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A novel coupled oscillation demonstration

 

作者: Frank G. Karioris,   Kenneth S. Mendelson,  

 

期刊: American Journal of Physics  (AIP Available online 1992)
卷期: Volume 60, issue 6  

页码: 508-513

 

ISSN:0002-9505

 

年代: 1992

 

DOI:10.1119/1.16864

 

出版商: American Association of Physics Teachers

 

关键词: OSCILLATIONS;COUPLED MODES;HARMONIC OSCILLATORS;RODS;SPRINGS;CLASSICAL MECHANICS;NORMAL−MODE ANALYSIS;VIBRATIONAL STATES;ROTATIONAL STATES;FREQUENCY ANALYSIS;EQUILIBRIUM

 

数据来源: AIP

 

摘要:

It is shown that a rigid rod, suspended horizontally by two springs, may be used to demonstrate all of the principal features of coupled harmonic oscillations. This simple system is easy to set up and analyze and has some interesting features not possessed by other coupled oscillation demonstrations. The coupling between translational motion of the center of mass (c.m.) and rotational motion about the c.m. can be easily adjusted by changing the springs and their points of attachment to the rod. The normal modes have simple interpretations as pure rotations about points away from the c.m. With proper choice of the parameters these points are located at the points of attachment of the springs. Surprisingly it is possible to measure normal mode frequencies without exciting pure normal mode motion.

 

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