# Compound pendulum (momemt of inertia)

## Description

A compound pendulum is a body formed from an assembly of particles or continuous shapes that rotates rigidly around a pivot. Its moments of inertia is the sum the moments of inertia of each of the particles that is composed of.

Any swinging rigid body free to rotate about a fixed horizontal axis is called a compound pendulum or physical pendulum. The appropriate equivalent length L for calculating the period of any such pendulum is the distance from the pivot to the center of oscillation.

The Moment of Inertia of the body can be calculated by the period of oscillation, the mass and the distance from the pivot point to the centre of mass of the object.

## Variables

I_{P} | Moment of inertia of the pendulum (kg*m^{2}) |

m | Mass of the object (kg) |

g | Local acceleration of gravity (m/s^{2}) |

r | Distance from the pivot point to the centre of mass of the object (m) |

t | Period (duration) of oscillation (sec) |

π | pi |