Uniform Horizontal Projectile Motion

• Autorzy: Martin Swaczyna , Petr Volný
• Języki publikacji: EN

Abstrakty

EN

In the paper we present the modification of the classical horizontal projectile motion in the homogeneous gravitational field called uniform horizontal projectile motion. The particle passing in the homogeneous gravitational field is treated as a mechanical system subjected to a nonholonomic nonlinear constraint which keeps the magnitude of the instantaneous velocity of the particle constant during the motion. We present the comparison of the kinematic parameters of both motions (classical and uniform horizontal projectile motions) under the same initial conditions. The presented problem can serve as a suitable topic for an elementary course of theoretical mechanics on the university level. (original abstract)

Słowa kluczowe

EN

Mechanics

PL

Mechanika

• Czasopismo: Systems Supporting Production Engineering
• Rocznik: 2017
• Numer: 6(4) Cross-Border Exchange of Experience in Production Engineering Using Principles of Mathematics
• Strony: 314--324

Twórcy

autor

Martin Swaczyna

• University of Ostrava, Czech Republic

autor

Petr Volný

• VŠB - Technical University of Ostrava, Czech Republic

Bibliografia

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• O. Krupková. "The nonholonomic variational principle", J. Phys. A: Math. Theor. Vol. 42, No. 1, 185201, 2009, p. 1-40.
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• M. Swaczyna, P. Volný. "Uniform projectile motions: dynamics, symmetries and conservation laws", Rep. Math. Phys., Vol. 73, 2014, p. 177-200.
• M. Swaczyna, P. Volný. "Uniform motions in central fields", J. Geom. Mech., Vol. 9, 2017.