Frame A and point Loading
lie on the plane Loading
:
Note that unit vector Loading
is pointing out of the screen. The coordinates of point Loading
are (2.1, 0.5, 0) when expressed in frame A. Frame B lies in the same plane and has the orientation shown below:
(a) Find the rotation matrix Loading
that relates the orientation of frames A and B. Use any strategy to check your answer and explain why it is correct.
(b) For part (b) only, suppose the origins of frames A and B are coincident. Use your answer from part (a) and the expression Loading
to compute Loading
. Recall that rotation matrices are orthogonal, which means that Loading
.
(c) Now suppose the origin of frame B is at Loading
relative to the origin of frame A. What is the transformation matrix Loading
that relates frames A and B?
(d) Use your answer from part (c) and the expression below to compute Loading
:
Loading
(e) Sketch frame A, frame B, and point Loading
to confirm that your answer to part (d) is correct.
Solution (only visible by instructors; please contact us to request access)
Unable to render {include} The included page could not be found.