Hearing the shape of a rod by the sound of its collision

American Journal of Physics

Volumn 66, Issue 8, 1998, Pages 692-697

  Mascarenhas, Francesca M F ^a   Spillmann, C M ^a   Lindner, John F ^a   Jacobs, D T ^a  

^a 931 College Mall   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032366838     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18934     Document Type: Article

References (13)

1. Classic 19th century references include the following: B. Saint-Venant, "The longitudinal impact of two bars" (in French), Liouv. J. Math. 12, 237-377 (1867); L. Boltzmann, "Experiments on the impact of cylinders" (in German), Wien. Ber. 84, 1225-1229 (1881); H. Hertz, "The contact of solid elastic bodies" (in German), Crelles J. 92, 156-172 (1882).
2. Classic 19th century references include the following: B. Saint-Venant, "The longitudinal impact of two bars" (in French), Liouv. J. Math. 12, 237-377 (1867); L. Boltzmann, "Experiments on the impact of cylinders" (in German), Wien. Ber. 84, 1225-1229 (1881); H. Hertz, "The contact of solid elastic bodies" (in German), Crelles J. 92, 156-172 (1882).
3. Classic 19th century references include the following: B. Saint-Venant, "The longitudinal impact of two bars" (in French), Liouv. J. Math. 12, 237-377 (1867); L. Boltzmann, "Experiments on the impact of cylinders" (in German), Wien. Ber. 84, 1225-1229 (1881); H. Hertz, "The contact of solid elastic bodies" (in German), Crelles J. 92, 156-172 (1882).
4. J. W. S. Rayleigh, The Theory of Sound (Dover, New York, 1945), Vol. 1, Chaps. 7-8.
5. J. F. Ball, in Handbuch der Physik, edited by S. Flügge (Springer, New York, 1973), Vol. VI a 11, pp. 313-331.
6. W. G. B. Britton, J. J. Fendley, and M. E. Michael, "Longitudinal impact of rods: A continuing experiment," Am. J. Phys. 46, 1124-1130 (1978).
7. D. Auerbach, "Colliding rods: Dynamics and relevance to colliding balls," Am. J. Phys. 62, 522-525 (1993).
8. Our analysis is based on E. Kinsler, A. B. Coppens, A. R. Frey, and J. V. Sanders, Fundamentals of Acoustics (Wiley, New York, 1982), 3rd ed., Chap. 3.
9. G. Vandegrift, "Transverse bending waves and the breaking broomstick demonstration," Am. J. Phys. 65, 505-510 (1997).
10. The general expression for curvature is derived in most introductory cal culus texts, such as E. W. Swokowski, M. Olinick, D. Pence, and J. A. Cole, Calculus (PWS, Boston, 1994), 6th ed., Sec. 11.4.
11. T. D. Rossing and N. H. Fletcher, Principles of Vibration and Sound (Springer-Verlag, New York, 1997), Sec. 2.17.
12. 2, consult F. S. Crawford, Jr., Waves (McGraw-Hill, New York, 1968), Sec. 1.2.
13. CRC Handbook of Chemistry and Physics, edited by D. R. Lide and H. P. R. Frederikse (CRC, Boca Raton, FL, 1996), pp. 14-36.