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I spent a long time trying to solve this however I still don't have an answer. The prof who gave me the question said that I should think of it like Newtonian mechanics and then solve it with relativity. I'm assuming that means $KE=I\omega^2/2$. I and omega depend on R, which changes due to length contraction. I tried 3 different thing and got 3 different answers. One of them was 0, the other 1/2mv^4 and infinity.

MaC
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