Open Access

ABSTRACT

Problems of inverse kinematics regarding the success of the throw in basketball game

by Eugen Merticaru, Emil Budescu

The International Conference on Computational & Experimental Engineering and Sciences 2009, 11(1), 3-4. https://doi.org/10.3970/icces.2009.011.003

Abstract

The paper deals with the problem of motion of human upper limb so that to be ensured the success of the throw in basketball game. For the human upper limb there was considered the model of double pendulum. The classic equation of motion of the ball was correlated with the corresponding equation of motion for the upper limb, so that the ball to pass through the basket. It is well known that the trajectory of a thrown body is a parabola.
The equations of position and velocity of the hand are written and give the initial conditions for the fly of the ball.
Several conditions have to be fulfilled, in order the ball to pass through the basket,such as: the top of the ball’strajectory (parabola)should be higherthan the height of thebasket, thecentre of the basket shouldbe on thetrajectory of ball,the projection of the ball’s diameter, under the fallangle, on the diameter of the basket, should be smaller than the basket’s diameter.
Taking into account these conditions, the parameters of motion of human upper limb are determined, so that to be ensured the success of the throw in basketball game.
The paper can be useful to sportsmen, trainers and researchers in biomechanics in sports, to determine the optimum angles of arm and forearm, personalized for the anthropometrical dimensions of the sportsman, to ensure the success of throw of ball at the basket. Knowing these angles allows adjustingcorresponding mobile orthesis for the uppe rlimb, used during training, especially for practicing the throw of ball at the basket.

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