am.
The area moment of inertia can be verified with a beam deflection experiment. Load the beam at the middle with freely supported edges, or cantilevered from one wall with a clamped edge, for example.
For the polar moment of inertia about a perpendicular axis through the centroid, consider a torsional vibration experiment.
http://en.wikipedia.org/wiki/Polar_moment_of_inertia
Products of inertia will be harder to verify. It plays a role in the stability of motion and gyroscope behavior.
If you have a product of inertia, the axis you chose is not a principal axis of the figure.
If it were a body with mass, you could spin it about your chosen axis and see if it wobbles like a wheel with "dynamic imbalance". I am not sure how to do it with a zero mass figure on paper.
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