For the simple pendulum shown in Figure CP2.7, the nonlinear equation of motion is given by

where L = 0.5 m, m = 1 kg, and g = 9.8 m/s2. When the nonlinear equation is linearized about the equilibrium point θ = 0, we obtain the linear time-invariant model,

Create an m-file to plot both the nonlinear and the linear response of the simple pendulum when the initial angle of the pendulum is θ(0) = 30° and explain any differences.

6(1) +- sin -0. l, length , MR5S FIGURE CP2.7 Simple pendulum.