Please Use MATLAB and show script

Will rate for using 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, numerically compute the state of this system, X = (0,0", given X (0) = (0o,00). 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- deformable rod with a length of l. (a) Consider the equation of motion when 0 is large. Write a program code to compute the time evolution of 0. i. Give X at t = 10 sec when X(0) = [60,0)",1 = 10 m, and g = 9.81 m/sec2. x = [ AX 109 1 A x 100 B x 10-1 (1) ii. Give X at t = 10 sec when X(0) = [0, 59]?, 1 = 1 m, and g = 4.6 m/sec. x = 1 x 10-21 (2) | D x 10-2 iii. Give X at t = 10 sec when X(0) = (1,0]T,1 = 3.34 m, and g=3.2 m/sec. E x 10-2 F x 10-3 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", given X (0) = (0o,00). 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- deformable rod with a length of l. (a) Consider the equation of motion when 0 is large. Write a program code to compute the time evolution of 0. i. Give X at t = 10 sec when X(0) = [60,0)",1 = 10 m, and g = 9.81 m/sec2. x = [ AX 109 1 A x 100 B x 10-1 (1) ii. Give X at t = 10 sec when X(0) = [0, 59]?, 1 = 1 m, and g = 4.6 m/sec. x = 1 x 10-21 (2) | D x 10-2 iii. Give X at t = 10 sec when X(0) = (1,0]T,1 = 3.34 m, and g=3.2 m/sec. E x 10-2 F x 10-3