a. What is the rotation matrix R₁ represents a rotation of 30° of â? What is the rotation matrix R₂ represents a rotation of 45° of 2? b. The orientation of the body frame is given as Rsb Please compute: = i. RR and R¸R ii. Explain the different between previous two results. 0 √²/2 √2/2 √²/2 -√²/2

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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We need to find R1 and R2 for the first part of the question. Consider vectors x and z along the x and z axis,

4.
a. What is the rotation matrix R₁ represents a rotation of 30° of ? What is the
rotation matrix R₂ represents a rotation of 45° of 2?
0
-16 - 24/12
=
√2/2
b. The orientation of the body frame is given as Rsb
Please compute:
i. RRsb and RsbR
ii. Explain the different between previous two results.
0
√2/2
_√2/2)
Transcribed Image Text:4. a. What is the rotation matrix R₁ represents a rotation of 30° of ? What is the rotation matrix R₂ represents a rotation of 45° of 2? 0 -16 - 24/12 = √2/2 b. The orientation of the body frame is given as Rsb Please compute: i. RRsb and RsbR ii. Explain the different between previous two results. 0 √2/2 _√2/2)
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