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springo
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Homework Statement
Find the tensor of inertia for a half disk with mass M and then use that to get the angular momentum along the axis in the figure.
http://img138.imageshack.us/img138/5312/problemr.png
Homework Equations
Moment of inertia for the whole disk (with mass 2M)
[tex]\begin{bmatrix}
\frac{MR^{2}}{2} & 0 & 0 \\
0 & \frac{MR^{2}}{2} & 0 \\
0 & 0 & MR^{2}
\end{bmatrix}[/tex]
The Attempt at a Solution
For the tensor:
[tex]\begin{bmatrix}
\frac{MR^{2}}{2} & 0 & 0 \\
0 & \frac{MR^{2}}{4} & 0 \\
0 & 0 & \frac{MR^{2}}{2}
\end{bmatrix}[/tex]
And the moment of inertia... I think I should apply Steiner's theorem, but I'm not quite sure how to apply it on a tensor.
Thanks for your help.
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