The components of a first and second order tensor in a particular coordinate frame are given by [2 1 6] (3) aij = 3 0 3 b=1 L1 2 4] Determine the components of each tensor in a new coordinate system found through a rotation of π/6 radians about the x3-axis. Choose a counterclockwise rotation when viewing down the negative x3-axis.
The components of a first and second order tensor in a particular coordinate frame are given by [2 1 6] (3) aij = 3 0 3 b=1 L1 2 4] Determine the components of each tensor in a new coordinate system found through a rotation of π/6 radians about the x3-axis. Choose a counterclockwise rotation when viewing down the negative x3-axis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![coordinate frame are given by
aij
The components of a first and second order tensor in a particular
[2
1 61
= 3 0 3 b=
=
1 2 4]
Determine the components of each tensor in a new coordinate system found through a
rotation of π/6 radians about the x3-axis. Choose a counterclockwise rotation when
viewing down the negative x3-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ea503b5-9839-4a05-b482-50f8a035eb54%2Ffde8738f-359f-4416-a487-b4a42391e4a6%2Fbojh6x_processed.png&w=3840&q=75)
Transcribed Image Text:coordinate frame are given by
aij
The components of a first and second order tensor in a particular
[2
1 61
= 3 0 3 b=
=
1 2 4]
Determine the components of each tensor in a new coordinate system found through a
rotation of π/6 radians about the x3-axis. Choose a counterclockwise rotation when
viewing down the negative x3-axis.
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