Rotation and vibration of 2 particle spring system

tom131
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Homework Statement



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Homework Equations

The Attempt at a Solution



Is it possible to solve this problem without using Hamiltonian Mechanics (just by Newtonian). My instructor expects use to solve this problem without any knowledge of any advanced classical mechanics. I tried to solve this problem using conservation of rotational momentum and conservation of energy. As the question suggests, I set my equation for kinetic energy in terms of cylindrical coordinate variables. Then I ended up with a very complicated equation with multi -variables and high order derivatives. I'm so confused .. I have been working on this one problem for like three hours, and I don't see any progress. I looked up online to see questions similar to this, but they all use Hamiltonian Mechanics, which my instructor never covered.[/B]
 
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