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ENGR 1990 Engineering Mathematics Lab/Recitation #8 – 2D Vectors and Solving Simultaneous Equations 1. A weight of 500 (lb.) is supported by the two wires as shown. acting at point A to zero F 0 , complete the following. By setting the sum of the forces a) Find the two equations that must be solved to find the magnitudes of the forces FAB and FAC . b) Solve the two simultaneous equations using the methods of substitution and Cramer’s rule. C B 5 3 4 5 3 A 4 A W Free Body Diagram (FBD) 2. For the double-loop DC circuit shown, the currents I1 and I 2 can be found by solving the following simultaneous equations. R1 R3 I1 R3 I 2 V1 R3 I1 R2 R3 I 2 V2 Given the resistances R1 5() , R2 6 () , and R3 10 () , and the voltages V1 24 (volts) , and V2 6 (volts) , find the currents I1 and I 2 using substitution and matrix inversion. 1/1