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MSE4020Fall2011-Quiz7-Solutions

MSE4020Fall2011-Quiz7-Solutions - Mini Quiz#8 September...

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Unformatted text preview: Mini Quiz #8 September 22,2011 "TH ”IIIIIIIIIIIIIIIIIIIIIIII (Type your name) 1) Your are given a second rank tensor 0 and want to transform into a new coordinate system that is linked to the old one by the rotation matrix a The new representation of the tensor is denoted with o’ in index notation, with the Einstein convention, how are the elements of 0’ related to o? i‘ Q13 2 OGMMQ 0“ 2) In the general notation, using c, o’ and 0L, what is the relation ? W: («ATOM 3) How are the rotation matrix at, the inverse of the rotation matrix OH, and the transposed rotation matrix OLT related ? .r' r ,- oa r00 ...
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