The question is to give explicit Affine transformation taking any one of these 3 parallelograms to another. (),B = ), and CLet A =be points in II. Define the points%3DD1 = A + B – C = (_;), D2 = C + A – B =C), D3 = B + C – A =Give explicit invertible linear maps relating any two of the three parallelogramsABCD,, ABC D2 and ABC D3. c= )D; = )D, = ()%3DA = )D, = )

Answered: Image /qna-images/answer/23b8472e-0fe1-42e7-a0ea-580047819ec4.jpg

Let A = (6), B = (,), and C C) be points in II. Define the points %3D D, 3D A + B — С %3 = (_;), D2 = C + A – B = (), D3 = B + C – A = | | Give explicit invertible linear maps relating any two of the three parallelograms АВCD,АBCD2 and ABCD3-

Let A = (6), B = (,), and C C) be points in II. Define the points %3D D, 3D A + B — С %3 = (_;), D2 = C + A – B = (), D3 = B + C – A = | | Give explicit invertible linear maps relating any two of the three parallelograms АВCD,АBCD2 and ABCD3-

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.43P

See similar textbooks

Related questions

Q: Q1) Draw the following two dimensional model using AutoCAD commands? Ellipse(major diam. 70, minor…

A: Given:- Draw the given two dimensional model using Autocad command.

Q: The method used in position analysis to yield results with high degree of accuracy is called O…

A: The method used in position analysis to yield result with high degree of accuracy is called…

Q: 3. Given the following data of a closed traverse LINE DISTANCE (m) BEARING 1-2 31.20 N 15°24' E 2-3…

A: Given Data: Line Distance Bearing 1-2 31.20 N 15°24' E 2-3 28.50 S 82°32' E 3-4 S 33°09'…

Q: (1) The Horizontal component 2H of the given system (unit is in N) is

Q: Find an LU decomposition of: x+y+z=3 2x-y-z=3 x-y+z=9

Q: In graphics draw the Unitary vectors that we use in curvilinear movements: a) In Polar coordinates…

Q: The graph of PL versus L is shown in the figure, what is the value of the y-intercept?

A: Given data as per question Y-axis intercept =P.L x-axis intercepter =L We know, P=nRT/V

Q: Chnpter 2 Basic Knowledge of Orthogonal Projection 2 E n iR Draw the three views of the components…

Q: Q3) For the Fig. Q3 shown below: 1- Assign the coordinate frames base on D-H representation. 2- Fill…

A: Tii-1=cθi-sθi0αi-1sθicθi-1cθicαi-1-sαi-1-sαi-1disθisαi-1cθisαi-1cαi-1cαi-1di0001 a0=0; α0=0° ;…

Q: Q1: * Q1 Calculate The Inverse Of The Matrix: [4 0 4 A= 2 -2 4 li 3 -1 1 Add file Q2: Using Green's…

A: The stepwise procedure to solve this problem is shown in the following attached image:

Q: A FIND AUXILIARY VIEV OF SURFACE A R. FIND AUXILIARY VIEW OF SURFACE A C. DRAW AUXILIARY VIEV OF…

A: A

Q: Draw the projection of the following points on a common reference line 1. Point Ris on the VP, 40 mm…

Q: Passengers in this bus undergo motion. translational brownian general plane curvilinear

Q: The arbitrary point can be represented using a standard cartesian system. true O false

Q: List the vertices of the polygon above when it is represented using a vector data model.

A: Writing the vertices for vector data model for this closed figure as: - (0,0) (2,1) (2,0) (0,0)

Q: Determine m k.q and ce for an equivalent system model of the system of Fig. 1-54 using x as the…

Q: Position of a particle in a rectangular- co-ordinate system is (5, 2, 3). Then its position vector…

A: Given data: Coordinates=5,2,3 Need to determine the position vector.

Q: A BO O2 50 06 D 320 120 320 %3D Link lengths are 02A = 160, AB = 300, BC = 230, and. All dimensions…

A: For solution refer below images.

Q: 2. Make a block diagram for the following set of equations: s²X,(s) = 5sX1(s) + 7X1(s) – U (s) Y (s)…

Q: A force of magnitude 10N moves a slider from A(6,-8,0) to D(0, 16, 12) at a constant speed of 5m/s.…

Q: Use the matrix relations to fit a straight line to the data 01234 89431

Q: Generate a plot of y(x) = e-0.7x sin Wx where W 15 rad/s, and 0<x< 15. Use the colon notation to…

A: If the given expression is Y(x)=e-0.7*xplots is given above MATLAB code as follows: clc…

Q: What is the transformation matrix T for the case below? If position vector is given as PoN=[0 0 of…

A: Transformation matrix Ta b for vector: Position vector →Paba= (0 0 0)T

Q: Matrixs A, B and C are m x n, n x n and n x m, respectively. The CAB matrix is sized...

Q: Q1) Draw the following two dimensional model using AutoCAD commands? Ellipse (major diam. 70, minor…

A: Different types of commands used in AutoCad are: Line Circle Chamfer Filled Dimension Offset…

Q: Compute the dot product Ū -V for each of the following cases: Ü =3j+5k (f); V = 6î – 3j+2k (f) b. Ü…

Q: A 1 an -10 -5 10 B x = 8-y? x = y? – 8 Figure 1 Refer to the Figure 1, (a) Shade the region enclosed…

A: The cross lines (in the below figure) specifies the region enclosed between the graph x= 8-y2 and x=…

Q: Position of a particle in a rectangular coordinate system is (3, 2, 5). Then its position vector…

Q: b Force F(r) k 12 M2

A: At equilibrium Ft=m1y¨1+by˙1+k1y1+k2y1-y2 ....1

Q: 5. Homogeneous coordinates are needed for transformation. Translation All of the choices Rotation…

A: Similar to how cartesian coordinates in Euclidean geometry are utilized, homogeneous coordinates are…

Q: Redraw each item and identify the degrees of freedom of the system and list the possible generalized…

Q: 5. When two frames have the same orientation, then the (W,P,R) values of their corresponding frame…

A: ****As per our company policy we are supposed to do only 1 question if you need the rest Question…

Q: Two vectors have magnitudes of 10m and 15 m. The angle between them when they are drawn with their…

A: Given: Two vectors Magnitude 10 m and 15 m To Find: The components of the longer vector along line…

Q: 3. sin' xcos' xdx

A: to determine- value of the integration.

Q: A four-bar mechanism is used to transmit power to slider E. Link AC rotates counterclockwise at 100…

A: Given DataNAC=100rpmAC=35cmCD=45cmBD=45cmDE=40cmωAC=2πNAC60=10.47rad/s ***As per our company policy…

Q: 2.11 A point Q moves from A to B along link 3 while linke 2 rotates from 0 = 30 deg to O' = 120 deg.…

A: Given: TO find the absolute displacement of Q.

Q: The graph to the right shows velocity vs. time for a cart on a track with a friction pad attached.…

A: Given:

Q: Draw the mechanism when the driver link 2 is at 90 degrees with respect to the mechanism ground…

A: angle of ground and link 2 = 90 degrees i draw modeling in solid works

Q: 9. Given two known frame transformations “Tc and BT, can be determined as TB, the unknown frame…

A: Given: Two known frame transformation ATC and CTB The unknown frame transformation BTA is to be…

Q: 16. The entire top surface on the part below must be flat within 0.5 but each 25 X 25 patch must be…

A: The answer to the above mentioned question is given below

Q: Solve The following functions by using Laplace transforaahins %3D

A: Here to solve the differential equation by the Laplace transformation, We need to know the following…

Q: Problem 2: Kinematics Consider a planar 1 DOF ayatem shown below. As- sume all coordinates are zeros…

Q: ximize Z = 10x1 + 20x2,

Q: THE FIGURE IS NOT DRAWN TO SCALE. Also, A and E are BOTH pinned (hinged) supports (even though…

Q: Given frames {A}, {B} and {C} as shown below, find transformation matrix from B to A, and from C to…

A: Given data

Q: a. Find the volume of the parallelepiped whose edges are represented by A = 2i - 3j + 4k, B= 1 + 21-…

A: Note: As per Bartleby guidelines for more than one questions asked only one question is to be…

Q: On drawing 31A059, what is the major diameter of the threaded hole? All abbreviations are standard

A: The given drawing is in metric dimensions. Thus the threads are also specified according to the…

Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

100%

The question is to give explicit Affine transformation taking any one of these
3 parallelograms to another.

(),B = ), and C
Let A =
be points in II. Define the points
%3D
D1 = A + B – C = (_;), D2 = C + A – B =
C), D3 = B + C – A =
Give explicit invertible linear maps relating any two of the three parallelograms
ABCD,, ABC D2 and ABC D3.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

What is the equivalent root of the system of the figure using the displacement of the block as a generalized coordinate
4. Use Geogebra and the Klein-Beltrami model to show that a pentagon with five right angles and a hexagon with six right angles can be drawn in hyperbolic geometry. Hint: Start with two lines that have a common perpendicular.Find the poles of those two lines, then draw an appropriate line through each pole, so on.
Draw the operating curves of the given system on the graph using all necessary curves in excel ÖN = 5 so you must choose the correct H equation
Two endpoints of a line are (4,1,5) and (2,4,8). First, the line is rotated by angle 60 CCW about the x-axis. Then it is scaled by a factor of 3 with respect to the origin. Find the coordinates of the endpoints of the transformed line. Please explain nicely and write nicely. Thanks
Figure 1 illustrates transformation involving a frame. Construct the transformation matrix of point C relative to point A.
4. show complete STEP BY STEP solution, and draw a FBD.
ENGINEERING MECHANINICS solve for the moment at A
In your own words with no google, how do you add vectors using parallelogram method graphically
Answer using GRAPHICAL METHOD. Make a representation of the following vector quantities a. A velocity of 20m/s north b. A force of 2000 dynes 45° east of south c. An acceleration of 5m/s2 at 200° d. A displacement of 14m 100° from +x-axis e. A force of 250N at 60° clockwise +x-axis
The entire top surface on the part below must be flat within 0.5 but each 25x25 patch must be flat within 0.1. Apply the necessary geometric controls to achieve this result. Please refer to the attached image.
3 points are plotted in the x, y, & z-plane as follows: A(-1,0,3); B(4, 2, 0); C(0,-1,-1). Establish a position vector from point B to point A. Please include a free-body diagram if possible. Choices are as follows: a) 0.81i + 0.32j - 0.49kb) 0.78i + 0.59j - 0.20kc) 0.24i - 0.24j - 0.94kd) 0.81i + 0.32j + 0.49ke) 0.81i - 0.32j + 0.49kf) 0.24i + 0.24j + 0.94kg) 0.78i - 0.59j - 0.20kh) 0.81i - 0.32j - 0.49ki) 0.78i + 0.59j + 0.20kj) 0.78i - 0.59j + 0.20kk) 0.24i - 0.24j + 0.94kl) 0.24i + 0.24j - 0.94k
draw the multiview projection of the isometric