Posted by **Claire** on Wednesday, April 7, 2010 at 9:55am.

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 -
**drwls**, Wednesday, April 7, 2010 at 10:33am
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.

- moments of inertia -
**Damon**, Wednesday, April 7, 2010 at 11:10am
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.

## Answer this Question

## Related Questions

- physics-Moment of Inertia - Two equal masses m are place at positions r1= (L, 2L...
- science - Which statement best describes the inertia of an object? A.Inertia is...
- 12th grade - A bicycle wheel has a radius of 0.330 m and a rim whose mass is 1....
- physics - Four objects are held in position at the corners of a rectangle by ...
- College Physics - College Physics- Inertia? Find the moment of inertia about ...
- Physic Moment of inertia - Determine the moment of inertia of a 11.1kg sphere of...
- Statics - A cantilever beam, made of a material with a Young's modulus, E with a...
- Physics - Rotational Inertia- Particle 1: m=50g x=2 cm y=2 cm P 2: m=25 x=0 y=4 ...
- Physics - An ice skater with an initial moment of inertia of 1.44 kg*m^2 is ...
- physics - A toy consisting of two balls, each m = 0.56 kg, at the ends of a l = ...

More Related Questions