Three blocks are connected by a weightless cord and rest on the ground as shown. Take m1 = 25 kg, m2 = 50 kg, m3 = 100 kg.
A) Draw the free body diagram (FBD) and write the equations of motion in matrix form using the law {Fx = ma (along the x-direction)}. Identify if this results in a diagonally dominant coefficient matrix and show if the solution converges using the Gauss-Seidel method in the current form.
B) Formulate using Gauss-Seidel and Gauss-Jordan methods to determine the solution (acceleration (a), tension (T), and the cord portion between m2 and m3, tension (R) in the cord between m1 and m2).
C) Solve to find the exact and approximate solution (a, T, R) using the formulated equations.