Overview
A compound pendulum consists of a rigid body swinging about a fixed horizontal axis. Unlike a simple pendulum, it accounts for the moment of inertia, and its time period is given by:

 

Where:

• T is the time period of the compound pendulum,

• I is the moment of inertia of the pendulum about the pivot,

• m is the mass of the pendulum,

• g is the acceleration due to gravity,

• r is the distance from the center of mass to the axis of suspension.

Significance
This experiment helps in understanding rotational dynamics and is used in engineering applications such as pendulum-based timekeeping devices.