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Chapter 10: Q3P (page 505)
As we did in (3.3) , show that the contracted tensor is a first-rank tensor, that is, a vector.
Answer
The equation has been proven.
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Point masses 1 at (1, 1, -2) and 2 at (1, 1, 1).
For the point mass m we considered in (4.2) to (4.4), the velocity is so the kinetic energy is.Show that T can be written in matrix notation as where I is the inertia matrix, is a column matrix, and is a row matrix with elements equal to the components of
In the text and problems so far, we have found the e vectors for Question: Using the results of Problem 1, express the vector in Problem 4in spherical coordinates.
Show that, in polar coordinates, thecontravariant component of dsis which is unitless, the physical component of ds is which has units of length, and thecovariant component of ds iswhich has units role="math" localid="1659265070715" .
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