(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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?

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# Lagrangian for velocity dependent potential

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