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Geometric Nature of Lagrange's Equations

 

作者: Brian Lee Beers,  

 

期刊: American Journal of Physics  （AIP Available online 1972）
卷期: Volume 40, issue 11  

页码: 1636-1640

 

ISSN:0002-9505

 

年代: 1972

 

DOI:10.1119/1.1987001

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

It is shown that Lagrange's equations may be obtained by projecting Newton's second law onto the moving tangent vectors associated with a change in the generalized coordinates qi. This exposes the Lagrange equation for qi as the component of the force equation in the indicated direction.

 

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