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Pendulum (mechanics)

A pendulum is a body suspended from a fixed support that freely swings back and forth under the influence of gravity. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back towards the equilibrium position. When released, the restoring force acting on…

Simple gravity pendulum, Small-angle approximation & Arbitrary-amplitude period

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Overview

Simple gravity pendulum

Small-angle approximation

Rule of thumb for pendulum length

Arbitrary-amplitude period

Approximate formulae for the nonlinear pendulum period

Arbitrary-amplitude angular displacement

Examples

Compound pendulum

Damped, driven pendulum

Physical interpretation of the imaginary period

Coupled pendula

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Pendulum (mechanics)

Nodes77
Edges76
Triples0
Avg. degree1.97
Density0.025974
Components1

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Important terminology

displaystyle frac theta pendulum sin ell cos right period left sqrt pi bob angle approximation simple dt velocity end force

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