Chapter 3: Problem 5
The dynamics of a system with \(n\) degrees of freedom are governed by a Lagrangian \(L(q, v, t)\). Show that if \(f(q, t)\) is any function on \(C T\), then $$ L^{\prime}=L+\frac{\partial f}{\partial q_{a}} v_{a}+\frac{\partial f}{\partial t} $$ generates the same dynamics.
Short Answer
Step by step solution
Key Concepts
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