- #1
Niles
- 1,866
- 0
Hi
If i want to express the kinetic energy for some angular momentum, I can write
[tex]
T=\frac{1}{2}\sum_{ij}{I_{ij}\omega_i\omega_j}
[/tex]
I cannot quite see why we have wiwj at the end, and not just wi2. It is not that obvious to me. I have read several examples regarding polarization and electric fields, and they make perfectly good sense. But in the case with the KE, I'm a little confused. Can somebody perhaps shed some light on this?Niles.
If i want to express the kinetic energy for some angular momentum, I can write
[tex]
T=\frac{1}{2}\sum_{ij}{I_{ij}\omega_i\omega_j}
[/tex]
I cannot quite see why we have wiwj at the end, and not just wi2. It is not that obvious to me. I have read several examples regarding polarization and electric fields, and they make perfectly good sense. But in the case with the KE, I'm a little confused. Can somebody perhaps shed some light on this?Niles.