Question

1. A weight W is supported by two cables anchored a distance D apart as shown in the below figure. For D, L_AB, and L_AC, The angles, ? and ?, can be calculated using following equations based on the law of ? = cos^-1((D^2 + L_AB^2 - L_AC^2) / (2DL_AB)), ? = sin^-1((L_AB sin ?) / L_AC) (1) From force analysis, the two equilibrium equations in x and y directions are given as following: -T_AB cos ? + T_AC cos ? = 0 T_AB sin ? + T_AC sin ? = W (2) (a) Write a pseudo-code to find tensile forces in each cable using above equations with inputs, D, W, L_AB, and L_AC. (b) Write a user function, [T1, T2]=CalculateForce(D, W, L1, L2) to find tensile forces in each cable. You can use matrix operations (inv or ) to solve the system equation (2) in your code. (c) With D=6 m, L_AB=3 m and W=2000 N, we want to find T_AB and T_AC by changing L_AC from 3.1 m to 4 m. Write a MATLAB code to plot a graph of T_AB and T_AC vs. L_AC in one figure window with labels in x and y axes. Use for-loop and subplot, xlabel and ylabel commands with the user function written in (b). (d) Load data1.mat file and calculate T_AB and T_AC using the value of D, L_AB, L_AC and W in the file.

          1. A weight W is supported by two cables anchored a distance D apart as shown in the below figure. For D, L_AB, and L_AC, The angles, ? and ?, can be calculated using following equations based on the law of
? = cos^-1((D^2 + L_AB^2 - L_AC^2) / (2DL_AB)), ? = sin^-1((L_AB sin ?) / L_AC) (1)
From force analysis, the two equilibrium equations in x and y directions are given as following:
-T_AB cos ? + T_AC cos ? = 0
T_AB sin ? + T_AC sin ? = W (2)
(a) Write a pseudo-code to find tensile forces in each cable using above equations with inputs, D, W, L_AB, and L_AC.
(b) Write a user function, [T1, T2]=CalculateForce(D, W, L1, L2) to find tensile forces in each cable. You can use matrix operations (inv or ) to solve the system equation (2) in your code.
(c) With D=6 m, L_AB=3 m and W=2000 N, we want to find T_AB and T_AC by changing L_AC from 3.1 m to 4 m. Write a MATLAB code to plot a graph of T_AB and T_AC vs. L_AC in one figure window with labels in x and y axes. Use for-loop and subplot, xlabel and ylabel commands with the user function written in (b).
(d) Load data1.mat file and calculate T_AB and T_AC using the value of D, L_AB, L_AC and W in the file.

1. A weight W is supported by two cables anchored a distance D apart as shown in the below figure. For D, LAB, and LAC, The angles, ? and ?, can be calculated using following equations based on the law of
? = cos^-1((D^2 + LAB^2 - LAC^2) / (2DLAB)), ? = sin^-1((LAB sin ?) / LAC) (1)
From force analysis, the two equilibrium equations in x and y directions are given as following:
-TAB cos ? + TAC cos ? = 0
TAB sin ? + TAC sin ? = W (2)
(a) Write a pseudo-code to find tensile forces in each cable using above equations with inputs, D, W, LAB, and LAC.
(b) Write a user function, [T1, T2]=CalculateForce(D, W, L1, L2) to find tensile forces in each cable. You can use matrix operations (inv or ) to solve the system equation (2) in your code.
(c) With D=6 m, LAB=3 m and W=2000 N, we want to find TAB and TAC by changing LAC from 3.1 m to 4 m. Write a MATLAB code to plot a graph of TAB and TAC vs. LAC in one figure window with labels in x and y axes. Use for-loop and subplot, xlabel and ylabel commands with the user function written in (b).
(d) Load data1.mat file and calculate TAB and TAC using the value of D, LAB, LAC and W in the file.

Added by Scott G.

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