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Mass Moment Determination Using Compound Pendulum

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
Strony
85--100
Opis fizyczny
Bibliogr. 28 poz., rys.
Twórcy
autor
  • Koszalin University of Technology, Raclawicka 15-17, PL 75-620 Koszalin, Poland
Bibliografia
  • [1] K. R. Popper, Logic of Scientific Discovery (in Polish). PWN, Warszawa, 1977.
  • [2] S. Pabis, Method of empirical sciences – 12 lectures (in Polish). Edit. Office of Politechnika Koszalińska, Koszalin, 2007.
  • [3] T. Scott, Think like Einstein (in Polish). Edit. Office REBIS, Poznań 2001, 1st Edition (transl. from English).
  • [4] Zdzisław Pluta, Tadeusz Hryniewicz, Journal of Quantum Information Science (JQIS), 1(3) (2011) 127-134.
  • [5] M. Mazur, Technical Terminology (in Polish). WNT, Warszawa 1961, 1st Edition.
  • [6] W. Hajko, Physics in Examples (in Polish). WNT, Warszawa 1967, 1st Edition (transl. from Czech).
  • [7] T. Drynski, Laboratory Experiments in Physics (in Polish). PWN, Warszawa 1978, 7th Edition.
  • [8] M. R. Matthews, A. Stinner, C. F. Gauld, The Pendulum: Scientific, Historical, Philosophical and Educational Perspectives, Springer, 2005
  • [9] M. R. Matthews, C. F. Gauld, A. Stinner, Science & Education, 13 (2005) 261-277.
  • [10] S. Ziemba, Vibration Analysis (in Polish). PWN, Warszawa 1957.
  • [11] R. Nelson, M. G. Olsson, American Journal of Physics, 54(2) (1986) 112–121. DOI: 10.1119/1.14703.
  • [12] K. Piszczak, J. Walczak, Vibrations in Machine Building (in Polish). PWN, Warszawa-Kraków, 1967, 2nd Edition.
  • [13] Z. Osinski, Theory of Vibrations (in Polish). PWN, Warszawa, 1978, 1st Edition.
  • [14] R. Hooke, D. Shaffer, Mathematical Models and the Reality (in Polish). PWN, Warszawa, 1969 (transl. from English).
  • [15] J. R. Taylor, Classical Mechanics, Vol. 1 (in Polish), Wydawnictwo Naukowe PWN, Warszawa, 2006 (transl. from English), 1st Edition.
  • [16] Zdzisław Pluta, Fundamentals of Smoothing Using Elastic Abrasive Wheels (in Polish) Edit. Office of Politechnika Koszalińska, Koszalin, 2007.
  • [17] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. Letters of Chemistry, Physics and Astronomy 1 (2013) 1-16.
  • [18] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. Letters of Chemistry, Physics and Astronomy 1 (2013) 17-32.
  • [19] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. Letters of Chemistry, Physics and Astronomy 2 (2012) 28-34.
  • [20] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. Letters of Chemistry, Physics and Astronomy 3 (2012) 1-10.
  • [21] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. Letters of Chemistry, Physics and Astronomy 3 (2012) 11-23.
  • [22] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. Letters of Chemistry, Physics and Astronomy 4 (2012) 1-7.
  • [23] J. Magueijo, Faster than Light (in Polish). Edited by Amber, Warszawa, 2003 (transl. from English), 1st Edition.
  • [24] P. Atkins, Galileo Finger (in Polish). Edit. Office REBIS, Poznań, 2006 (transl. from English), 1st Edition.
  • [25] M. Chown, Quantum Theory Does not Bite. Guide through the Universe (in Polish). Wydawnictwo Zysk and Co., Poznań, 2009 (transl. from English), 1st Edition.
  • [26] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. J. Adv. Manuf. Technol. 51 (2010) 35-43. DOI: 10.1007/s00170-010-2595-5.
  • [27] Zdzisław Pluta, Tadeusz Hryniewicz, Intern. J. Adv. Manuf. Technol. 62 (2012) 529- 542. DOI: 10.1007/s00170-011-3813-5.
  • [28] Zdzisław Pluta, Tadeusz Hryniewicz, J. Modern Physics. 3 (2012) 625-635. DOI:10.4236/jmp.2012.37086.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPS4-0003-0050
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