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Classical Mechanics 420 J. D. Gunton Lewis Lab 418

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Presentation on theme: "Classical Mechanics 420 J. D. Gunton Lewis Lab 418"— Presentation transcript:

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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