I'm looking for a simple way to present some gyroscopic principles for a paper.

Job ID: 32894151

Budget: $30 – $250 USD

I'm working with different shapes for a rotating space station. A noted scientist critiqued my prior work as quoted below and I need to show this, if possible, in simple terms.
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Noted Scientist
"Actually, a thin disk like a torus is /more stable/ than a barrel.
Ideally, the moment of inertia (the integral of [d_mass · radius²])should be much larger around the spin axis than around the other two axes.
Look at flying Frisbees versus flying footballs. Which are more prone to wobbling and precession?,,,
A barrel with a length about equal to its diameter would be the /least/ stable”
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The .pdf attached is an excerpt from the paper along with the parameters. I would like the answers to be in imperial. If you know an easier way to show this, that would be helpful. i have two simple problems after this.

Thanks,
Ed D
Related categories: Mathematics Aerospace Engineering