Ratio H/R to in tensor problem, just making sure i did this right

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SUMMARY

The discussion confirms that the ratio of height to radius (h/R) required for all diagonal elements of the inertia tensor to be equal is h/R = √3. The user correctly set Ixx equal to Iyy and subsequently to Izz, utilizing algebraic manipulation to arrive at this conclusion. The solution is validated by another participant, affirming the accuracy of the calculation.

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[SOLVED] ratio H/R to in tensor problem, just making sure i did this right

Homework Statement


What is the ratio of height to radius that you need such that all the diagonal elements of the inertia tensor along its diagonal are equal?


Homework Equations





The Attempt at a Solution



http://scienceworld.wolfram.com/physics/mimg276.gif
Since my Ixx=Iyy i made one of them = to Izz, i did some simple algebra and got h/R = sqrt(3) is this right? If not where did I go wrong?

Thanks
 
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