In a mechanical experiment to calculate cable tension, three cables attached to points B, C, and...

 

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In a mechanical experiment to calculate cable tension, three cables attached to points B, C, and D were used to suspend an object of mass m at point A and as a result tensions T1, T2, and T3 were generated in cables AB, AC, and AD respectively. If the object is stationary, the sum of the tension components in the x, in the y, and in the z directions must each be zero. This requirement gives rise to the following three equations: T1 372 T3 %3| V35 V34 V42 3T1 V35 4T3 %3D V42 器 -1 5T1 5T2 5T3 V42 %3D V35 The three equations above are of the form V34 Ax = b. Solve for the tensions T1, T:, and T3 using the MATLAB left division operator. Save the file as cable.m. [10 marks] Hint simply use x A\b to obtain the answer. In a mechanical experiment to calculate cable tension, three cables attached to points B, C, and D were used to suspend an object of mass m at point A and as a result tensions T1, T2, and T3 were generated in cables AB, AC, and AD respectively. If the object is stationary, the sum of the tension components in the x, in the y, and in the z directions must each be zero. This requirement gives rise to the following three equations: T1 372 T3 %3| V35 V34 V42 3T1 V35 4T3 %3D V42 器 -1 5T1 5T2 5T3 V42 %3D V35 The three equations above are of the form V34 Ax = b. Solve for the tensions T1, T:, and T3 using the MATLAB left division operator. Save the file as cable.m. [10 marks] Hint simply use x A\b to obtain the answer.

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