Classical Mechanics 420 J. D. Gunton Lewis Lab 418

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Presentation transcript:

Classical Mechanics 420 J. D. Gunton Lewis Lab 418

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

Homework Set 1 Number 2

Double Pendulum: General Coordinates

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

Vertical Disk Rolling On Plane

Velocity dependent potentials: if forces derived from U via

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

Polar Coordinates

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

Bead sliding on rotating straight wire, g=0

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

Problem to think about