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Chapter 10: Q13P (page 517)
are both axial vectors.
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Show by the quotient rule (Section 3 ) that in is a -rank tensor.
As in Problem 2, complete Example 5.
Complete Example 4 to verify the rest of the components of the inertia tensor and the principal moments of inertia and principal axes. Verify that the three principal axes form an orthogonal triad.
Show that in a general coordinate system with variables x1, x2, x3, the contravariant basis vectors are given by
Hint:Write the gradient in terms of its covariant components and the basis
vectors to getand let .
Mass of uniform density=1, bounded by the coordinate planes and the plane x +y +x=1 .
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