Chapter 2 AM: Lagrangian Mechanics

General Jawad Cheayto
Coordinates


Holonomic

Constraints

Non Holonomic



System of N particles




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3N Cartesian coordinates
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of
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Mechanics




Let E be a mechanical


system composed of Nparticles
subject toKeholononicconstraints

All constraints are holonomic
All applied forces actingon
the system are assumed
1 Subdivision
conservative of forces into
Constraintforces and appliedforces



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of
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Lagrangian equations


firstDerivation Variational

principle


Action
If E has s degrees
of
freedom it hasgeneralized
coordinates
q As

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configuration
qui ai at tests

and ends at a

configuration
gin qY at Tst
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force acting on the particle i
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