Two point masses and are joint together by a rigid light rod of lenth . If the rod move on a vertical plane under the action of the earth's gravitational field only, show that the path of the center of mass is a parabola and the rod rotates about the center of mass at a uniform angular velocity.
The given information I have is:
Prove that is cyclic.
To do this, the first step is to find and and use them to find the Euler-Lagrangian equation.
I hope that's a little more specific. I just need help finding .