# Lagrangians in generalized coordinates

The function takes a coordinate path; the function takes a configuration path.

# Computing Actions

makes a procedure that represents a function of one argument that has no known properties other than the given symbolic name.

The method of computing the action from the coordinate representation of a Lagrangian and a coordinate path does not depend on the coordinate system.

# Exercise 1.4. Lagrangian actions

For a free particle an appropriate Lagrangian is

Suppose that is the constant-velocity straight-line path of a free particle, such that and . Show that the action on the solution path is

— Structure and Interpretation of Classical Mechanics

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— Me@2006-2008

— Me@2019-03-10 11:08:29 PM

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2019.03.10 Sunday (c) All rights reserved by ACHK