Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
2. Compute the equivalent Euler angles. WARNING: It is forbiden to use the Matlab library function eul2rotm here. Pay attention to the unit: degree, as well as in trigonometric functions. a. Given R1, compute the successive w-u-w angles: angle w, angle u, angle_w1. R1 = [0.0629 0.9101 0.4096 -0.9559 -0.0629 0.2868; 0.2868 -0.4096; 0.8660]; angle_u = 0 angle w = 0 angle_w1 = 0 b. If the same R1 is realized by the rotations around body frame axes, as follows: First rotates around w by aw, then around v by av, and finally around u by au. Compute the three successive angles aw, av, and au, respectively. av = 0 au = 0 aw = 0 c. The body frame firstly coincides with the fixed frame, then it has the following successive rotations all about the body frame axis: Rotation about w by angle. W, rotation about u by angle u, rotation about w again by angle_w1, rotation about w by aw, rotation about v by av, and finally rotation about u by au. Compute the final rotation matrix R2. R2 = zeros(3,3) d. If the above R2 is only realized by three successive rotations by roll, pitch and yaw aroud the fixed frame axes x, y and z, compute the roll, pitch and yaw. pitch = 0 roll = 0 yaw = Ө

2. Compute the equivalent Euler angles. WARNING: It is forbiden to use the Matlab library function eul2rotm here. Pay attention to the unit: degree, as well as in trigonometric functions. a. Given R1, compute the successive w-u-w angles: angle w, angle u, angle_w1. R1 = [0.0629 0.9101 0.4096 -0.9559 -0.0629 0.2868; 0.2868 -0.4096; 0.8660]; angle_u = 0 angle w = 0 angle_w1 = 0 b. If the same R1 is realized by the rotations around body frame axes, as follows: First rotates around w by aw, then around v by av, and finally around u by au. Compute the three successive angles aw, av, and au, respectively. av = 0 au = 0 aw = 0 c. The body frame firstly coincides with the fixed frame, then it has the following successive rotations all about the body frame axis: Rotation about w by angle. W, rotation about u by angle u, rotation about w again by angle_w1, rotation about w by aw, rotation about v by av, and finally rotation about u by au. Compute the final rotation matrix R2. R2 = zeros(3,3) d. If the above R2 is only realized by three successive rotations by roll, pitch and yaw aroud the fixed frame axes x, y and z, compute the roll, pitch and yaw. pitch = 0 roll = 0 yaw = Ө

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question

Use matlab to solve the question

2. Compute the equivalent Euler angles. WARNING: It is forbiden to use the Matlab library function eul2rotm here. Pay attention to the unit: degree, as well as in trigonometric functions. a. Given R1, compute the successive w-u-w angles: angle w, angle u, angle_w1. R1 = [0.0629 0.9101 0.4096 -0.9559 -0.0629 0.2868; 0.2868 -0.4096; 0.8660]; angle_u = 0 angle w = 0 angle_w1 = 0 b. If the same R1 is realized by the rotations around body frame axes, as follows: First rotates around w by aw, then around v by av, and finally around u by au. Compute the three successive angles aw, av, and au, respectively. av = 0 au = 0 aw = 0
Transcribed Image Text:2. Compute the equivalent Euler angles. WARNING: It is forbiden to use the Matlab library function eul2rotm here. Pay attention to the unit: degree, as well as in trigonometric functions. a. Given R1, compute the successive w-u-w angles: angle w, angle u, angle_w1. R1 = [0.0629 0.9101 0.4096 -0.9559 -0.0629 0.2868; 0.2868 -0.4096; 0.8660]; angle_u = 0 angle w = 0 angle_w1 = 0 b. If the same R1 is realized by the rotations around body frame axes, as follows: First rotates around w by aw, then around v by av, and finally around u by au. Compute the three successive angles aw, av, and au, respectively. av = 0 au = 0 aw = 0
c. The body frame firstly coincides with the fixed frame, then it has the following successive rotations all about the body frame axis: Rotation about w by angle. W, rotation about u by angle u, rotation about w again by angle_w1, rotation about w by aw, rotation about v by av, and finally rotation about u by au. Compute the final rotation matrix R2. R2 = zeros(3,3) d. If the above R2 is only realized by three successive rotations by roll, pitch and yaw aroud the fixed frame axes x, y and z, compute the roll, pitch and yaw. pitch = 0 roll = 0 yaw = Ө
Transcribed Image Text:c. The body frame firstly coincides with the fixed frame, then it has the following successive rotations all about the body frame axis: Rotation about w by angle. W, rotation about u by angle u, rotation about w again by angle_w1, rotation about w by aw, rotation about v by av, and finally rotation about u by au. Compute the final rotation matrix R2. R2 = zeros(3,3) d. If the above R2 is only realized by three successive rotations by roll, pitch and yaw aroud the fixed frame axes x, y and z, compute the roll, pitch and yaw. pitch = 0 roll = 0 yaw = Ө
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS