(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Moment of Inertia tensor SETUP, not to difficult but cant figure it out

1. The problem statement, all variables and given/known data

a) For a cylinder of mass M, radius R and height h, calculate the inertia tensor about the center of mass. What are the principal axes?

2. Relevant equations

3. The attempt at a solution

I need help with setting up the integral. I placed the origin at the center of the cylinder. So and i set my boundaries as = z going from -h/2 to h/2, y going from -R to R and x going from -sqrt(R^2-y^2) to sqrt(R^2-y^2).

However when i integrate Ixx I get zero and I know I am not suppose to. Is there a better choice for my boundaries?? My x boundaries are the problem here because they give me a ugly answer.

Thanks

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# Homework Help: Moment of Inertia tensor SETUP, not to difficult but cant figure it out

**Physics Forums | Science Articles, Homework Help, Discussion**