Recent content by Randy Cotteleer

Ibix, Thank you for your help. I understand your assertion. we can always have more variables than constraints, however, the more constraints we have the more likely the objects are dimensionally identical. The question is as much a mental exercise and anything else. Thanks again.

Okay, I agree and that is valuable to know. question: without a physical measurement or inspection is there a way to tell the 2 objects in post #14 apart? Is there a constraint that could be added to identify the difference?

Ibix are you effectively saying that if you move the, for lack of a better term, outer grooves out and the inner grooves in the appropriate amount to offset the outer groove displacement. that the MOI's stay the same? I think I understand.

you are right, in 3 axes, MOI does change.

Pondering...

I appreciate you helping me to noodle this out...

berkeman, that would still be 2 pieces joined together. I am considering monolithic items. I did some math, if the shapes were cast monolithically, one at 90 degrees and one at 45 degrees, and assuming that the crossection of the arms was 1" x 1" the volume of the interface for the 90 degree...

Okay, but imagine that it is not 2 dumbbells tied together, but rather a single item essentially "cast" in those 2 shapes (one @90 and one @45) because of the change in angles at the center, the volume would be different. Am I thinking about it correctly?

berkeman, I haven't found any counterexamples, but I am skeptical as well. The statement seems plausible, I'd like to see if there is a definitive answer.

I am looking to prove or disprove the following statement: Two objects, of the same homogeneous material, the same mass, the same volume, the same center of mass and the same moment of inertia will be dimensionally the same. If there is a way to generate a mathematical proof, that would be...

I work in the automotive industry with a background in operations and manufacturing.