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Lagrangian for simple pendulum 
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#1
Nov206, 05:08 AM

P: 777

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. 


#2
Nov206, 05:16 AM

P: 139

how is omega related to theta?



#3
Nov206, 08:53 AM

Sci Advisor
HW Helper
P: 3,033




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