Tag Archives: velocity

937-948 V. Bulgakov, S. Pilipaka, V. Adamchuk and J. Olt
Theory of motion of a material point along a plane curve with a constant pressure and velocity
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Theory of motion of a material point along a plane curve with a constant pressure and velocity

V. Bulgakov¹*, S. Pilipaka¹, V. Adamchuk² and J. Olt³

¹National University of Bioresources and Nature Management of Ukraine, 15 Heroiv Oborony St., 03041 Kyiv, Ukraine;
*Correspondence: vbulgakov@meta.ua
²National Scientific Centre ‘Institute for Agricultural Engineering and Electrification’ National Academy of Agrarian Sciences of Ukraine (NAASU), 11 Vokzalna St., Glevakha-1, Vasylkiv District, Kyiv Region, 08630, Ukraine
³Institute of Technology, Estonian University of Life Sciences, Kreutzwaldi 56, 51014 Tartu, Estonia; jyri.olt@emu.ee

Abstract:

The theory of motion of a material point has been developed, as a result of which plane curves as orthogonal sections of cylindrical surfaces with horizontal generators that provide a constant force of pressure during motion of a particle along a curve at a constant velocity have been found. New differential equations of motion of a material point along a plane trajectory on the surface of the cylinder have been made. Visualisation of the obtained results has been performed. Individual cases of motion where the force of pressure on the surface was bigger, smaller or equal to the weight of the particles, and where reaction of the surface equalled zero have been found. The given theory can be successfully used for design of mouldboard surfaces of cultivator machines.

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