Moment of Inertia of an Ellipsoid

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SUMMARY

The discussion centers on the calculation of the moment of inertia of an ellipsoid, specifically addressing a common error where the coefficient should be 1/5 instead of 2/5. Participants emphasize the importance of presenting equations in LaTeX format for clarity and accessibility. Andrew expresses difficulty in sharing his work due to formatting issues, while others provide guidance on using LaTeX effectively in forum posts. This exchange highlights the significance of proper mathematical representation in discussions.

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  • Understanding of moment of inertia concepts
  • Familiarity with ellipsoidal geometry
  • Knowledge of LaTeX formatting for equations
  • Basic calculus for integral equations
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  • Research the derivation of the moment of inertia for various geometric shapes
  • Learn LaTeX formatting for mathematical expressions
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metgt4
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I seem to be off by a factor of 2 on the answer to this problem but I can't find where I went wrong. The term in front should be 1/5 and not 2/5. Does anybody see the mistake in my work? It is attached in a word document because I can't figure out how to put the equations into this post otherwise.

Thanks!
Andrew
 

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Just to let you know, many people, myself included, that might otherwise have a look at your stuff won't bother to open a word document. It is as easy to put your equations here as in a word document in the first place.
 
I tried to put the equations in my post but it didn't seem to work. Is there any special way to put equations into a post that I'm not seeing?
 
You put the equations in LaTeX format surrounded by tex tags. You can learn just by looking at other's posts. For example just to give you some ideas, click on this:

H(x)=\int_{0}^{\frac{\pi}{2}} \frac {f^2(x)}{g(x,\theta)} d\theta
 
Thanks! That helped a lot
 

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