Find the Lagrangian for a simple pendulum of mass m whose point of support moves uniformly on a vertical circle with constant frequency [itex]\omega[/itex] in a uniform gravitational field. Let 'l' be the length of the pendulum string. Using plane polar coordinates: Let T be the KE of the pendulum. [tex]T = {1\over 2}m \left(\dot {r}^2 + r^2\dot{\theta}^2\right)[/tex] Let V be the PE. [tex]V = -mgr\cos \theta[/tex] r = l = constant I am wondering how to add the angular velocity [itex]\omega[/itex] to the equation of motion. Need help here.
As with your other problem, You need to pick a pair of coordinates. A pair of angles looks good here also.