Compound pendulum ( ordinary frequency )

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 ( or ordinary frequency ) of any such pendulum is the distance from the pivot to the center of oscillation.
The natural frequency of a compound pendulum depends on its moment of inertia.

Related formulas

Variables

πpi
f The ordinary frequency (Hz)
mMass of the object (kg)
gLocal acceleration of gravity (m/s2)
rDistance from the pivot point to the centre of mass of the object (m)
IP Moment of inertia of the pendulum (kg*m2)