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4. Assume Frame B coincides with Frame A at the beginning. Then the Frame B moves to position [3, 4, 5] in Frame A, at the same time Frame B consecutively rotates around its own axes w, u, and v by 45, 45 and 75 degrees, respectively. There is a Point P located in Frame B having initial coordinates [3, 3, 3] in B, at the same time the Point P moves along B U axis by 5, along B V axis by 6, and along B W axis by 7. a. Compute the final position P in Frame A. Pin A = [0;0;0] b. If there is a frame C located in the P point, with the rotation matrix R1 (please refer to R1 in task2.a) with respect to frame B. Write the final homogeneous tranformation matrix of frame C in A. % compute A as follows: TafsinA = zeros(4,4)

4. Assume Frame B coincides with Frame A at the beginning. Then the Frame B moves to position [3, 4, 5] in Frame A, at the same time Frame B consecutively rotates around its own axes w, u, and v by 45, 45 and 75 degrees, respectively. There is a Point P located in Frame B having initial coordinates [3, 3, 3] in B, at the same time the Point P moves along B U axis by 5, along B V axis by 6, and along B W axis by 7. a. Compute the final position P in Frame A. Pin A = [0;0;0] b. If there is a frame C located in the P point, with the rotation matrix R1 (please refer to R1 in task2.a) with respect to frame B. Write the final homogeneous tranformation matrix of frame C in A. % compute A as follows: TafsinA = zeros(4,4)

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
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4. Assume Frame B coincides with Frame A at the beginning. Then the Frame B moves to position [3, 4, 5] in Frame A, at the same time Frame B consecutively rotates around its own axes w, u, and v by 45, 45 and 75 degrees, respectively. There is a Point P located in Frame B having initial coordinates [3, 3, 3] in B, at the same time the Point P moves along B U axis by 5, along B V axis by 6, and along B W axis by 7. a. Compute the final position P in Frame A. Pin A = [0;0;0] b. If there is a frame C located in the P point, with the rotation matrix R1 (please refer to R1 in task2.a) with respect to frame B. Write the final homogeneous tranformation matrix of frame C in A. % compute A as follows: TafsinA = zeros(4,4)
Transcribed Image Text:4. Assume Frame B coincides with Frame A at the beginning. Then the Frame B moves to position [3, 4, 5] in Frame A, at the same time Frame B consecutively rotates around its own axes w, u, and v by 45, 45 and 75 degrees, respectively. There is a Point P located in Frame B having initial coordinates [3, 3, 3] in B, at the same time the Point P moves along B U axis by 5, along B V axis by 6, and along B W axis by 7. a. Compute the final position P in Frame A. Pin A = [0;0;0] b. If there is a frame C located in the P point, with the rotation matrix R1 (please refer to R1 in task2.a) with respect to frame B. Write the final homogeneous tranformation matrix of frame C in A. % compute A as follows: TafsinA = zeros(4,4)
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