The diagram below shows a double pendulum system. Assume the displacement angles of the pendulums are small enough to ensure that the spring is always horizontal. The pendulum rods are taken to be massless, of length \(l\), and the springs are attached \(2 / 3\) of the way down.

Derive two differential equations that model the motion of the double pendulum.

Transcribed Image Text:

m k Double Pendulum m