Damped Pendulum Example

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Damped Pendulum Example

The motion of a damped pendulum (i.e., a pendulum with friction slowing it) is described by a periodic function (cosine) whose amplitude decreases as time increases in proportion to a negative exponential function. The initial trial values for the parameters are specified on the Parameter statements.

Title "Damped pendulum motion";
Variables Time,X;
Parameter A = 90;
Parameter alpha = .0008;
Parameter w = .005;
Parameter beta = 125;
Parameter Phase = 0;
Function X = A*exp(-alpha*Time)*cos(w*(Time-Phase))+beta;
Plot;
Data;
[ data goes here ]