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Novel Theory of Mathematical Pendulum. Part 1

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
136--145
Opis fizyczny
Bibliogr. 24 poz., wykr.
Twórcy
autor
  • Koszalin University of Technology, Raclawicka 15-17, 75-620 Koszalin, Poland
  • Koszalin University of Technology, Raclawicka 15-17, 75-620 Koszalin, Poland
Bibliografia
  • [1] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 8(2) (2013) 113-122.
  • [2] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 8(3) (2013) 195-204.
  • [3] M. Jeżewski, Physics (in Polish). PWN, Warszawa 1966 (9th edition, up-dated).
  • [4] W. Hajko, Physics in examples (in Polish). WNT, Warszawa 1967, 1st edition (transl. from Czech).
  • [5] J. Zawadzki, W. Siuta, Mechanics. Statics, kinematics, dynamics of a point and material points system, kinetics of solids (in Polish). PWN, Warszawa –Wrocław 1966 (6th edition).
  • [6] J. Misiak, General mechanics, Vol. 2, Dynamics (in Polish). WNT, Warszawa 1993 (4th edition, up-dated).
  • [7] L. D. Landau, J. M. Lifszyc, Theoretical physics, Vol. 1: Mechanics (in Polish). PWN, Warszawa 2006, 4th edition (transl. from Russian).
  • [8] J. R. Taylor, Classical mechanics, Vol. 1 (in Polish). PWN, Warszawa 2006, 1st edition (transl. from English)
  • [9] S. Ziemba, Analysis of vibrations (in Polish). PWN, Warszawa 1957, 1st edition.
  • [10] Z. Osiński, Theory of vibrations (in Polish). PWN, Warszawa 1978, 1st edition.
  • [11] R. Kurowski, M. E. Niezgodziński, Strength of Materials (in Polish). PWN, Warszawa 1968, 8th edition.
  • [12] P. Atkins, Galileo finger (in Polish). Editorial House REBIS, Poznań 2006 (transl. from English), 1st edition.
  • [13] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 4 (2012) 8-16.
  • [14] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 5 (2012) 35-45.
  • [15] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 4 (2013) 56-72.
  • [16] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 6 (2013) 116-136.
  • [17] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 7(2) (2013) 85-101.
  • [18] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 2 (2012) 28-34.
  • [19] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 3 (2012) 1-10.
  • [20] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 3 (2012) 11-23.
  • [21] Zdzisław Pluta, Tadeusz Hryniewicz, International Letters of Chemistry, Physics and Astronomy 4 (2012) 1-7.
  • [22] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. J. Adv. Manuf. Technol. 62(5) (2012) 529-542; DOI:10.1007/s.00170-011-3813-5 (14 pages).
  • [23] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. J. Adv. Manuf. Technol. 51 (2010) 35-43; DOI:10.1007/s.00170-010-2595-5 (9pages).
  • [24] Zdzisław Pluta, Tadeusz Hryniewicz, Tribology Transactions 55(2) (2012) 230-236; http: 101080/10402004.2011.647385
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ad0309b8-1c6f-4635-b048-8406b29ccc00
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