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## Homework Statement

Show that if the potential in the Lagrangian contains-velocity dependent terms, the canonical momentum corresponding to the coordinate of rotation θ, is no longer the mechanical angular momentum but is given by:

p = L - Ʃn[itex]\bullet[/itex]r

_{i}x ∇

_{vi}U

## Homework Equations

## The Attempt at a Solution

Setting: L = T - V(qi,qi')

Lagranges equation must be satisfied***:

d/dt(∂L/∂qi') - ∂L/∂qi = 0

=>

d/dt(∂T/∂qi' - ∂V/∂qi') - ∂V/∂qi = 0

Am I on the right track?

I know I am supposed to use ∂ri/∂qi = nxr somewhere.

** Why is it that it MUST be satisfied?