The Holditch-Type Theorem for the Polar Moment of Inertia of the Orbit Curve in the Generalized Complex Plane
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.26, sa.4, ss.1179-1193, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26 Sayı: 4
- Basım Tarihi: 2016
- Doi Numarası: 10.1007/s00006-016-0642-5
- Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1179-1193
- Erzincan Binali Yıldırım Üniversitesi Adresli: Evet
Özet
In this study, we first calculate the polar moment of inertia of orbit curves under one-parameter planar motion in the generalized complex plane and then give the Holditch-type theorem for : When the fixed points and on the moving plane trace the same curve with the polar moment of inertia , the different point on this line segment traces another curve with the polar moment of inertia during the one-parameter planar motion in the fixed plane . Thus, we obtain that the difference between the polar moments of inertia of these curves depends on the only the -distances of this points and -rotation angle of the motion,. T-X - T-Z = delta(p)ab.