# Damped Spherical Spring Pendulum

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A damped spherical spring pendulum consists of a bob suspended by a spring from a fixed pivot. This Demonstration traces the path of the bob.

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Contributed by: Erik Mahieu (October 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The equations of motion are similar to those of the damped spherical pendulum with one additional degree of freedom, , and one more equation:

.

This equation expresses the longitudinal acceleration of the spring, which consists of four parts:

• gravity,

• spring elasticity,

• radial centrifugal force,

• tangential centrifugal force,

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