EXERCISE 3.16 Collar A is welded to the vertical shaft, so is constant.The rectangular plate is welded to shaft BC, and xyz is a coordinatesystem that is attached to the plate. Splines prevent shaft BC fromrotating relative to the collar, so p = 0, in which case the yz plane isalways situated in the vertical plane. The system is rotated by y = 75⁰about the vertical axis; the value of 0 is 30°. Determine the rotationtransformation from relating components relative to the initial and finalxyz coordinate system. From this result determine the angle betweenthe initial and final orientations of the y axis.(Hint: take point C as the origin of frame XYZ that is coincident with frame xyz before therotation. Rotation axis Z' passes point C and is vertically upward. X' coincides with X.)squ

Given: To find: Rotation transformation

EXERCISE 3.16 Collar A is welded to the vertical shaft, so is constant. The rectangular plate is welded to shaft BC, and xyz is a coordinate system that is attached to the plate. Splines prevent shaft BC from rotating relative to the collar, so = 0, in which case the yz plane is always situated in the vertical plane. The system is rotated by y = 75° about the vertical axis; the value of 0 is 30º. Determine the rotation transformation from relating components relative to the initial and final xyz coordinate system. From this result determine the angle between the initial and final orientations of the y axis. spu (Hint: take point C as the origin of frame XYZ that is coincident with frame xyz before the rotation. Rotation axis Z' passes point C and is vertically upward. X' coincides with X.)

EXERCISE 3.16 Collar A is welded to the vertical shaft, so is constant. The rectangular plate is welded to shaft BC, and xyz is a coordinate system that is attached to the plate. Splines prevent shaft BC from rotating relative to the collar, so = 0, in which case the yz plane is always situated in the vertical plane. The system is rotated by y = 75° about the vertical axis; the value of 0 is 30º. Determine the rotation transformation from relating components relative to the initial and final xyz coordinate system. From this result determine the angle between the initial and final orientations of the y axis. spu (Hint: take point C as the origin of frame XYZ that is coincident with frame xyz before the rotation. Rotation axis Z' passes point C and is vertically upward. X' coincides with X.)

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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Question

EXERCISE 3.16 Collar A is welded to the vertical shaft, so is constant.
The rectangular plate is welded to shaft BC, and xyz is a coordinate
system that is attached to the plate. Splines prevent shaft BC from
rotating relative to the collar, so p = 0, in which case the yz plane is
always situated in the vertical plane. The system is rotated by y = 75⁰
about the vertical axis; the value of 0 is 30°. Determine the rotation
transformation from relating components relative to the initial and final
xyz coordinate system. From this result determine the angle between
the initial and final orientations of the y axis.
(Hint: take point C as the origin of frame XYZ that is coincident with frame xyz before the
rotation. Rotation axis Z' passes point C and is vertically upward. X' coincides with X.)
squ

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