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References Chiacchio P., Chiaverini S. and Siciliano B. (1996): Direct and inverse kinematics for coordinated motion tasks of two - manipulator system. - Journ. of Dynamics Systems, Measurement, and Control., vol.118, No.4, pp.691-697. Craig J.J. (1989): Introduction to Robotics. - New York: Addison-Weseley Publ. Comp. charter 4. Jezierski E. (2006): Dynamics and Control of Robots. - Warsaw: WNT 2006, ch.2, (in Polish). Kozłowski K., Dutkiewicz P. and Wróblewski W. (2003): Modeling and Control of Robots. - Warsaw: PWN, ch 1, (in Polish). Nakamura Y. and Hanafusa

References Baillieul, J. (1985). Kinematic programming alternatives for redundant manipulators, Proceedings of the 1985 IEEE International Conference on Robotics and Automation, St. Louis, LO, USA , pp. 722-728. Chitour, Y. and and Sussmann, H. J. (1998). Motion planning using the continuation method, in J. Baillieul, S. S. Sastry and H. J. Sussmann (Eds), Essays on Mathematical Robotics , Springer-Verlag, New York, NY, pp. 91-125. Gelfand, I. M. and Fomin, S. V. (1963). Calculus of Variations , Prentice-Hall, Englewood Cliffs, NJ. Janiak, M. and Tchoń, K

References An, H.S., Lee, J.H., Lee, C., Seo, T. and Lee, J.W. (2017). Geometrical kinematic solution of serial spatial manipulators using screw theory, Mechanism and Machine Theory 116 : 404–418. An, H.S., Seo, T.W. and Lee, J.W. (2018). Generalized solution for a sub-problem of inverse kinematics based on product of exponential formula, Journal of Mechanical Science and Technology 32 (5): 2299–2307. Cariow, A., Cariowa, G. and Witczak, M. (2015). An FPGA-oriented fully parallel algorithm for multiplying dual quaternions, Measurement Automation Monitoring 61

techniques used for motion analysis. J Biomech , 1977; 10: 377-382 Robertson DGE, Dowling JJ. Design and responses of Butterworth and critically damped digital filters. J Electromyogr Kines , 2003; 13: 569-573 Sinclair J, Hobbs SJ, Edmundson CJ, Brooks D. Evaluation of kinematic methods of identifying foot strike and toe-off during running. Int J S Sci Eng , 2011; 5: 188-192 Sinclair J, Taylor PJ, Edmundson CJ, Brooks D, Hobbs SJ. The influence of footwear kinetic, kinematic and electromographical parameters on the energy requirements of steady state running. Mov S Sc

mathematical model of the kinematics of the examined transport system, which will be used to build a mathematical model describing the dynamics of that system or to build a control system based on kinematics alone. Kinematics can be described using the so-called classical methods based on building a velocity plan of specific characteristic formation points [ 6 ] or using the so-called Denavit–Hartenberg (DH) [ 7 ] notation, which is very often used to describe the kinematics of multimember systems and is widely used in robotics. This article presents the problem of beam

; 8: 30-34 Mizuno Y, Kumagai M, Mattessich SM, Elias JJ, Ramrattan N, Cosgarea AJ, Chao EY. Q-angle influences tibiofemoral and patellofemoral kinematics. J Orthop Res, 2001; 19: 834-840 Morris AM, Williams JM, Atwater AE, Wilmore JM. Age and sex differences in motor performance of 3 through 6 year old children. Res Q Exerc Sport, 1982; 53: 214-222 Piazza SJ, Okita N, Cavanagh PR. Accuracy of the functional method of hip joint center location: effects of limited motion and varied implementation. J Biomech, 2001; 34: 967-973 Piazza SJ, Erdemir A, Okita N, Cavanagh PR

References Chiaverini, S., Oriolo, G. and Walker, I. (2008). Kinematically redundant manipulators, in B. Siciliano and O. Khatib (Eds.), Handbook of Robotics, Springer, Berlin, pp. 245-268. Dixon, W.J. and Massey, F.J. (1969). Introduction to Statistical Analysis, McGraw-Hill, New York, NY. Duleba, I. and Karcz-Duleba, I. (2016). A suboptimal solution of repeatable inverse kinematics in robot manipulators with a free entry configuration, Proceedings of theMediterranean Conference on Control and Automation, Athens, Greece, pp. 563-568. Duleba, I. and Karcz

reconstruction using the direct linear transformation technique. J Biomech, 1994; 27: 493-500. Coleman SG, Rankin AJ. A three-dimensional examination of the planar nature of the golf swing. J Sports Sci, 2005; 23: 227-234. Figueiredo P, Vilas Boas JP, Maia J, Goncalves P, Fernandes RJ. Does the hip reflect the centre of mass swimming kinematics? Int J Sports Med, 2009; 30: 779-781. Gourgoulis V, Aggeloussis N, Kasimatis P, Vezos N, Boli A, Mavromatis G. Reconstruction accuracy in underwater three-dimensional kinematic analysis. J Sc Med Sport, 2008; 11: 90-95. Hopkins WG

factors may influence shooting effectiveness. However, the actual effect of physical fatigue on performance of basketball jump shots remains unclear because results of the available studies are contradictory. Several studies have shown that fatigue of the primary muscle involved in a motor task such as the vertical jump, leads to an increased activation of synergistic muscles not normally involved in the task ( Rodacki et al., 2002 ). Thus, if the main muscles involved in 3PS are fatigued, the kinematics of the shot should be modified. Fatigue could affect both the

durability. Obviously, one of the main criteria of the effective working capacity of screens is its ability to self-clean from the stuck material and to prevent blinding during the entire lifetime. To solve this problem, the self-cleaning effect is most fully manifested in screens with relative oscillations of a dynamically active sowing surface with its kinematic excitation through the screen body. On the basis of the analysis carried out, the study of the operational experience of different types of vibratory screens for charge and from practical information on the