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Unformatted text preview: xi are rectangular coordinates, g = 1. Hence Eq. (5) shows that d m = (axi/d8jj, the Jacobian of the transformation. Thus the volume enclosed by a closed surface can be written as The last integral shows the importance of fi in mechanics. The method of tensor equations does not apply to relative tensors. Therefore it is important to properly define all quantities involved in an equation to be tensors. 2.14. GEOMETRIC INTERPRETATION OF TENSOR COMPONENTS Before we conclude this chapter we shall consider briefly the geometric interpretation of tensor components. For this purpose we must use the concept of base vectors. We know that in a three-dimensional Euclidean...
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This note was uploaded on 01/04/2012 for the course ENG 501 taught by Professor Thomson during the Fall '05 term at MIT.
- Fall '05