6.946 Driven Pendulum Project
نویسندگان
چکیده
We investigate several regions of parameter space of a driven pendulum system over which specific phenomena occur. The pivot on which the pendulum hangs is driven in the vertical direction by a periodic force A cos(ωt). We reuse code relevant to the driven pendulum system in SICM: Section 1.6.2 contains the Lagrangian for a driven pendulum in general, Section 1.7 provides for the specific case of the periodically driven pendulum, and Section 3.5 derives the Hamiltonian. The pendulum we investigate has m = 1 kg, g = 9.8 m/s and l = 9.8 m. The period (ω) and amplitude (A) of the drive are variable.
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