(a) Give the components of the velocity gradient tensor, L. (b) Give the components of the deformation rate tensor, D. (c) Give the components of the spin tensor, W.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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2. For a motion with spatial representation of velocity given by
v = -wx2 êi + wx1 ê2 + at ê3
(a) Give the components of the velocity gradient tensor, L.
(b) Give the components of the deformation rate tensor, D.
(c) Give the components of the spin tensor,
W.
(d) Find the acceleration of the material (in spatial coordinates).
Transcribed Image Text:2. For a motion with spatial representation of velocity given by v = -wx2 êi + wx1 ê2 + at ê3 (a) Give the components of the velocity gradient tensor, L. (b) Give the components of the deformation rate tensor, D. (c) Give the components of the spin tensor, W. (d) Find the acceleration of the material (in spatial coordinates).
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