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MATLAB 1. Consider the following pendulum problem. O is the angle from the bottom, i.e., the location of the equilibrium point. In the following problems,

MATLAB

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1. Consider the following pendulum problem. O is the angle from the bottom, i.e., the location of the equilibrium point. In the following problems, numerically compute the state of this system, X = [0,0]T, given X(0) = [00, 6.]T. The time step should be defined so that solutions become consistent. Assume that m = 1.0 kg. In the following discussions, use the numbers in radians. m Figure 1: Pendulum system in which a mass, m, is connected with a ceiling with a non- deformabile read with a Yebeth of which a mass, (a) Consider the equation of motion when 0 is large. Write a program code to compute the time evolution of e. i. Give X at t = 10 sec when X(0) = [60,07,1 = 10 m, and g = 9.81 m/sec. 1. Consider the following pendulum problem. O is the angle from the bottom, i.e., the location of the equilibrium point. In the following problems, numerically compute the state of this system, X = [0,0]T, given X(0) = [00, 6.]T. The time step should be defined so that solutions become consistent. Assume that m = 1.0 kg. In the following discussions, use the numbers in radians. m Figure 1: Pendulum system in which a mass, m, is connected with a ceiling with a non- deformabile read with a Yebeth of which a mass, (a) Consider the equation of motion when 0 is large. Write a program code to compute the time evolution of e. i. Give X at t = 10 sec when X(0) = [60,07,1 = 10 m, and g = 9.81 m/sec

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