Movement of a material particle on an inclined plane all the points of which describe circles in oscillatory motion in the same plane Differential equations of material particle movement on an inclined rough plane, which performs oscillatory motion in such a way that its every point describes a circle in the same plane, have been deduced. Peculiarities of relative particle movement on a plane depending on the angle of its inclination to the horizon have been investigated. The equations have been solved using numerical methods. Relative velocities have been found and particle motion trajectories have been constructed. Kinematic characteristics of relative particle movement depending on the angle of plane inclination, angular velocity, the coefficient of particle friction on a plane and the radius of circular motion of plane points have been determined.

An important component for ensuring the efficient use and improving the reliability of agricultural machinery is the availability of appropriate regulatory and technical documentation governing the requirements for its technical condition and operation. Serviceability of equipment can be restored during repair, and operability - is maintained during maintenance and in the course of operation on the basis of recommendations provided by the instructions and guiding materials on the use of machines. For timely and effective maintenance and repair of means for preparation and distribution of fodder (MPDF) it is necessary to know: criteria of operability loss; limit and admissible values of parameters of the technical state; process indicators of transition of machinery from operable to non-operable state; regularities of changes in the main properties. The article presents the monitoring of instructions for maintenance and operation of machinery, guiding materials for use from the position of their informativeness on the implementation of reliability requirements. The monitoring was conducted for the analysis of foreign samples of MPDF. Within the framework of the monitoring, grinding-mixing mechanisms (GMM) were analyzed from the position of availability of information about design features, possible failures and malfunctions, main ways of restoration of serviceability. The main provisions, which are determinative for estimation of technical condition of separate parts and working bodies, for improvement of GMM and MPDF reliability as a whole when using guiding materials, have been established. The provisions include: information about indicators of machine reliability; frequency of maintenance and repair of machines, restoration of working parts; information about the labor intensity of maintenance and repair of machines, restoration of working parts; diagrams of assembly-disassembly of mechanisms, restoration of working parts; typical failures and sequence of their elimination; criteria of limiting condition; technologies of restoration of working parts; information on storage requirements

The efficiency of agriculture and its individual sectors largely depends on the provision of technical means for technological processes of production. Reducing the number of agricultural machinery and equipment, reducing the quality indicators of their use leads to a reduction in the volume of production of the agrarian industry. In connection with the constant development of scientific and technological progress, the study of the market of agricultural machinery and repair costs for loss of performance requires new research and modern scientific approaches. In recent years, the formation of directions to ensure the reliability of agricultural machinery in the system of innovation processes based on the analysis of repair costs remains relevant. The paper presents the results of research on the dynamics of expenditures on repair of agricultural machinery in the period 2015-2019. From the information sources of the State Statistics Service of Ukraine it was found that in 2019 the costs of repair of agricultural equipment amounted to 2127.5 million UAH. The maximum expenses for repair of agricultural equipment in 2019 in Ukraine among regions was 279.55 million UAH in Kyiv region. Expenditures of funds for repair of agricultural equipment in Kyiv region have a dispersion in the range from 1,726 thousand UAH to 44866.29 thousand UAH. During the processing of statistical data, the agricultural enterprises of the region were conditionally divided into three gradations: І grade – 42 enterprises; ІІ grade – 101 enterprises; ІІІ grade – 43 enterprises. Prospective directions of research are the analysis and synthesis of costs for repair of agricultural machinery, improvement of maintenance and repair strategies. The methods of research of agricultural machinery repair costs should be based on the results of statistical analysis, take into account the state of machines in operation, the repair strategies addopted, the results of technical condition monitoring.