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Oblique Bounce of a Rubber Ball

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Abstract

Measurements are presented on the oblique impact of a hollow rubber ball incident on a polished granite surface, and the results are compared with those for a solid rubber superball. The hollow ball had a much higher coefficient of sliding friction than the superball, resulting in significant differences in all bounce parameters, at all angles of incidence. The hollow ball gripped the surface at all observed angles of incidence, resulting in one or two reversals in the direction of the friction force during the impact. The friction force was measured directly, as was the rotation speed of the ball during the impact. The results show that the tangential coefficient of restitution of a ball depends on both the coefficient of sliding friction and the ratio of the tangential to the normal vibration frequency of the ball.

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References

  1. Foerster S, Louge M, Chang H, Allia K (1994) Phys Fluids 6:1108–1115

    Article  Google Scholar 

  2. Kharaz A, Gorham D, Salman A (2001) An experimental study of the elastic rebound of spheres. Powder Technol 120:281–291

    Article  Google Scholar 

  3. Cross R (2002) Grip-slip behavior of a bouncing ball. Am J Phys 70(11):1093–1102

    Article  MathSciNet  Google Scholar 

  4. Smith L, Duris J (2009) Progress and challenges in numerically modeling solid sports balls with applications to softballs. J Sports Sci 27(4):353–360

    Article  Google Scholar 

  5. Ranga D, Strangwood M (2010) Finite element modelling of the quasi-static and dynamic behaviour of a solid sports ball based on component material properties. Procedia Eng 2:3287– 3292

    Article  Google Scholar 

  6. Rezaei A, Verhelst R, Van Paepegem W, Degriecka J (2011) Finite element modelling and experimental study of oblique soccer ball bounce. J Sports Sc 29(11):1201–1213

    Article  Google Scholar 

  7. Carre MJ, James DM, Haake SJ (2004) Impact of a non-homogeneous sphere on a rigid surface. Proc Instn Mech Eng Part C: J Mech Eng Sci 218(3):273–281

    Article  Google Scholar 

  8. Goodwill SR, Haake SJ (2004) Modelling of tennis ball impacts on a rigid surface, In: Proceedings Instn Mech Eng Part C: J Mech Eng Sci, Vol 218, pp 1139–1153

  9. Goodwill SR, Kirk R, Haake SJ (2005) Experimental and finite element analysis of a tennis ball impact on a rigid surface. Sports Eng 8:145–158

    Article  Google Scholar 

  10. Haake SJ, Carre MJ, Kirk R, Goodwill SR (2005) Oblique impact of thick walled pressurized spheres as used in tennis. Proc Instn Mech Eng Part C: J Mech Eng Sci 219(11):1179–1189

    Article  Google Scholar 

  11. Tanaka K, Sato F, Oodaira H, Teranishi Y, Sato F, Ujihashi S (2006) Construction of the Finite-Element Models of Golf Balls and Simulations of Their Collisions, In: Proceedings IMechE Vol. 220 Part L: J. Materials: Design and Applications, 220, pp 13– 22

  12. Tanaka K, Matsuoka K, Fujita S, Teranishi Y, Ujihashi S (2012) Construction of a finite element model for collisions of a golf ball with a club during swing. Proc. Instit. Mech. Eng., Part P: Jnl of Sports Eng and Tech 226 (2):96–106

    Google Scholar 

  13. Maw N, Barber JR, Fawcett JN (1981) The role of elastic tangential compliance in oblique impact. Jnl Lubr Technol 103:74–80

    Google Scholar 

  14. Labous L, Rosato A, Dave R (1997) Measurements of collisional properties of spheres using high-speed video analysis. Phys Rev E 56(5):5717–5725

    Article  Google Scholar 

  15. Lorenz A, Tuozzolo C, Louge M (1997) Measurement of impact properties of small, nearly spherical particles. Exp Mech 37(3):292–298

    Article  Google Scholar 

  16. Cross R (2002) Measurements of the horizontal coefficient of restitution for a superball and a tennis ball. Am J Phys 70(5):482–489

    Article  Google Scholar 

  17. Garland P, Rogers R (2009) An experimental study of contact forces during oblique elastic impact. J App Mech 76:031–015

    Article  Google Scholar 

  18. Cross R (2003) Measurements of the horizontal and vertical speeds of tennis courts. Sports Eng 6:93–109

    Google Scholar 

  19. Maw N, Barber JR, Fawcett JN (1976) The oblique impact of elastic spheres. Wear 38(1):101–114

    Article  Google Scholar 

  20. Garwin R (1969) Kinematics of an ultraelastic rough ball. Am J Phys 37(1):88–92

    Article  Google Scholar 

  21. Cross R (1999) Impact behavior of hollow balls. Am J Phys 82(3):189–195

    Article  Google Scholar 

  22. Cross R (2008) Differences between bouncing balls, springs, and rods. Am J Phys 76(10):908–915

    Article  Google Scholar 

  23. Kuninaka H, Hayakawa H (2004) Anomalous behavior of the coefficient of normal restitution in oblique impact. Phys Rev Letts 93(15):154301-1-4

    Article  Google Scholar 

  24. Louge M, Adams M (2002) Anomalous behavior of normal kinematic restitution in the oblique impacts of a hard sphere on an elastoplastic plate. Phys Rev E 65:021303-1-6

    Article  Google Scholar 

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Correspondence to Rod Cross.

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Cross, R. Oblique Bounce of a Rubber Ball. Exp Mech 54, 1523–1536 (2014). https://doi.org/10.1007/s11340-014-9938-3

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  • DOI: https://doi.org/10.1007/s11340-014-9938-3

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