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Classical Mechanics 420

Classical Mechanics 420. J. D. Gunton Lewis Lab 418 jdg4@lehigh.edu. D’Alembert’s Principle and Lagrange Equations. Use principle of virtual work to derive Lagrange equations for systems with holonomic constraints. Don’t ever give up!. Physics Student. PhD Program.

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Classical Mechanics 420

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  1. Classical Mechanics 420 J. D. Gunton Lewis Lab 418 jdg4@lehigh.edu

  2. D’Alembert’s Principle and Lagrange Equations • Use principle of virtual work to derive • Lagrange equations for systems with holonomic constraints

  3. Don’t ever give up! Physics Student PhD Program

  4. Homework Set 1 Number 2

  5. Double Pendulum: General Coordinates

  6. Constrained motion Bead slides without friction on a vertical circular loop, in a uniform Gravitational field. Hoop rotates at a constant angular velocity.

  7. Vertical Disk Rolling On Plane

  8. Velocity dependent potentials: if forces derived from U via

  9. Charged particle in electromagnetic field • Lorentz force F=q[E+(v x B)]

  10. Polar Coordinates

  11. Atwood’s Machine V= -M1g x – M2 g(l-x)

  12. Bead sliding on rotating straight wire, g=0

  13. Constrained motion Bead slides without friction on a vertical circular loop, in a uniform Gravitational field. Hoop rotates at a constant angular velocity.

  14. Problem to think about

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