#Type/Example #Topic/Linear_Algebra

Types: N/A
Examples: N/A
Constructions: 27.6 Linearize the Nonlinear ODE for a Simple Pendulum
Generalizations: 27.4 The Coupled Pendula Problem

Properties: N/A
Sufficiencies: N/A
Questions: N/A

Motion of a Single Pendulum

To begin our work on 27.4 The Coupled Pendula Problem, we study a single pendulum (in isolation). Let's construct a simple gravity pendulum as an idealized mathematical model of a real pendulum.

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Our simple gravity pendulum consists of

  1. a bob (or weight)
  2. a massless, inextensible rod or cord
  3. a fixed, stable support apparatus

![[Motion of Single Pendulum.pdf]]