Lagrange’s differential equations
Differential equations of motion for the generalised coordinates can be obtained easily with the help of Lagrange’s central equation. The equations will be derived twice here. The first derivation will assume that the operations d and δ are not interchangeable, while the second one will assume that the operations are interchangeable. In the first case, i.e. if dδ ≠ δd, it is necessary to use Lagrange’s central equation.
KeywordsKinetic Energy Quadratic Form Covariant Component Holonomic Constraint Elementary Work
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