https://github.com/auralius/lagrangian

Collection of problems in Mechanics solved with the Euler-Lagrange's method by using Maple
https://github.com/auralius/lagrangian

dynamics euler-lagrange-dynamics lagrangian maple mechanics

Last synced: 5 months ago
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Collection of problems in Mechanics solved with the Euler-Lagrange's method by using Maple

• Host: GitHub
• URL: https://github.com/auralius/lagrangian
• Owner: auralius
• Created: 2020-11-14T09:39:54.000Z (over 5 years ago)
• Default Branch: master
• Last Pushed: 2025-01-02T05:51:44.000Z (over 1 year ago)
• Last Synced: 2025-02-01T10:27:09.986Z (over 1 year ago)
• Topics: dynamics, euler-lagrange-dynamics, lagrangian, maple, mechanics
• Homepage:
• Size: 43.5 MB
• Stars: 3
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
## Collection of problems in Mechanics solved with Lagrangian in Maple

Some problems are taken from David Morin's book: https://scholar.harvard.edu/files/david-morin/files/cmchap6.pdf

Single pendulum

![](https://github.com/auralius/lagrangian/blob/master/docs/problem1.gif)

Double pendulum

![](https://github.com/auralius/lagrangian/blob/master/docs/problem2.gif)

Mass on a moving inclined plane

![](https://github.com/auralius/lagrangian/blob/master/docs/problem3.gif)

Single pendulum with a springy wire

![](https://github.com/auralius/lagrangian/blob/master/docs/problem4.gif)

Pendulum with an oscillating support

![](https://github.com/auralius/lagrangian/blob/master/docs/problem5.gif)

Two masses, one swinging

![](https://github.com/auralius/lagrangian/blob/master/docs/problem6.gif)

Standing slider and crank under gravitational force

![](https://github.com/auralius/lagrangian/blob/master/docs/problem7.gif)

Slider and crank, a spring is added in the slider, along the horizontal axis

![](https://github.com/auralius/lagrangian/blob/master/docs/problem8.gif)

Rotating unbalance

![](https://github.com/auralius/lagrangian/blob/master/docs/problem10.gif)

Rotating unbalace with a spring

![](https://github.com/auralius/lagrangian/blob/master/docs/problem11.gif)

Reaction wheel pendulum

![](https://github.com/auralius/lagrangian/blob/master/docs/problem12.gif)

Flyball speed governor

![](https://github.com/auralius/lagrangian/blob/master/docs/problem13a.gif)

![](https://github.com/auralius/lagrangian/blob/master/docs/problem13b.gif)

Sucker rod pump

![](https://github.com/auralius/lagrangian/blob/master/docs/problem14.gif)