compound pendulum

In a compound pendulum, the mass is distributed along its length.

For a real pendulum consisting of a swinging rigid body, called a 'compound pendulum', the length is more difficult to define.

As anyone knows who has missed a bus, there comes a speed at which the compound pendulum begins to fail as a good system for locomotion.

In the following analysis, the limbs are taken to be identical compound pendulums of length and mass , and the motion is restricted to two dimensions.

Its movement is constrained to a circle around the pivot point, so it can be considered to be a compound pendulum that consists of a single mass point.

By his study of the oscillation period of compound pendulums Huygens made pivotal contributions to the development of the concept of moment of inertia.

In 1673 Christiaan Huygens introduced this parameter in his study of the oscillation of a body hanging from a pivot, known as a compound pendulum.

To avoid spurious motions of the optical components due to seismic noise; each component is isolated by a 10 m high, very elaborate system of compound pendulums.

A pendulum consisting of any swinging rigid body, which is free to rotate about a fixed horizontal axis is called a compound pendulum or physical pendulum.

A compound pendulum (or physical pendulum) is one where the rod is not massless, and may have extended size; that is, an arbitrarily shaped rigid body swinging by a pivot.

The clock (which appeared on the cover of the Horological Journal for August 2001) has a massive compound pendulum which beats at 2.5 seconds and an escape wheel which turns in five minutes.

Huygens also solved the issue of how to calculate the period of an arbitrarily shaped pendulum (called a compound pendulum), discovering the center of oscillation, and its interchangeability with the pivot point.

A limited edition of thirty-five half-size replicas, known as 'Concord clocks', Harrison style with grasshopper escapement and compound pendulum, was made by E. Dent and has the dimensions 30" high, 14" wide, 11" deep.

The natural frequency of oscillation of a compound pendulum is obtained from the ratio of the torque imposed by gravity on the mass of the pendulum to the resistance to acceleration defined by the moment of inertia.

Considering the walking legs as two limbs of a compound pendulum, one straight, the other jointed, McMahon computed what would happen at various velocities and limb lengths, applying the classical mechanical equations of the early-19th-century mathematician Joseph Louis Lagrange.

A compound pendulum is a body formed from an assembly of particles or continuous shapes, and its moment of inertia is the sum of the moments of inertia of all of the components in this assembly about the pivot point.

Several variants of the double pendulum may be considered; the two limbs may be of equal or unequal lengths and masses, they may be simple pendulums or compound pendulums (also called complex pendulums) and the motion may be in three dimensions or restricted to the vertical plane.