If the coordinate frame 0₁x₁Y₁Z₁ is obtained from the coordinate frame ooxoYoZo by a rotation of /2 about the x-axis followed by a rotation /3 about the fixed y-axis, calculate the rotation matrix R representing the composite transformation. Sketch the initial and final frame.

If the coordinate frame 0₁x₁Y₁Z₁ is obtained from the coordinate frame ooxoYoZo by a rotation of /2 about the x-axis followed by a rotation /3 about the fixed y-axis, calculate the rotation matrix R representing the composite transformation. Sketch the initial and final frame.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

If the coordinate frame 0₁x₁Y₁Z₁ is obtained from the coordinate frame ooxoyoZo by a rotation of
π/2 about the x-axis followed by a rotation π/3 about the fixed y -axis, calculate the rotation
matrix R representing the composite transformation. Sketch the initial and final frame.
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Step 1: Determine the rotation matrix R representing the composite transformation

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Step 2: Determine the rotation matrix R representing the composite transformation

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Step 3: Sketch the initial and final frame

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