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Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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![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](https://content.bartleby.com/qna-images/question/e23ae763-28c2-4106-8a99-c21e032becaf/ac701a53-529f-4611-8a9f-795521df6e3a/goovoyo_thumbnail.png)
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

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
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