Motion of a Swinging Atwood’s Machine: Simulation and Analysis with Mathematica

1. Atwood, G.: A Treatisa on the Rectilinear Motion and Rotation of Bodies. Cambridge University Press, Cambridge (1784)

   Google Scholar 

2. Tufillaro, N.B., Abbott, T.A., Griffiths, D.J.: Swinging Atwood’s machine. Am. J. Phys. 52, 895–903 (1984)

   Article  Google Scholar 

3. Tufillaro, N.B.: Motions of a swinging Atwood’s machine. J. Phys. 46, 1495–1500 (1985)

   Article  MathSciNet  Google Scholar 

4. Tufillaro, N.B.: Integrable motion of a swinging Atwood’s machine. Am. J. Phys. 54, 142–143 (1986)

   Article  Google Scholar 

5. Casasayas, J., Nunes, T.A., Tufillaro, N.B.: Swinging Atwood’s machine: integrability and dynamics. J. Phys. 51, 1693–1702 (1990)

   Article  MathSciNet  Google Scholar 

6. Yehia, H.M.: On the integrability of the motion of a heavy particle on a tilted cone and the swinging Atwood’s machine. Mech. Res. Commun. 33(5), 711–716 (2006)

   Article  MathSciNet  MATH  Google Scholar 

7. Pujol, O., Pérez, J.P., Ramis, J.P., Simo, C., Simon, S., Weil, J.A.: Swinging Atwood machine: experimental and numerical results, and a theoretical study. Phys. D 239(12), 1067–1081 (2010)

   Article  MathSciNet  MATH  Google Scholar 

8. Zeleny, E.: Swinging Atwood’s machine. http://demonstrations.wolfram.com/SwingingAtwoodsMachine/ (2013). March 13, 2013

9. Wolfram, S.: The Mathematica Book, 5th edn. Wolfram Media, Champaign (2003)

   MATH  Google Scholar 

10. Goldstein, H., Poole, C., Safko, J.: Classical Mechanics, 3rd edn. Addison Wesley, Reading (2000)

    MATH  Google Scholar 

Download references