A) Prove that the tool Jacobian matrix of the 3R Planar robot (shown in thefigure) is given by the matrix below:-LS-LS-LS123 - L₁₂S12-L3 123-35123]V(a)=49+L2 + L3G231L₂G12 + L3G1231B) Find the singular configuration of the robot.ჩვ.L3C123102 L2

The image you sent is a solved problem from a mechanics textbook that considers a 3R robotic arm…

Answered: A) Prove that the tool Jacobian matrix…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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I am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is matrices that are not equal to each other. But, if I were to use the 'ZYX' sequence, I would get a matrix that is equal to the transpose of the matrix produced by my function.I mean that transpose(EA123toDCM) = E123toDCM if I changed the sequence to 'ZYX'. I never got two equal matrices. Can you fix my code so I would get two equal DCM matrices for the body 1-2-3 sequence? Also, for the E123toDCM line, I am using the sequence 'XYZ'. Is that correct or should it be 'ZYX'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'XYZ') function [R] = EA123DCM(EA) theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 =…
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I am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is a matrix that is transpose of each other. I mean that transpose(EA123toDCM) = E123toDCM. Why is that? Also, for the E123toDCM line, I am using the sequence 'ZYX'. Is that correct or should it be 'XYZ'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'ZYX') function [R] = EA123DCM(EA) theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 = @(a)[1 0 0 ; 0 cos(a) -sin(a); 0 sin(a) cos(a)]; R2 = @(a)[cos(a) 0 sin(a) ; 0 1 0 ; -sin(a) 0 cos(a)]; R3 = @(a)[ cos(a) -sin(a) 0; sin(a) cos(a) 0;…
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A) Prove that the tool Jacobian matrix of the 3R Planar robot (shown in the figure) is given by the matrix below: -LS-LS-LS123 - L₁₂S12-L3 123-35123] V(a)=49+L2 + L3G23 1 L₂G12 + L3G123 1 B) Find the singular configuration of the robot. ჩვ. L3C123 1 02 L2