Mathematical Problems in Engineering
Volume 2014, Article ID 686509, 8 pages
http://dx.doi.org/10.1155/2014/686509
Higher-Order Accelerations and Poles under the One-Parameter Planar Hyperbolic Motions and Their Inverse Motions
Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, Esenler, 34210 İstanbul, Turkey
Received 23 May 2014; Accepted 19 September 2014; Published 12 October 2014
Academic Editor: Paulo Batista Gonçalves
Copyright © 2014 Serdal Şahin and Salim Yüce. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We expressed the higher-order velocities, accelerations, and poles under the one-parameter planar hyperbolic motions and their inverse motions. The higher-order accelerations and poles are also presented by considering the rotation angle as a parameter of the motion and its inverse motion.