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This Demonstration simulates the motion of a rigid pendulum pivoted, with no friction, to a rotating
flywheel. The pendulum is forced to spin on its axes by the flywheel's angular motion and at the same it
can swing in a fixed 2D plane. The system has two degrees of freedom: , which is the pendulum's swing
angle, and , which is the flywheel's rotation angle. The two nonlinear equations of motion are derived
using the Lagrangian energy method.
Rigid body pendulum on a flywheel
June 8, 2011 compiled on — Wednesday July 06, 2016 at 08:29 AM
The two equations are solved numerically and the motion is simulated. Interesting motion profiles can
be observed by changing the system parameters and the initial conditions.