Find the transformation matrix for the following rotations:1) Rotate a about the original x-axis (in frame 0). (Xo, Yo, Zo) → (X₁,Y₁,Z₁);2) Followed by a rotation of B about current z-axis (in frame 1). (X₁,Y₁,Z₁)→ (X₂, X₂, Z₂);3) Followed by a rotation of y about Xo -axis (in frame 0). (X2, Y, Z₂)→ (X3, Y, Z3);4) Followed by a rotation of about Z3 - axis (in frame 3). (X3, X3,Z3) → (X,Y4, Z4).EF3$RFF4Q SearchDII%5F5TF66YPREF7&H7PrtScn F8U8HomeEnd

Given:The following rotations are performed to get the required transformation matrix:

Find the transformation matrix for the following rotations: 1) Rotate a about the original x-axis (in frame 0). (Xo, Yo, Zo) → (X₁,Y₁,Z₁); 2) Followed by a rotation of ß about current z-axis (in frame 1). (X₁,Y₁,Z₁)→ (X₂, Y₂, Z₂); 3) Followed by a rotation of y about X, -axis (in frame 0). (X₂, Y2, Z₂)→ (X, Y3, Z3); 4) Followed by a rotation of about Z3 - axis (in frame 3). (X3, X3,Z3) → (X4Y4, Z4).

Find the transformation matrix for the following rotations: 1) Rotate a about the original x-axis (in frame 0). (Xo, Yo, Zo) → (X₁,Y₁,Z₁); 2) Followed by a rotation of ß about current z-axis (in frame 1). (X₁,Y₁,Z₁)→ (X₂, Y₂, Z₂); 3) Followed by a rotation of y about X, -axis (in frame 0). (X₂, Y2, Z₂)→ (X, Y3, Z3); 4) Followed by a rotation of about Z3 - axis (in frame 3). (X3, X3,Z3) → (X4Y4, Z4).

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

See similar textbooks

Similar questions

Use rotation about the current frame to calculate the transformation matrix for a rotation of 90° about yo axis and then 90° about zo axis.
6- if A=[ and B is 3x3 uit matrix -2 Pind AB)
1. What value of x satisfies the matrix equation 2. Solve for x and y in the matrix equation below: [34 y [x-3 1 2 [2-3] 2 3. For matrices A=0 L7 4. The matrix product and B= [2 -3 -4 0 1 5 4 2 [10 3 x-8 2 6x 7' 0 3x-2 2 0 -20 1 0 4 P 1 34 7x+147 5 9] the matrix 3(4¹ +2B) is equal to? 4 3 -1 -3 3x
7(d) Write the 4X4 rotational transformation matrix when the rotation is around Z-axis and an angle of 30oin the anti-clockwise direction.
Let R correspond to a right-hand rotation of angle about the x3-axis. (a)Find the matrix of R². (b)Show that R² corresponds to a rotation of angle 20 about the same axis. (c)Find the matrix of R" for any integer n.
Define: cartesian space Forward kinematics Matrix
CAM/CAM Write the transformation matrices with its coordinates that you needed to transform figure (5) to figure (6) as shown below. (Note: Just a procedure with dimensions). Y-axis (0.5,4) (0.5, 1) Figure (5) (34) (4,4) (3, 1) (4,1) (5, 1) X-axis Y-axis Figure (6) pls solve quaickly X-axis
Find the eigenvectors of matrix A
Determine the rotation matrix for the following rotation of 45° about X axis rotation of 45° about Y axis, rotation of 90° about Z axis
V-axis X-axis A Figure 1. An object (yellow point) travels from point A to point B along the arc of a circle that is centered at point O (red point). velocity of an object, either due to a change in speed or direction, means the object is accelerating. According to Newton's second law, an object will accelerate only if there is a non-zero total force acting on the object. For uniform circular motion, it turns out that this force must always be pointing towards the center of the circle that the object is travelling around and we say that there is a centripetal force present. You can use Newton's second law and a little bit of geometry to understand why an object undergoing uniform circular motion must be experiencing a force that is pointing towards the center of the circle the object is travelling on. If the acceleration vector pointed above or below the plane of the circle, the velocity vector would also end up pointing out of the plane that the circle is on. Since the velocity vector…
Copy of Based on the kinematic system below If we rotate (A-B) 90 degrees counter-clockwise, and (B-P) 90 degrees clockwise where will be the point P y (2,4) Kinematic skeleton 42) O (4,4) (4,6) (6,4) O (6,6)
Frame {2} is rotated with respect to frame {1} about the x-axis by an angle of 60°. the position of the origin of frame {2} as seen from frame {1} is 'D2=[9.0 7.0 9.0]". Obtain the transformation matric 'T2, which describes frame {2} relative to frame {1}. Also, find the description of point P in frame {1} if ²P = [4.0 6.0 8.0]".