The document Cyclic Coordinates - Lagrangian and Hamiltonian Equations, Classical Mechanics, CSIR-NET Physical Sc Physics Notes | EduRev is a part of the Physics Course Physics for IIT JAM, UGC - NET, CSIR NET.

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**Lagrangian mechanics: **

**Lagrangian: **

Cyclic coordinate

Conserved quantity:

Eliminateas independent variable.

Do not substitute into Lagrangian.

Substitute into Routhian instead.

Routhian:

Equations of motion:

Supplement:

**Hamiltonian mechanics: **

Hamiltonian:

Cyclic coordinate

Conserved quantity:

Reduced Hamiltonian:

Angular frequency:

Equations of motion:

Supplement:

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