moments of inertia

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I determined the area moment of inertia and the product of inertia of the cross-section of a beam about the centroidal axes using equations. I am now asked to design an experiment to verify the results that I obtained through equations. Can someone please suggest an experiment because I don't know how to continue?

I am not working with mass. I am calculating moments of inertia Ix and Iy, and products of inertia using equations like ∫ y^2 dA and ∫ xy dA

  • moments of inertia -

    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.

    Products of inertia will be harder to verify. It plays a role in the stability of motion and gyroscope behavior.

  • moments of inertia -

    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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