Another reversing gyroscope

• Autorzy: Hara K.
• Języki publikacji: EN

Abstrakty

EN

When a gimbal-mounted gyroscope revolves (Ω) on a circular path or on the center of a turntable in the direction opposite to the gyroscope spin (ω) (ω > Ω), the symmetry axis reverses from θ = 180° to θ = 0° and aligns with the vertical axis of revolution. This paper corrects the classic statement on this problem and proposes that the external torque originates in the gyroscopic effect by revolution, an effect ultimately caused by friction.

Słowa kluczowe

EN

gyroscope; reversal phenomena

PL

żyroskop

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2008
• Tom: Vol. 49, no 1
• Strony: 27--37
• Opis fizyczny: Bibliogr. 20 poz., rys., wykr.

Twórcy

autor

Hara K.

• Sendai Ikuei Gakuen High School, 5-6-1 Takahashi, Tagajo, Miyagi, 985-0853 Japan,

Bibliografia

• 1. C.G. GRAY, B.G. NICKEL, Constants of the motion for nonslipping tippe tops and other tops with round pegs, Am. J. Phys., 68, 821-828, 2000.
• 2. H. SOODAK, A geometric theory of rapidly spinning tops, tippe tops, and footballs, Am. J. Phys., 70, 815-828, 2002.
• 3. H.K. MOFFATT, Y. SHIMOMURA, Spinning eggs - a paradox resolved, Nature, 416, 385-386, 2002; KEN SASAKI, Spinning eggs-which end will rise?, Am. J. Phys., 72, 775-781, 2004.
• 4. A. SOMMERFELD, Mechanics, Lecture on Theoretical Physics, Vol. I, Academic, New York, 150-153, 1952.
• 5. H. GOLDSTEIN, Classical Mechanics, Addison-Wesley, Reading, MA, 1st. ed., 175, exercise 5-15, 1950.
• 6. G.I. OPAT, Coriolis and magnetic forces: The gyrocompass and magnetic compass as analogs, Am. J. Phys., 58, 1173-1176, 1990.
• 7. F.G. PERRY, Spinning Tops and Gyroscopic Motions, Sheldon, London, 1890, reprinted by Dover, 21-23, 1957.
• 8. H. CRABTREE, An Elementary Treatment of the Theory of Spinning Tops and Gyroscopic Motion, Longmans Green, London, 1909, reprinted by Cheisea, 11-12, 1967.
• 9. W.B. CASE, M.A. SHAY, On the interesting behavior of a gimbal-mounted gyroscope, Am. J. Phys., 60, 503-506, 1992.
• 10. V.D. BARGER, M.G. OLSSON, Classical Mechanics, McGraw-Hill, New-York, 1st ed., Chs. 5, 6, 1973.
• 11. H. SOODAK, M.S. TIERSTEN, Resolution analysis of gyroscopic motion, Am. J. Phys., 62, 687-694, 1994.
• 12. J.B. SCARBOROUGH, The Gyroscope, Interscience Publishers, INC., New York, Chs. II, III, IV, 1958.
• 13. R.P. FEYNMAN, R.B. LEIGHTON, M.L. SANDS, The Feynman Lectures on Physics, Addison-Wesley, MA, T, Ch. 20, 1963.
• 14. Encyclopaedia Britannica, William Benton Publisher, Chicago, 10, 1078-1084, 1970.
• 15. E.F. TAYLOR, Introductory Mechanics, John Wiley & Sons, Inc., New York, 225, 1963.
• 16. J.P. DEN HARTOG, Mechanics, McGraw-Hill, New-York, 1948, reprinted by Dover, 375 (Problem 116), 1961.
• 17. M.M. STERNHEIM, J.W. KANE, General Physics, John Wiley & Sons, Inc., New York, 82-83, 1986.
• 18. N.G. CHETAEV, Theoretical Mechanics, Springer-Verlag, Berlin, Ch. 1, 1989.
• 19. H. GOLDSTEIN, Classical Mechanics, Addison-Wesley, Reading, MA, 2nd. ed., exercise 5-9, 1980; N. SETOH and T. YOSHIDA, Answers to Exercises in Goldstein's Book “Classical Mechanics”, Yoshioka Shoten, Kyoto, 2nd. ed., ditto [in Japanese], 1983.
• 20. N. SETOH, T. YOSHIDA, Answers to Exercises in Goldstein’s Book “Classical Mechanics”, Yoshioka Shoten, Kyoto, 1st. ed., exercise 5-15 [in Japanese], 1974.