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Fix my MATLAB code. % Define unknown quantities

Fix my MATLAB code. % Define unknown quantities

Elements Of Electromagnetics
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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Fix my MATLAB code.

% Define unknown quantities in x-y system
% abc = Acceleration of B wrt C on beam CD in i direction
% vbc = Velocity of B wrt C on beam CD in i direction
% xacd = Angular acceleration of beam CD in k direction
% xvcd = Angular velocity of beam CD in k direction
syms abc vbc xacd xvcd;
% Create Unit Vectors in x-y coordinates
i = [1,0,0];
j = [0,1,0];
k = [0,0,1];
% Create Unit Vectors in X-Y coordinates (R is rotation Matrix)
Theta = 150; % Angle from X-axis to x-axis
R = [[cosd(Theta),-sind(Theta), 0]; ...
[sind(Theta), cosd(Theta), 0]; [0, 0, 1]];
XYZ = R*[i;j;k];
I = XYZ(1,:);
J = XYZ(2,:);
K = XYZ(3,:);
% Set known quantities for Beam AB (no slider connection).
xVab = -2.5*K; % Angular Velocity of Beam AB
xAab = -3*K; % Angular Acceleration of Beam AB
Rba = 0.2*(cosd(135)*I + sind(135)*J ); % Vector from A to B in X-Y
% Calculate velocity and acceleration of point B
% due to rotation of Beam AB (no slider connection).
Vb1 = cross(xVab,Rba);
Ab1 = cross(xAab,Rba) - dot(xVab,xVab)*Rba;
% Set Motion of moving reference frame (x-y wrt X-Y).
xV = xvcd*k;
xA = xacd*k;
% Set Motion of B wrt moving frame (x-y).
Rbc = 0.15*i;
Vbc = vbc*i;
Abc = abc*i;
% Calculate velocity and acceleration of point B
% due to rotation of beam CD (slider connection).
Vb2 = cross(xV,Rbc)+ Vbc;
Ab2 = cross(xA,Rbc) + cross(xV,cross(xV,Rbc)) + 2*cross(xV,Vbc) + Abc;
% Set velocity and acceleration equations equal for point B and solve.
Z = [Vb1(1)-Vb2(1),Vb1(2)-Vb2(2),Ab1(1)-Ab2(1),Ab1(2)-Ab2(2)];
[abc,vbc,xacd,xvcd] = solve(Z(1),Z(2),Z(3),Z(4));
abc = eval(abc)
vbc = eval(vbc)
xacd = eval(xacd)
xvcd = eval(xvcd)
Problem 5.5: The "quick-return" mechanism consists of a crank AB, slider block B, and slotted link CD. If the crank has the angular motion shown, determine the angular motion of the slotted link at this instant. 0-3 rad/s 9rad/s CD-aco 100 min 30% 300 mm Figure for Problem #5 Save the program in a file called DynLabProb5_5.m. Once you are sure each program is working correctly, copy MATLAB's solutions into the bottom of each of your programs and place "" in front of each line so it will be interpreted by MATLAB as a comment. Then resave the program with the solution included at the bottom.
Transcribed Image Text:Problem 5.5: The "quick-return" mechanism consists of a crank AB, slider block B, and slotted link CD. If the crank has the angular motion shown, determine the angular motion of the slotted link at this instant. 0-3 rad/s 9rad/s CD-aco 100 min 30% 300 mm Figure for Problem #5 Save the program in a file called DynLabProb5_5.m. Once you are sure each program is working correctly, copy MATLAB's solutions into the bottom of each of your programs and place "" in front of each line so it will be interpreted by MATLAB as a comment. Then resave the program with the solution included at the bottom.
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