       Phase Plot of Simple Harmonic Motion using Mathematica ??

• To: mathgroup at smc.vnet.net
• Subject: [mg126502] Phase Plot of Simple Harmonic Motion using Mathematica ??
• From: Rahul Chakraborty <rahul.6sept at gmail.com>
• Date: Tue, 15 May 2012 04:54:39 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

```Hi all,

Plz check my code below for Phase plot of Simple Harmonic motion. The output should be a circle with x along X-axis and dxdt along y-axis.

I'm not getting the output. kindly let me know where i'm wrong.

Clear[k, m];
k = 1;
m = 3;
solution =
NDSolve[{x''[t] + k/m x[t] == 0, x == 5, x' == 0},
x, {t, 0, 250}, MaxSteps \[RightArrow] 50000,
WorkingPrecision \[RightArrow] 25]
ParametricPlot[Evaluate[{x[t], x'[t]} /. solution], {t, 0, 100},
PlotRange \[RightArrow] All,
AxesLabel -> {"x", "\!\(\*OverscriptBox[\(x\), \(.\)]\)"}]

Following are the errors:

1)NDSolve::dvlen: The function x[t] does not have the same number of arguments as independent variables (3). >>

2)ReplaceAll::reps: {NDSolve[{x[t]/3+(x^\[Prime]\[Prime])[t]==0,x==5,(x^\[Prime])==0},x,{t,0,250},MaxSteps\[RightArrow]50000,WorkingPrecision\[RightArrow]25]} is neither a list of replacement rules nor a valid dispatch table, and so cannot be used for replacing. >>

3)ParametricPlot::pllim: Range specification PlotRange\[RightArrow]All is not of the form {x, xmin, xmax}. >>

Regards,

rc

```

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