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.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Lagrangian for simple pendulum

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