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Swinging Atwood’s Machine

 

作者: Nicholas B. Tufillaro,   Tyler A. Abbott,   David J. Griffiths,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 10  

页码: 895-903

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13791

 

出版商: American Association of Physics Teachers

 

关键词: DYNAMICAL SYSTEMS;NONLINEAR PROBLEMS;ORBITS;EQUATIONS OF MOTION;COMPUTERIZED SIMULATION

 

数据来源: AIP

 

摘要:

We  examine the motion of an Atwood’s Machine in which one of the masses is allowed to swing in a plane. Computer studies reveal a rich variety of trajectories. The orbits are classified (bounded, periodic, singular, and terminating), and formulas for the critical mass ratios are developed. Perturbative techniques yield good approximations to the computer‐generated trajectories. The model constitutes a simple example of a nonlinear dynamical system with two degrees of freedom.

 

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