what is double pendulum?

Question

how does it work? what is the frequency obtained? what will be the result if the masses differs?

Answer 1

In horology, a double pendulum is a system of two simple pendulums on a common mounting which move in anti-phase.

In mathematics, in the area of dynamical systems, a double pendulum is a pendulum with another pendulum attached to its end, and is a simple physical system that exhibits rich dynamic behavior. The motion of a double pendulum is governed by a set of coupled ordinary differential equations. Above a certain energy its motion is chaotic.

A double pendulum consists of one pendulum attached to another. Double pendula are an example of a simple physical system which can exhibit chaotic behavior.

Answer 2

A simple pendulum consists of a pivot, an rigid length of material attached to the pivot, and a mass attached to the other end of the rigid length.

A double (or complex) pendulum simply adds another pendulum whose pivot point is at the mass of the first pendulum.

As far as the details of this simple mechanical device, I'd suggest you get a good physics book which deals with classical mechanics (and, in particular, LaGrangian dynamics) and study up on it. It's a bit deep to cover here.


Doug

Answer 3

Do you mean a coupled pendulum? If so, how is it coupled? Are the two masses on the same string, but at different positions on the string?

Are they separate pendulums, coupled by rigid or elastic connectors between the strings? If so, where are the connectors located on the strings? If the "strings" are actually rods that extend beyond the pivot points, are the connectors opposite the pivot points on one or both pendulums? Finally, do both pendulums swing in the same plane, or is there a phase offset between the two planes of oscillation?

Answer 4

A pendulum attached to a pendulum. Another interesting quiestion would be what if the masses are equal but the lengths of the pendulum are different ;-)