Answer Happy

Consider an elastic pendulum shown in the below figure. The motion of the system is described by the following two second-order differential equations: k Ï = L)2 + g cos e (L – L.) . g ä = -2 L where Lo is the unstretched length of the pendulum. Assume g = 9.81 m/s², m = 5 kg, Lo = 1 m, k = 500 N/m. The initial conditions are m -27 0 - sine L(0) = , (0) = 0,8(0) = 5, 0(0) = 2 rad = = Write a computer program to numerically solve the initial-value problem using the time step h = 0.01 second and the methods second-order Runge-Kutta Plot each of e(t), '(t), L(t), and i(t) from the methods versus t for 10 seconds in the same graph. 0(t) ( L(t) m