Can anyone show me how to find r(dot) of the following vector?
r = <x,y> + (lm)/(m+n)<cos(theta),sin(theta)>
Sorry about that. Here is the complete question:
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:
and
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 .
Thanks!