The equation of motion of a damped, unforced pendulum is 0+0+ sin 0 = 0. m The total energy of the pendulum is E = ml2/2+mgl(1- cos(0)). Suppose a pendulum has m = 2, g = 9.81, l = 3, and coefficient of friction = 0.5, all in SI units. Write a well-commented script program that uses the Modified Euler's method with h = 0.01 to simulate the movement of the pendulum from a starting position of (0(0), 8(0)) = (.9, 0) until the energy falls below 0.01 Joules (use a while loop). Record the steps in matrices Y and T and plot the motion. Turn in your program and plot.