# Swinging Pendulum

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This Demonstration shows an animated model of a pendulum suspended from a swinging arm.

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Contributed by: Erik Mahieu (August 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

If is the density of the material, is the length of the arm, and is the length of the pendulum rod, the moment of inertia of the arm is , and the moment of inertia of the rod is .

The Lagrangian of the system is:

and the equations of motion are:

,

.

## Permanent Citation