7-11. A 60 lb weight is suspended by two cables, as shown in Fig. P7.11. The...

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7-11. A 60 lb weight is suspended by two cables, as shown in Fig. P7.11. The ten- sions T and T satisfy the following sys- tem of equations: T cos(30) = T cos(45) Tsin(30) + T sin(45*)-60=0 (a) Write the system of equations in the matrix form Ax=b, where x= (b) Find T and T using the substitu- tion method. (c) Find T and T using the matrix algebra method. Perform all matrix computations by hand and show all steps. (d) Find T and T using Cramer's rule. L. 60 lb 30 Figure P7.11 A 60 lb weight suspended by two cables for problem P7-11. 7-11. A 60 lb weight is suspended by two cables, as shown in Fig. P7.11. The ten- sions T and T satisfy the following sys- tem of equations: T cos(30) = T cos(45) Tsin(30) + T sin(45*)-60=0 (a) Write the system of equations in the matrix form Ax=b, where x= (b) Find T and T using the substitu- tion method. (c) Find T and T using the matrix algebra method. Perform all matrix computations by hand and show all steps. (d) Find T and T using Cramer's rule. L. 60 lb 30 Figure P7.11 A 60 lb weight suspended by two cables for problem P7-11.