Let [tex]\Omega[/tex] represent a two dimensional material region who density is given by [tex]\rho[/tex](x,y). Establish an integral formula for the moment of inertia of the material region about the line y=x.
The moment of inertia about the x axis: [tex]\int[/tex][tex]\int[/tex]x2[tex]\rho[/tex](x,y)dA
The Attempt at a Solution
I am attempting to transform the moment of inertia about the x axis to the line x=y, how would I go about doing this?
Thanks for any help, Jim.