PIRA 3A80.00 LISSAJOUS FIGURES

DCS #DEMONSTRATIONREFERENCEABSTRACT
3A80.00Lissajous Figures
3A80.10Lissajous sand pendulumPIRA 1000
3A80.10Lissajous sand pendulum3A80.10A sand filled compound pendulum traces out a Lissajous pattern.
3A80.10sand track Lissajous figuresSn-2A compound pendulum drops sand out of the pendulum bob in a Lissajous pattern.
3A80.10Lissajous sand pendulumS-43A simple sand pendulum made by passing a bifilar suspension through an adjustable collar.
3A80.11Lissajous figures in sandSn-1A compound pendulum bob traces a Lissajous figure in sand.
3A80.13Blackburn pendulumAJP 59(4),330A historical note on Blackburn's role in the "Y suspended" pendulum. ref: AJP 49,452-4
3A80.15double pendulum "art machine"AJP 38(9),1116Design for a double pendulum machine that draws with a pen.
3A80.15Lissajous figures - double pendulum15-3.1Two adjustable physical pendula at right angles coupled to a pen. Diagram.
3A80.20Lissajous figures - scopePIRA 500
3A80.20Lissajous figures - scope3A80.20Two generators are fed into the x and y channels of a scope.
3A80.20Lissajous figures on the scopeSn-3Two oscillators generate Lissajous figures of the X and Y channels on an oscilloscope.
3A80.20Lissajous figures - scopeDisc 08-26Use two independent generators to show Lissajous figures on a scope.
3A80.21Lissajous figuresS-1eLissajous figures on a scope and three other methods in a reprint.
3A80.22Lissajous figures - scope15-3.3Two sine waves are produced by coupling a variable speed motor to one pot in each of two Wheatstone bridge circuits.
3A80.30Lissajous barS-8An oscillating one meter long bar with the width to length ratio a small integer will show a Lissajous pattern when clamped at one end and viewed from the other.
3A80.35Lissajous figure vibrationsS-44A rectangular cross section rod is mounted vertically and the top is bent over at right angles. When the protruding end is struck it will describe Lissajous patterns.
3A80.40Lissajous figures - laserPIRA 1000
3A80.40Lissajous figures - projectedS-45Use small mirrors on tuning forks to project a beam of light on the wall.
3A80.41Lissajous figures - projectedTPT 17(9),593Bounce a laser off a soap film excited by a audio speaker and a Lissajous figure can be projected onto a screen.
3A80.43Lissajous figures - harmonographS-46An elaborate apparatus made to reflect beams off mirrors - two oscillations in SHM and one that is the combination.
3A80.44Lissajous figures - projected15-3.2A sine wave of an integral number of periods is drawn on a clear cylinder. When projected on an overhead, any phase may be obtained by turning the cylinder
3A80.46Lissajous figures - mechanicalAJP 47(11),1014Chains, gears, etc., that allow control of amplitude, initial phase, and frequency of the two component vibrations.
3A80.50Lissajous figures - 3dS-48An elaborate setup that uses three motors to produce a spot of light on a card that is the result of three mutually perpendicular SHM's.
3A80.51Lissajous figures - 3dS-47A slit in a lantern projector is driven in SHM and the resulting light beam is projected onto a white pencil mounted on a disc rotated by a motor in the perpendicular direction.
3A80.60textbook correctionsAJP 52(7),657Most Lissajous figures illustrated in textbooks are wrong.
3A80.90characteristic triangle method15-3.4A Lissajous ellipse is drawn using the characteristic triangle method. Fully derived instructions.
3A80.91Lissajous coordinate systemSn-3A coordinate system with the grid proportional to the sines of 0, 30, 60, and 90 degrees is sketched on the board.

ReferenceDescription
M-1Sutton
Ma-1Freier & Anderson
M-1dHilton
8-2.8Meiners
1A12.01University of Minnesota Handbook
AJP 52(1),85American Journal of Physics
TPT 15(5),300The Physics Teacher
Disc 01-01The Video Encyclopedia of Physics Demonstrations

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