Christopher G. Provatidis
Based on previously published measurements and simulations, this paper discusses biomechanical issues related to the performance of standing long jump. Using a two-dimensional five segment link model for the same velocity of the center of gravity at take-off, and assuming different but standard shape geometries at take-off and landing, it is numerically shown that the use of halteres progressively increases the jumping distance. Moreover, for a given body shape at landing, a graphical method is proposed to determine the particular position of the arms at landing for which a slight further increase of 1 up to 2 cm in the length of jump is achieved. The main idea of this paper can be easily incorporated into more advanced third party biomechanical models in which full dynamics and control of the long jump is considered.
Biomechanics, Standing long jump, Halteres, Computer-Aided-Sports
1. Ward-Smith, A. J. (1995). The application of modern methods of biomechanics to the evaluation of jumping performance in ancient Greece. Journal of Sports Sciences, 13, 223–228.
2. Provatidis, C. G. (2013). Simplified biomechanics for a possible explanation of the ancient Greek long jump using halters. Universal Journal of Engineering Science, 1(1), 5-16.
3. Lenoir, M., De Clercq, D., & Laporte, W. (2005). The “how” and “why” of the ancient Greek long jump with weights: A five-fold symmetric jump in a row? Journal of Sports Sciences, 23, 1033-1043.
4. Barney, R. K. (1976). The ancient Greek pentathlon jump: A preliminary reinterpretive examination. In Proceedings of the International Congress on Physical Activity Sciences (pp. 279 – 288). Quebec: International Congress on Physical Activity Sciences.
5. Ebert, J. (1963). Der Pentathlonsprung. Abh. Sochs. Akad. Wiss.Philo-Hisot. Klasse, 56, 35 – 65.
6. Gardiner, E. N. (1904). Phayllos and his record jump. Journal of Hellenic Studies, 24, 70 – 80.
7. Gardiner, E. N. (1904). Further notes on the Greek jump. Journal of Hellenic Studies, 24, 179 – 194.
8. Howland, R. L. (1950). Phayllos and the long jump record. Proceedings of the Cambridge Philological Society, 181, 31.
9. Hyde, W. W. (1938). The pentathlon jump. American Journal of Philology, 236, 405-418.
10. Minetti, A. E., & Ardigó, L. P. (2002). Halteres used in ancient Olympic long jump. Nature, 420, 141 – 142.
11. Papadopoulos, C., Noussios, G., Manopoulos, E., Kiritsi, O., Ntones, G., Gantiraga, E., & Gissis, I. (2011) Standing long jump and handheld halters; is jumping performance improved? Journal of Human Sport & Exercise, 6, 436-443.
12. Ashby, B. M., Delp, S. L. (2006). Optimal control simulations reveal mechanisms by which arm movement improves standing long jump performance. Journal of Biomechanics, 39(9), 1726-1734.
13. Clauser, C. E., McConville, J. T. & Young, J. W., Weight, Volume and Center of Mass of Segments of the Human Body, AMRL-TR-69-70, Aerospace Medical Research Laboratory, Wright-Patterson Air Force Base, Ohio, 1969.
14. Resnick, R., Halliday, D., Physics, John Wiley and Sons, New York, 1966.
15. Wakai, M., Linthorne, N. P. (2005). Optimum take-off angle in the standing long jump, Human Movement Science, 24(1), 81–96.
16. Ashby, B. M., Heegaard, J. H. (2002). Role of arm motion in the standing long jump. Journal of Biomechanics, 35(12), 1631-1637.
17. Aguardo, X., Izquierdo, M., Montesinos, J.L. (1997). Kinematic and kinetic factors related to the standing long jump performance. Journal of Human Movement Studies, 32, 157–169.
18. Provatidis, C. G. (2010). Some issues on inertia propulsion mechanisms using two contra-rotating masses, Theory of Mechanisms and Machines, 8, 34-41.
19. Provatidis, C. G. (2011). A Study of the Mechanics of an Oscillating Mechanism, International Journal of Mechanics, 5, 263-274.
20. Provatidis, C. G. (2013a). An overview of the mechanics of oscillating mechanisms, American Journal of Mechanical Engineering, 1 (3), 58-65.
CHRISTOPHER G. PROVATIDIS
School of Mechanical Engineering, Division of Mechanical Design and Control Systems, Zografou Campus, 9 Iroon Polytecneiou Str, 15780 Zografou, Greece