- #1
zwingtip
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Homework Statement
[PLAIN]http://img59.imageshack.us/img59/9484/fp5.gif
to find the moment of inertia through point A
Homework Equations
[tex]I = \int{r^2dm}[/tex]
The Attempt at a Solution
Used a double integral from point A:
[tex]
\displaystyle\int_{0}^{h}\displaystyle\int_{-L/2}^{L/2}\rho(x^2+y^2)dxdy
= \rho\displaystyle\int_{0}^{h}\(\frac{1}{12}L^3+Ly^2)dy = \rho(\frac{1}{12}L^3h+\frac{1}{3}Lh^3)
[/tex]
with
[tex]h=\frac{\sqrt{3}}{2}L[/tex]
and
[tex]\rho=\frac{M}{\frac{1}{2}Lh}[/tex]
and ended up with [tex]I = \frac{2}{3}ML^2[/tex]
This seems too simple to be right. Help?
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