- Sections
- A. General Materials & Mathematics
- B. Statics
- C. Kinematics & Dynamics
- D. Rotational Mechanics
- E. Gravitation & Astronomy
- F. Fluid Mechanics
- G. Vibrations & Mechanical Waves
- H. Sound
- I. Thermodynamics
- J. Electrostatics & Magnetostatics
- K. Electromagnetic Principles
- L. Geometrical Optics
- M. Wave Optics
- N. Spectra & Color
- O. Vision
- P. Modern Physics
Lissajous Figures - Sand Pendulum
Purpose
To demonstrate Lissajous figures.◙
Equipment
Pendulum on heavy stand, platform and black paper, fine sand.◙
Setup Time
10 min.
Images
Description
The bob is filled with sand, displaced from equilibrium and released or gently pushed. Its bifilar suspension causes it to execute Lissajous figures, which are traced out by the released sand.◙
References
Luiz Borello, New Method for Demonstrating the Addition of the Isochronous and Perpendicular Vibratory Motions, AJP 15,◙93-94, (1947). ◙R. H. Romer, A Double Pendulum "Art Machine," AJP 38, 1116-1121 (1970). ◙Chris Chiaverina, A Laser Spirograph for Under $3, TPT 28, 606 (1990). ◙Robert J. Whitaker, A note on the Blackburn pendulum, AJP 59, 330-333 (1991). ◙K. David Pinkerton, Laser Light Fantastic Lissajous Figures, TPT 29, 168-169 (1991). ◙O. Herrera, Mechanical Device to Draw Lissajous Figures, TPT 29, 284-285 (1991). ◙Thomas B. Greenslade, Jr., All about Lissajous Figures, TPT 31, 364-370
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See pagesg1. simple harmonic motion
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See pagesg2. resonance & coupled oscillations
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See pagesg3. mechanical waves one dimensional
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See pagesg4. mechanical waves two dimensional
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See pagesg1. simple harmonic motion
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See pagesg2. resonance & coupled oscillations
-
See pagesg3. mechanical waves one dimensional
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See pagesg4. mechanical waves two dimensional