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|
.
Figures of Lissajous:
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The Figures of Lissajous are described as the
perpendicular superposition of two harmonic motions. If w1 is the
angular velocity of particle 1, w2 the angular velocity of
particle 2, and P is the relative phase difference at t=0, then the
plot that results is called Liss w1 - w2 - P. Here you will find some
basic Lissajous Figures drawn using the method described. |
Liss 1-1-0 |
Liss 1-1-180 |
Liss 1-1-270 |
Liss 1-1-30 |
|
Liss 1-1-45 |
Liss 1-1-60 |
Liss 1-1-90 |
Liss 1-2-45 |
|
Liss 2-1-0 |
Liss 2-1-45 |
Liss 2-1-90 |
Liss 3-2-45 |
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Liss 3-2-90 |
Liss 1-2-0 |
Liss 4-3-60 |
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Create you own Lissajous figures using the interactive Java applet Lissajous |
- Locus
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One end of a stick of fixed length slides along a
particular shape, keeping the rotation point fixed. The locus is the
set of points that determine the path of the other end of the stick.
The animations in the first row below, show the locus found in that
way for the underlined shapes. |
|
Circle |
Ellipse |
Square |
Triangle |
|
Cycloid |
Hypocycloid |
Cardioid |
Rolling Square |
|
SpiroGraph1(10-2-2) |
SpiroGraph2 (10-6-4.5) |
SpiroGraph3 (10-4-3 In) |
SpiroGraph4 (10-4-3 Out) |
