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Lagrangian equations

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See attached file for full problem description.

A particle moves in a plane under the influence of a force f = -Ar^(alpha -1) directed toward the origin.
choose appropriate generalized coordinates, and let the potential energy be zero at the origin.

Find the Lagrangian equations of motion.

Is the angular momentum about the origin conserved?

Is the total energy conserved?

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Solution Summary

It shows how to find the Lagrangian equations of the motion of a particle, which moves in a plane under the influence of a force. It also discusses if the angular momentum and total energy are conserved or not. The solution is detailed and has a '5/5' rating.

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