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.
Variables
π | pi |
f | The ordinary frequency (Hz) |
m | Mass of the object (kg) |
g | Local acceleration of gravity (m/s2) |
r | Distance from the pivot point to the centre of mass of the object (m) |
IP | Moment of inertia of the pendulum (kg*m2) |