- #1
Like Tony Stark
- 179
- 6
- Homework Statement
- The pictures show two rods of homogeneous mass ##m## and length ##l##. Determine their inertia tensors.
- Relevant Equations
- Matrix of inertia
I have to find the inertia tensor of these rods and I don't have the concept that clear...
I mean, I know the formulas like:
##I_{xx}=\int y^2 + z^2 dm##
##I_{xy}=\int xy dm##
But I don't know what ##x, y, z, dm## stand for. In other words, I don't know what I should replace in the formula with.
Can you do one example for me? Just one, like "in the first picture, if you want to calculate ##I_x##, where you have ##y## you have to replace with b because that's..., and where you have ##z## you have to replace with 0 because..."
And what would it be the difference if these pictures didn't show rods but cylinders or another shape?
Thanks
I mean, I know the formulas like:
##I_{xx}=\int y^2 + z^2 dm##
##I_{xy}=\int xy dm##
But I don't know what ##x, y, z, dm## stand for. In other words, I don't know what I should replace in the formula with.
Can you do one example for me? Just one, like "in the first picture, if you want to calculate ##I_x##, where you have ##y## you have to replace with b because that's..., and where you have ##z## you have to replace with 0 because..."
And what would it be the difference if these pictures didn't show rods but cylinders or another shape?
Thanks