Consider the model of the free damped nonlinear pendulum given by

Use a numerical solver to investigate whether the motion in the two cases λ² – ω²  0 and λ²-ω² < 0 corresponds, respectively, to the overdamped and underdamped cases discussed in Section 5.1 for spring/mass systems. For

λ² – ω² > 0, use λ = 2, ω = 1, θ(0) = 1, and θ'(0) = 1 For

y² – ω² < 0, use λ = 1/3, ω = 1, θ(0) = -2, and θ'(0) = 4.

Transcribed Image Text:

d20 + 2 dr de + w? sin 0 = 0. dt