On polar moments of inertia of Lorentzian circles
Journal of Applied Sciences, cilt.6, sa.2, ss.383-386, 2006 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 6 Sayı: 2
- Basım Tarihi: 2006
- Doi Numarası: 10.3923/jas.2006.383.386
- Dergi Adı: Journal of Applied Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.383-386
- Anahtar Kelimeler: Lorentzian circle, Lorentzian motion, Moment of inertia, Trigonometry in Lorentzian geometry
- Ondokuz Mayıs Üniversitesi Adresli: Hayır
Özet
In this study, we first compute the polar moment of inertia of orbit curves under planar Lorentzian motions and then give the following theorems for the Lorentzian circles: When endpoints of a line segment AB with length a +b move on Lorentzian circle (its total rotation angle is δ) with the polar moment of inertia T, a point X which is collinear with the points A and B draws a Lorentzian circle with the polar moment of inertia Tx. The difference between T and Tx is independent of the Lorentzian circles, that is, Tx - T = δab. If the endpoints of AB move on different Lorentzian circles with the polar moments of inertia TA and TB, respectively, then Tx = [aTB + bTA]/(a + b) - δab is obtained. © 2006 Asian Network for Scientific Information.