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May 16th, 2013, 03:20 PM   #1
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[Research problem] A line & a circle w/ relative velocities

Hey guys. So I've been tasked with this crazy problem It's a part of my undergrad research project, which involves the Earth passing through dark matter domain walls. But i'm trying to crank out the easier scenario in 2D first.
So imagine this:
We have a circle, say centered at the origin, that is rotating about its axis at some velocity w.
And a line, which is moving towards that circle at some velocity v.
How can you find the velocity and angle of the line relative to the circle, if we are given several times at which some points on the rotating circle touch the moving line? It's pretty easy with the circle being stationary, but having added the angular velocity, I'm stumped now
Any help is appreciated.
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