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Novel Theory of Mathematical Pendulum. Part 2

100%

Pluta Z. , Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

2013

tom Vol. 9, iss. 2

186-201

The paper is concerned on a new adequate theory of a simple mathematical pendulum. Part 1 of the paper was devoted to the behaviour of pendulum in particular points, that is central and terminal/extremum ones. This Part 2 of the theory begins with the analysis of path length of the pendulum weight. Then the kinetics of the pendulum weight is analyzed by separating and the descriptions of differentiated motion of this body in the consecutive neighbouring space-times corresponding with particular quarter-periods. It is about accelerated free variable motion and the following after it a retarded motion of this kind, and then again accelerated, etc. In the summary, further elaborations in the subject are forecasted, regarding both dynamics and energy of the flat mathematical pendulum. It is indicated that the necessity to “rethink” many existent theories is of importance.

Novel Theory of Mathematical Pendulum. Part 1

100%

Pluta Z. , Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

2013

tom Vol. 9, iss. 2

136-145

In the paper, a new adequate theory of a simple mathematical pendulum is presented. This paper consists of two parts. In Part 1, the behaviour of pendulum in particular points, that is in central and terminal/extremum ones have been analyzed very carefully in detail. System of forces in these points was considered with a special attention turned towards the terminal points where the equilibrium of forces occurs and in the next moment the lack of that equilibrium takes place with the proof of the open polygon of forces as the condition of beginning of accelerated free variable motion. Part 2 of the paper is to be devoted to the kinetics of the pendulum weight presented by separating in it the descriptions of differentiated motion of this body in the consecutive neighbouring space-times corresponding with particular quarter-periods. In the conclusion, further elaborations in the subject are forecasted, regarding both dynamics and energy of the flat mathematical pendulum.

Critics of Existent Theory of Mathematical Pendulum. Part 2

100%

Pluta Z. , Hryniewicz T.

tom Vol. 8, iss. 3

195-204

In the second part of the paper, the thesis is proved to state that the existent theory describes simply a shadow of the rotating apparent mathematical pendulum. Hence, it appears, even that existent description is not sufficiently adequate. Finally, all defects of the theory, which resulted in so inadequate description of the oscillation motion of the simple mathematical pendulum, have been revealed. The necessity to re-build the existent theory has been indicated in the conclusion. Return to the source is to be the first, essential step on the new path of the cognitive action.

Critics of Existent Theory of Mathematical Pendulum. Part 1

100%

Pluta Z. , Hryniewicz T.

tom Vol. 8, iss. 2

113-122

In the framework of this paper a deep critics of existent theory of the simple mathematical pendulum is presented. This work consists of two parts. In the first part of the paper, a thesis is stated to derive a mystification character of the theory. The up-to-date, excerpted from the literature, descriptions of the oscillation motion of the mathematical pendulum, are delivered. This part of the paper is to show that the existent theory describes simply a shadow of the rotating apparent mathematical pendulum. The necessity to re-build the existent theory has been indicated.

Mass Moment Determination Using Compound Pendulum

84%

Pluta Z. , Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

2013

tom Vol. 3

85-100

This work has been performed to verify the existent knowledge on determination of the mass moment. For the experiment, a compound pendulum was used. The motivation to undertake these studies were experimental results indicating a big discrepancy in mass moments between the values coming from calculations using the definition formula and these obtained from the experiment. In relation to the axial moment the relative error equals 23.6%, whereas regarding the polar moment the error reached 56.4%. Considering the reason of that discrepancy we could find the existent theory not to be adequate. The theory is then considered in view of verifying first the mathematical pendulum and next the physical/ compound pendulum theory. The consideration has been focused on the description of accelerated motion cycle of both pendulums as it was enough to solve the problem. A source differential equation, which serves to solve any quantum phenomena, was used in the study. Then the course of creation of detailed characteristics of the phase of mathematical pendulum accelerated motion is presented as the basis to derive formula on the mass moment of a compound pendulum. At the end this new adequate theory was verified showing the relative error to be less than one per cent.

Comparison of methods for gravity accleration measurement

84%

Brezny P.

2008

tom z. 7

7--10

The article is dealing with the comparison of the chosen methods for gravity acceleration measurement. It publishes historical aspects and basic theory of gravity acceleration briefly. The results of the measurement are judged and the comparison of its accuracy is done at the end.

Příspěvek se zabývá srovnáním vybraných metod měření gravitačního zrychlení. Stručně uvádí historické aspekty a základní teorii tíhového zrychlení. Výsledky měření jsou posouzeny a jejich nejistoty srovnány v závěru příspěvku.