{"id":22421935,"url":"https://github.com/auralius/lagrangian","last_synced_at":"2026-01-07T03:35:58.111Z","repository":{"id":148342449,"uuid":"312786613","full_name":"auralius/lagrangian","owner":"auralius","description":" Collection of problems in Mechanics solved with the Euler-Lagrange's method by using Maple","archived":false,"fork":false,"pushed_at":"2025-01-02T05:51:44.000Z","size":45640,"stargazers_count":3,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-02-01T10:27:09.986Z","etag":null,"topics":["dynamics","euler-lagrange-dynamics","lagrangian","maple","mechanics"],"latest_commit_sha":null,"homepage":"","language":null,"has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/auralius.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2020-11-14T09:39:54.000Z","updated_at":"2025-01-02T05:51:48.000Z","dependencies_parsed_at":"2025-02-01T10:34:38.061Z","dependency_job_id":null,"html_url":"https://github.com/auralius/lagrangian","commit_stats":{"total_commits":26,"total_committers":3,"mean_commits":8.666666666666666,"dds":0.2692307692307693,"last_synced_commit":"661b6e85f7c5ef7695ac95645aa50e72ca536888"},"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/auralius%2Flagrangian","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/auralius%2Flagrangian/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/auralius%2Flagrangian/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/auralius%2Flagrangian/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/auralius","download_url":"https://codeload.github.com/auralius/lagrangian/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":245786445,"owners_count":20671758,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["dynamics","euler-lagrange-dynamics","lagrangian","maple","mechanics"],"created_at":"2024-12-05T17:10:18.820Z","updated_at":"2026-01-07T03:35:58.084Z","avatar_url":"https://github.com/auralius.png","language":null,"funding_links":[],"categories":[],"sub_categories":[],"readme":"## Collection of problems in Mechanics solved with Lagrangian in Maple\n\nSome problems are taken from David Morin's book: https://scholar.harvard.edu/files/david-morin/files/cmchap6.pdf\n\nSingle pendulum\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem1.gif)\n\nDouble pendulum\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem2.gif)\n\nMass on a moving inclined plane\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem3.gif)\n\nSingle pendulum with a springy wire\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem4.gif)\n\nPendulum with an oscillating support\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem5.gif)\n\nTwo masses, one swinging\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem6.gif)\n\nStanding slider and crank under gravitational force\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem7.gif)\n\nSlider and crank, a spring is added in the slider, along the horizontal axis\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem8.gif)\n\nRotating unbalance\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem10.gif)\n\nRotating unbalace with a spring\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem11.gif)\n\n\nReaction wheel pendulum\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem12.gif)\n\nFlyball speed governor\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem13a.gif)\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem13b.gif)\n\n\nSucker rod pump\n\n![](https://github.com/auralius/lagrangian/blob/master/docs/problem14.gif)\n\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fauralius%2Flagrangian","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fauralius%2Flagrangian","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fauralius%2Flagrangian/lists"}