One of the most common approaches in modern engineering research, including vehicle dynamics, is to formulate an accurate, but typically complex, mathematical model of a system or phenomenon and then use a software package to solve it. Typically, the solution is obtained in the form of a large data set, which may be difficult to analyse and interpret. This paper represents a purely theoretical analysis of a special case of vehicle longitudinal motion. Starting from a simplified mathematical model, a set of transcendental equations was derived that represents the exact solution of the model (i.e., in a closed form). The equations are analysed and interpreted in terms of what is their physical meaning. Although the equations derived here have only limited application in studying real world problems, due to the simplicity of the mathematical model, they offer a deeper insight into the nature of vehicle longitudinal motion.
Investigations were carried out on Arbor Acres laying hens divided into two experimental groups, with group! having an initial mass of 2.70 kg, and group II of 2.15 kg. On entering exploitation, the laying hens were 22 weeks old and the experiment lasted 43 weeks. The production results were followed and analyzed according to the periods of exploitation: the first period was from 23-44 weeks, the second period from 45-52 weeks, and the third period from 53-65 weeks. The percent egg-laying ability and hatching egg production were statistically important in group I in the first period (p<0.05), while there were no statistically significant differences between groups (p>0.05) totally in the second and in the third periods, or in feed utilization per laying hen or mortality of laying hens. Based on analytical calculations, a 6.30% higher profit was established per egg for laying hens of group I, and a critical point of production feasibility was determined in a projection of hatching egg production with laying hens of bigger initial mass in the 2.38th month of exploitation, at a production scale of 68,132 hatching eggs
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