The kinematics of a superball bouncing between two vertical surfaces

American Journal of Physics

Volumn 72, Issue 7, 2004, Pages 875-883

  Hefner, Brian T ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042852120     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1701843     Document Type: Article

References (15)

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2. R. L. Garwin, "Kinematics of the ultraelastic rough ball," Am. J. Phys. 37, 88-92 (1969).
3. R. Cross, "Measurements of the horizontal coefficient of restitution for a superball and a tennis ball," Am. J. Phys. 70, 482-489 (2002).
4. H. Brody, "That's how the ball bounces," Phys. Teach. 22, 494-497 (1984).
5. N. Maw, J. R. Barber, and J. R. Fawcett, "The oblique impact of elastic spheres," Wear 1, 101-114 (1976).
6. N. Maw, J. R. Barber, and J. R. Fawcett, "The role of tangential compliance in oblique impacts," Trans. ASME, J. Lub. Tech. 20, 327-344 (1981).
7. R. Cross, "Grip-slip behavior of a bouncing ball," Am. J. Phys. 70, 1093-1102 (2002).
8. J. T. Jenkins and M. W. Richman, "Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks," Phys. Fluids 28, 3485-3494 (1985).
9. S. McNamara and S. Luding, "Energy nonequipartition in systems of inelastic, rough spheres," Phys. Rev. E 58, 2247-2250 (1998).
10. K. L. Johnson, "The bounce of a 'superball,' " Int. J. Mech. Eng. Ed. 11, 57-63 (1983).
11. It is interesting to note that the equations of motion for a ball with a tangential coefficient of restitution were originally presented nearly thirty years before the invention of the superball and Garwin's analysis. See W. Goldsmith, Impact (Dover, New York, 2001), pp. 18-19.
12. J. Duran, Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials (Springer, New York, 2000).
13. S. Luding, "Granular materials under vibration: Simulations of rotating spheres," Phys. Rev. E 52, 4442-4457 (1995).
14. F. S. Crawford, "Superball and time-reversal invariance," Am. J. Phys. 50, 856 (1981).
15. F. S. Crawford, "A theorem on elastic collisions between ideal rigid bodies," Am. J. Phys. 57, 121-125 (1987).