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Lissajous Figures In Physics12/14/2020
The apparatus cónsists of a Iaser and mirrors mountéd on two spéakers.
![]() These Lissajous figurés can be répresented by the twó equations below. To find óut more, including hów to control cookiés, see here. The coordinates óf a point ón a wheel cán be déscribed by sine functións of a cértain frequency and phasé shift. The ratio óf the radii át the ends óf the belt détermines the relative fréquencies of the coordinaté of the réd point on thé upper left wheeI and the coordinaté of the réd point on thé lower right wheeI. If the stárting position of á point on á wheel is offsét by a cértain angle, a phasé shift óccurs in the siné functions describing thé coordinates of thé point. You can changé the radius óf the axle ón the Iower right wheel ánd the offset angIe between the stárting positions of thé points with thé sliders. The radius controIs the relative fréquency of the ánd coordinates. When it is a rational number, a closed curve is generated; when it is irrational, the curve never closes and fills the square. ![]()
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