Circular Motion

• x(t) = cos(a*t)
• y(t) = sin(b*t)

Question #2

• In Maple, vary a and b using the command
  ParamPlot([cos(a*t), sin(b*t)], t = -Pi..Pi);
  to obtain Lissajous curves. Sketch the curves in your lab report and indicate the direction they were drawn.
  • a := 1; b := -1;
  • a := 3; b := 4;
  • a := Pi; b := 4;
• How does the last curve differ from the earlier ones? Use Maple commands like
  plot([cos(Pi*t), sin(t), t= 0 ..100]);
  to explore the long-term behavior of this curve. What will the curve look like as t approaches infinity?