2. Derive the component transformation equations for tensors shown be-low where [C] = [BA] is the direction cosine matrix from frame A toB.B[T] = [C]^[T][C]T3. The transport theorem for vectors shows that the time derivative canbe constructed from two parts: the first is an explicit frame-dependentchange of the vector whereas the second is an active rotational changeof the vector. The same holds true for tensors. Starting from theprevious result, derive a version of transport theorem for tensors.[C] (^[T])[C] =dtdBdtB[T] + [WB/A]B[T] – TWB/A](10 pt)(7pt)

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Answered: 2. Derive the component transformation…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 69E: Find a basis for R2 that includes the vector (2,2).

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