Unformatted text preview: E is a constant of motion. Suppose that we have the initial conditions x (0) = R , and ˙ x (0) = 0 . Solve for x ( t ) . Hint: If you use the fact that E and G are constants of motion, you can solve for x ( t ) without having to solve any differential equation. (d) When will the particle reach the origin?...
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 Spring '08
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 Physics, mechanics, Derivative, initial conditions, Noether's theorem, explicit timedependence

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