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(Solved): Q2 The moment of inertia I_(x),I_(y), and the product of inertia I_(xy) of the cross-sectional area ...
Q2 The moment of inertia
I_(x),I_(y), and the product of inertia
I_(xy)of the cross-sectional area shown in the figure are:
I_(x)=7523mm^(4),I_(y)=3210mm^(4), and ,I_(xy)=-2640mm^(4)The principal moments of inertia are the eigenvalues of the matrix
[[7523,-2640],[-2640,3210]], and the principal axes are in the direction of the eigenvectors. Determine the principal moments of inertia by solving the characteristic equation. Determine the orientation of the principal axes of inertia (unit vectors in the directions of the eigenvectors).
