- Consider an underdamped undriven oscillator with a period of 1 s, starting from 80 = 0.1 and wo = 0. Sketch qualitatively correct vs t, and w vs t plots for several periods and an w vs plot consistent with these plots. Write the full non-linear, forced, damped pendulum equation without any approximations. Describe each of the components of the equation. (Note: this is not just describing the parameters, but each of the added components of the equation and describing what it represents.)