Kinesiology, Vol. 17. No. 1., 1985.
Original scientific paper
The mathematical model of horizontal trajectory of body flight
Pavle Opavsky
; Fakultet za fizičko vaspitanje univerziteta u Beogradu
Abstract
The study establishes the quantitative relations between the run-up and the distance of body's gravity center from the jump-off center at the moment of separation of the grounded. While the point of contract of the body with the ground is falling ahead of the projection of body's gravity center, certain amount of running speed acts in the vertical direction so that the height of the jump is determined not only by the take off and arm swing, cet also by the prior run. This part of the speed of run which is thereby the prior run. This part of the spobud if the attack angle is equal half the right angle. On the other hand, the closer the attack angle with standard distance between the center of gravity is at the moment of jump. In order to calculate the existing quantitative relations among relevant parameters of horizontal trajectory of body flight an appropriate computer program was done. On the basis of computer results, quantitative relations were established between the speed of run an the attack angle with standard distance between the center of gravity and the point of support. The study gives concrete values of the attack angle for each speed of run in the actual range. Generally speaking, value of the attack angle gravities towards the value of the right angle if the speed of run decreases, it gravitates toward half the right angle if the speed of run increases.
Keywords
high jump: run-up, speed of run; pushing off, angle of attack; biomechanical analysis; mathematical
Hrčak ID:
256287
URI
Publication date:
4.4.1985.
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