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Unformatted text preview: r to obtain a single firstorder equation for . 2. A single particle moves in the xyplane, in a general central potential V ( r ). (a) Using Newtons 2 nd Law, write down the equations of motion for the particle in polar coordinates. (b) As in Problem 1(c), obtain firstorder equations for and . Show that the equations found in (a) follow from those in (b). (c) Obtain integral expressions for and . (d) Evaluate for the potential . 3. Mathematica problem: (a) Use the command ParametricPlot to plot a circle parameterized by . The option AspectRatio>Automatic may be useful. (b) Plot a trajectory for the solution found in 2(d)....
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 Fall '08
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 mechanics, Force, Mass

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