We discussed different angle set conventions in class. One common convention is the set of X-Y-Z Euler Angles. With this convention, the B frame is first rotated about Loading
by angle Loading
, then rotated about Loading
by angle Loading
, and then finally rotated about Loading
by angle Loading
. This angle set has the following form.
Loading
Using the examples from class as a primer, and using the atan2 function, please derive the formulas necessary to extract the values of angles Loading
, Loading
, and Loading
from the above rotation matrix. For simplicity, you may assume that no angles equal either 0° or 90°. Please express your answers in terms of elements of the rotation matrix (Loading
, Loading
, etc.) and clearly state any assumptions that you make.
Solution (only visible by instructors; please contact us to request access)
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