Generalized coordinates - Rotating pendulum

1. Dec 4, 2012

assed

My question is kinda simple but it has been causing me some trouble for a while. In the problem of the pendulum rotating about an axis, why isn't the angle of rotation about the axis a generalized coordinate? The doubt appears when i try to write the hamiltonian for the system and i don't know if i include the term relative to that angle.
How thats related to the fact that the angular velocity is or not constant.
( The problem considered is of a simple pendulum, but with its axis of oscilation rotating)

Last edited: Dec 4, 2012
2. Dec 4, 2012

Staff: Mentor

What is the orientation of that axis? If rotation around it is not influenced by gravity, the coordinate is cyclic (I think this is what you are looking for?) and its time-derivative is conserved.