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msimmons
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Question:
A Particle of mass m can slide freely along a straight wire placed in the x-y plane whose perpendicular distance to the origin O is h. Denote the projection of O on the wire by on the wire by C. The line OC rotates around the origin (in the x-y plane) at a constant angular velocity [tex]\omega[/tex]. The particle is subject to a gravitational force acting down the y axis. Find the equation of motion.
I'm having a bit of trouble figuring out how to set up the Lagrangian. Can anyone perhaps give some insight on a way to think about the problem that could lead to the Lagrangian?
A Particle of mass m can slide freely along a straight wire placed in the x-y plane whose perpendicular distance to the origin O is h. Denote the projection of O on the wire by on the wire by C. The line OC rotates around the origin (in the x-y plane) at a constant angular velocity [tex]\omega[/tex]. The particle is subject to a gravitational force acting down the y axis. Find the equation of motion.
I'm having a bit of trouble figuring out how to set up the Lagrangian. Can anyone perhaps give some insight on a way to think about the problem that could lead to the Lagrangian?