Basic Principles of Classical Mechanics

Author(s):  
Vladimir I. Arnold
2021 ◽  
Vol 304 ◽  
pp. 03012
Author(s):  
Khayriddin Fayzullaev ◽  
Farmon Mamatov ◽  
Bakhadir Мirzaev ◽  
Dilmurod Irgashev ◽  
Sodik Mustapakulov ◽  
...  

The aim of the study is to develop a machine for preparing the soil for sowing melons under a tunnel film. The authors have developed a machine for preparing the soil for sowing melons under a tunnel film, which is equipped with deep-diggers with an inclined stand of the “paraplau” type, a furrow maker and rotary working bodies. A design diagram and a fragment of the machine operation have beak given. The basic principles and methods of classical mechanics, mathematical analysis and statistics were used in this study. Tests have established that the developed machine reliably performs the specified technological process and its performance indicators fully meet the requirements. When using the developed machine for preparing the soil for sowing melons under the film, the direct cost of processing one hectare of area is reduced by 33.4%. The study’s goal is to create a machine that prepares soil for seeding melons under a tunnel film. The authors have created a machine that includes deep-diggers with a “paraplau” style inclined platform, a furrow maker, and rotating working bodies for preparing the soil for planting melons beneath a tunnel film. A design schematic as well as a portion of the machine functioning has been provided. In this work, the fundamental concepts and methodologies of classical mechanics, mathematical analysis, and statistics were employed. The created machine reliably executes the required technical procedure, and its performance indicators completely fulfill the criteria, according to tests. The direct cost of processing one hectare of land is lowered by 33.4 percent when utilizing the developed machine to prepare the soil for growing melons beneath the film.


2021 ◽  
Vol 264 ◽  
pp. 04035
Author(s):  
Dustmurod Chuyanov ◽  
Golib Shodmonov ◽  
Gayrat Ergashov ◽  
Islom Choriyev

The purpose of the study is to substantiate the method and design scheme of a combined machine for preparing the soil and sowing melons. The authors propose a new method of soil preparation and sowing, as well as a machine for its implementation. The basic principles and methods of classical mechanics, mathematical analysis, and statistics were used in this study. The method of preparing the soil and planting gourds provides a combination of the following technological processes: the turnover of the layers of the upper layer of soil, the sowing area to the left and to the right, shallow tilling the soil of the field with the left and right sides of the sowing area, deep tillage seeding areas with simultaneous formation of irrigation furrows and the local application of fertilizers, soil preparation for sowing in line sowing and sowing seeds of melons. The machine consists of lister housings installed along the axis of symmetry of the unit, flat cutters, parallel-type deep-diggers, furrowers, coulters for fertilizing, and a sowing device. It was found that preparation of soil for sowing and planting of melons with a minimum expenditure of energy is provided by the width of Lusternik buildings 86 cm, the width of tillers and cultivators, respectively, 45 and 33 cm, the longitudinal distance between the body and the plane of 35 cm between the cultivators of 42.3 cm, and longitudinal spacing of the chisel cultivator and sowing device 110 cm.


2021 ◽  
Vol 264 ◽  
pp. 04039
Author(s):  
Khayriddin Fayzullayev ◽  
Dilmurod Irgashev ◽  
Sodiq Mustapakulov ◽  
Mokhichekhra Begimkulova

The purpose of the research is to justify the type of subsoiling plates of the machine for preparing the soil for sowing melon crops. The machine designed by the authors for the preparation of the soil for sowing melon crops under the tunnel film is equipped with deep loosening subsoilers of “paraplough” type with loosening plates. The scheme of subsoiler arrangement on the frame of the machine is shown. The basic principles and methods of classical mechanics, mathematical analysis, and statistics were used in this study. The scheme of subsoiler arrangement on the frame depending on their parameters has been theoretically justified. Experimental studies have established that using a subsoiler in the form of a rod and plate with a length of 12 cm and a height of 20 cm provides the required crumbling of the soil at minimum energy consumption.


2021 ◽  
Vol 264 ◽  
pp. 04046
Author(s):  
Sanjar Toshtemirov ◽  
Serobjon Mustafayev ◽  
Alham Xo'jayev ◽  
Isomiddin Mamatkulov ◽  
Farrukh Boboev

The study aims to justify the design scheme and main parameters of the combined aggregate for soil preparation for cotton sowing on ridges. The authors have developed the technology of soil preparation for cotton sowing on ridges and the aggregate for its implementation. The technology and design scheme of the developed aggregate are presented. The unit consists of a mouldboard deep loosener with a sloping rack and a ridge maker. The basic principles and methods of classical mechanics, mathematical analysis, and statistics were used in this study. The optimum constructive scheme of combined aggregate is grounded. It was established that to provide formation of new ridges instead of existing ones on fields without stems of cotton with the required degree with minimum power consumption working surfaces of inclined deep looseners equipped with mouldboards and rippers should be turned to each other and shifted relative to each other in a longitudinal plane. The formation of ridges to the required degree with minimal energy input is ensured at a width and length of the subsoiler's chisel, respectively 5 and 20 cm, the width of the wing width 21 cm, wing length between 47 and 49 cm, minimum longitudinal spacing between subsoilers 35 cm.


Author(s):  
Robert Huber ◽  
Jan Clauberg ◽  
Heinz Ulbrich

Classical mechanics is mainly based on two mechanical principles, the principle of linear momentum (Isaac Newton) and the principle of angular momentum (Leonhard Euler). The principle of angular momentum implies that the time derivative of the angular momentum equals the sum of all torques, acting on the body. Concerning all types of education it is particularly important that theoretical basic principles are profoundly understood. This often enables to understand difficult mechanical systems by drawing parallels between complex mechanical systems and simple basic principles. One way to generate profound understanding of theoretical correlations is to use interesting experimental examples. In this paper, a teaching model is presented, which has the ability both to demonstrate the effects of the principle of angular momentum and to catch the attention of students. For this purpose, a remote-controlled model car was built carrying a high-speed gyroscope on its top. The gyroscope can cause that the car turns over to the inside of a turn against the centrifugal force. Even more, it is possible to drive in a circle on the inner tires of the RC vehicle.


2021 ◽  
Vol 939 (1) ◽  
pp. 012066
Author(s):  
F Mamatov ◽  
I Temirov ◽  
P Berdimuratov ◽  
A Mambetsheripova ◽  
S Ochilov

Abstract The purpose of the study is to substantiate the parameters of a two-tier plow for plowing soil from under cotton. The basic principles and methods of classical mechanics, mathematical analysis and statistics were used in this study. The effects of the cotton field relief on the tillage and traction resistance of a two-tier plow were studied theoretically and experimentally. Analytical expressions are obtained for determining the uniformity of the course, the load of the bodies and the center of resistance of the plow, depending on its main parameters and the roughness of the relief of the cotton field. It is established that serial two-tier plows, due to the discrepancy between their width of the gripper and the width of the row spacing, do not meet the requirements of agricultural technology: the plowing depth is not stable, the coefficient of variation of the plowing depth reaches 16% for a trailed plow, and for a mounted plow - 25.8%; the transverse direction of the plough the bottom of the furrow turns out to be stepped; the value of the traction resistance changes at each pass of the plow. To improve the quality of plowing fields from under cotton, a new plowing method has been developed, carried out by a two-tier plow, the width of which is a multiple of the width of the row spacing of cotton. The width of the plow bodies is equal to half the width of the row spacing.


2021 ◽  
Vol 939 (1) ◽  
pp. 012068
Author(s):  
B Mirzaev ◽  
F Mamatov ◽  
U Kodirov ◽  
X Shirinboyev

Abstract The purpose of the study is to substantiate the parameters of the guide knife and the loosening pointed leg of the machine. The basic principles and methods of classical mechanics, mathematical analysis and statistics were used in this study. Theoretical studies were carried out to determine the parameters of the guide knife and the loosening pointed leg of the machine. It is established that to ensure the required value of the crest height with minimal energy consumption, the height and length of the guide knife should be 8 and 15 cm, respectively, the angle of the knife blade to the horizon - 30º, the longitudinal distance from the toe of the ploughshare body of the knife toe – 13 cm. To ensure the required crumbling of the soil, the width of the pointed loosening paw should be 15 cm.


2021 ◽  
Vol 304 ◽  
pp. 03013
Author(s):  
Uktam Umurzakov ◽  
Farmon Мамаtov ◽  
Bakhadir Mirzaev ◽  
Sherzod Kurbаnov ◽  
Sunatullo Badalov ◽  
...  

The purpose of the study was the development of a front plow with angle clamps, which performs, smooth plowing. The authors have developed an improved front plow with angle clamps. The constructive scheme of the plow has been given. The basic principles and methods of classical mechanics, mathematical analysis and statistics were used in this study. Experimental studies have justified the processing depth within the limits of 10-12. 5 cm and the width of the capture of the angle is within the range of 7.5-10 cm. Economic tests have established that the developed front plow reliably performs the specified technological process and its performance indicators meet agrotechnical requirements. The use of a frontal plow for smooth, plowing provides a reduction in direct costs for processing 1 hectare of area compared to the technical means used by 26.8%.


2021 ◽  
Vol 304 ◽  
pp. 03010
Author(s):  
Hamrokul Ravshanov ◽  
Farmon Mamatov ◽  
Odil Primov ◽  
Shakhnoza Khazratkulova ◽  
Dilshod Baratov

The aim of the study is to study and analyze the physical, mechanical and technological properties of soils from under winter grain crops in the hot climate of Uzbekistan. The results of determining the moisture content, density, hardness and resistance to various deformations of soils after harvesting winter wheat are presented. The basic principles and methods of classical mechanics, mathematical analysis and statistics were used in this study. Studies have found that, in the layer 0-30, the soil moisture for ten days after harvesting winter cereals decreases by 12.1-16.3%, and the soil hardness increases by 10.7-16.4% and are 3.22-5.14 MPa. At the same time, at an average humidity of 12-14%, the resistance of the soil to breakage and torsion, respectively, is 1.3-1.8 and 1.0-1.1 times higher than the resistance of the soil to shear. The resistance of the soil to shear is 87.9 kPa, and to breakage and torsion-69.7 and 78.6 kPa, respectively.


2021 ◽  
Vol 264 ◽  
pp. 04044
Author(s):  
Parakhat Berdimuratov ◽  
Bakhtiyar Shaymardanov ◽  
Dilshod Ruziyev ◽  
Abdulaziz Khujakulov ◽  
Irina Gorlova ◽  
...  

The research aims to develop a seed drill for precise seeding on a ridge with drip irrigation. The basic principles and methods of classical mechanics, mathematical analysis, and statistics were used in this study. The existing technologies of sowing cotton seeds are analyzed. The authors have developed a method of seeding the cotton on the crest with drip irrigation and drill for its implementation, including the working body for fertilizer, shaper gasket comb attached to him Coulter, sigortac for seeding, packer roller, device for laying irrigation hose, and sigortac for sealing hose soil. Combining the operations of sowing cotton seeds with the simultaneous formation of ridges, fertilizing, and drip irrigation helps to reduce labor costs and increase the yield of raw cotton. This reduces the consumption of irrigation water, simplifies the design of the irrigation hose, and increases its service life


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