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For the mass distributions in Problems 5 to 7, find the inertia tensor about the origin, and
find the principal moments of inertia and the principal axes.
5.
Point masses 1 at (1, 1, 1) and at
1, 1, 1).
-
6.
Point masses 1 at (1,1, –2) and 2 at (1, 1, 1).
7.
Mass of uniform density
1, bounded by the coordinate planes and the plane
x + y + z = 1.

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