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B.Sc Physics (H), Part - 1 Patna Science College, Patna University Patna Langrange Equation Dr. Aman Kumar Dept of Physics, Patna Science College, Patna- 5 Email : [email protected] Mobile No : 8709432967 Derivation of Lagrange's equation from D' Alembert’s principle:

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Page 1: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in

B.Sc Physics (H), Part - 1

Patna Science College, Patna University Patna

Langrange Equation

Dr. Aman Kumar

Dept of Physics, Patna Science College, Patna- 5

Email : [email protected]

Mobile No : 8709432967

Derivation of Lagrange's equation from D' Alembert’s principle:

http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 2: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in
http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 3: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in

This is Lagrange's equation of 2nd kind for the conservative holonomic system.

Cyclic or Ignorable Co-ordinates:

http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 4: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in
http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 5: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in
http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 6: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in

Gauge Function for Lagrangian:

http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 7: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in

Invariance of Lagrange's equations under Generalised Co-ordinate

transformations

http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 8: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in

Concept of Symmetry: Homogeneity and Isotropy:

http://cbs.wondershare.com/go.php?pid=5610&m=db
Page 9: B.Sc Physics (H), Part - 1 - patnasciencecollege.ac.in
http://cbs.wondershare.com/go.php?pid=5610&m=db

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