Asynchronous variation and Lagrange,s equation

LEE Chern, XU Li-jia, ZHANG Xiao-ming, MAO Chang-ning, XIE Fang

doi:10.16854/j.cnki.1000-0712.210453

College Physics >

2022 , Vol. 41 >Issue 3: 16

DOI: https://doi.org/10.16854/j.cnki.1000-0712.210453

Asynchronous variation and Lagrange^,s equation

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1. College of Physical Science and Engineering Technology, Yichun College, Yichun, Jiangxi 336000, China;
2. Yichun No.3 High School, Yichun, Jiangxi 336000, China

Received date: 2021-09-12

Revised date: 2021-10-29

Online published: 2022-03-30

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Abstract

In the teaching of theoretical mechanics, Lagrange^,s equation is deduced based on the principle of least action, and the condition of isochronous variation is generally assumed. Here the Lagrange^,s equation is rederived under the condition of asynchronous variation and its physical meaning is explained.

Key words： asynchronous variation; Lagrange^,s equation; principle of least action

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LEE Chern, XU Li-jia, ZHANG Xiao-ming, MAO Chang-ning, XIE Fang . Asynchronous variation and Lagrange^,s equation[J]. College Physics, 2022 , 41(3) : 16 . DOI: 10.16854/j.cnki.1000-0712.210453

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