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Diagonal of a thin rectangular foil, inertial principal axis

  1. Feb 8, 2016 #1
    I'd like to know if the diagonal of a rectangular thin foil is an inertial principal axis.


    I know that if an axis isn't a symmetry axis then it isn't a principal axis. In the rectangle the diagonal isn't a symmetry axis, so it shouldn't be a principal axis. Is it correct?

    So, if I consider that the angle between the rotation axis and x-axis is $\theta$ and $\vec{\omega}$ is on xy-plane, I can't understand why

    ##\tau_z=\omega_x \omega_y(I_{xx}-I_{yy})##
     
  2. jcsd
  3. Feb 13, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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