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Lecture 27 Homework Problem 27.1 a) Do problem 6.70 in Rao as written. b) Compare your answer to Simulink using k = 1000, m = 10, and x& 3 (0) = 3 . Include plots of your results and well as a plot of the Simulink solution minus the theoretical solution for all three coordinates. Use k = 1000, m = 10, and xdot30 x& 3 (0) = 3 . You should have plots that looks something like the following: X1 0.5 simulink theory 0 -0.5 0 1 2 3 4 5 6 7 8 9 10 X2 0.5 simulink theory 0 -0.5 0 1 2 3 4 5 6 7 8 9 10 X3 0.5 simulink theory 0 -0.5 0 1 2 3 -3 5 4 5 6 7 8 9 10 7 8 9 10 7 8 9 10 7 8 9 10 Simulink - theory for x1 x 10 0 -5 0 1 2 3 -3 5 4 5 6 Simulink - theory for x2 x 10 0 -5 0 1 2 3 4 5 6 Simuilnk - theory for x3 0.01 0 -0.01 0 1 2 3 4 5 6