Question

Goal: Solve for the loads of the chain saw under different loading conditions. The loads on a chain saw as it cuts a log can be represented with the following equations: Ar +B -R cos(60) 0 My-W +By - R sin(60)0 Ar is the reaction load in the x-direction at point A (lb) Ay is the reaction load in the y-direction at point A (Ib) W is the weight of the chain saw (lb) R is the reaction load on the top handle (b) B is the reaction load in the x-direction at point B(lb) By is the reaction load in the y-direction at point B (lb) where There are 5 different loading conditions shown in the table below: Condition 1 Condition 2 Condition 3 Condition 4 Condition 5 10 15 10 W| 14.5 | 14.5 | 20 | 20 I 20 10 15 10 10 Write a script or function (your choice) to accomplish the following tasks: a) For EACH loading condition above, solve the matrix form of the linear system of equations for the unknown loads R B, and By to satisfy the linear system of equations. HINT 1: What type of loop could you use to solve for the unknowns for EACH loading condition? What type of variable should you create to contain the unknowns for EACH loading condition? Create a plot to show the results. In subplot 1, plot the condition number (1-5) on the x-axis and reaction loads on the top handle R for each condition on the y-axis. In subplot 2, plot the condition number (1-5) on the x-axis and reaction load in the x-direction at point B B, for each condition on the y-axis. In subplot 1, plot the condition number (1-5) on the x-axis and reaction load in the y- direction at point B B, for each condition on the y-axis b) Plot ONLY a marker at each data point. Do NOT connect the points with a line Createx and y labels .Create a title Set the x and y axis limits. You must perform all formatting tasks using MATLAB commands in your code. You wil not get credit if you modify your figure after running the code.

please use matlab

Answer 1

Conditions=[5   10    5 10 15;
           10   5    10 15 10;
           14.5 14.5 20 20 20];
Unknown=zeros(size(Conditions));
A=[-cosd(60) 1 0;%coefficient of R,Bx,By
   -sind(60) 0 1;
  7*cosd(60) 0 8];
for i=1:5
    B=[Conditions(1,i);-Conditions(2,i)+Conditions(3,i);2*Conditions(3,i)+13*Conditions(2,i)+1.5*Conditions(1,i)];
    Unknown(:,i)=A\B;
end
subplot(3,1,1)
plot(1:5,Unknown(1,:),'*');
xlabel('Condition')
ylabel('R')
title('Reaction load on top handle')
xlim([1 5]);
subplot(3,1,2)
plot(1:5,Unknown(2,:),'o');
xlabel('Condition')
ylabel('B_x')
title('Reaction load in x direction at point B')
xlim([1 5]);
subplot(3,1,3)
plot(1:5,Unknown(3,:),'^');
xlabel('Condition')
ylabel('B_y')
title('Reaction load in y direction at point B')
xlim([1 5]);

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