The Moving Coordinate System and Euler-Savary's Formula for the One Parameter Motions On Galilean (Isotropic) Plane

Main Authors: Mucahit AKBIYIK, Salim YUCE
Format: Article Journal
Terbitan: , 2017
Subjects:
Online Access: https://zenodo.org/record/822219
Daftar Isi:
  • In this article, one Galilean (or called Isotropic) plane moving relative to two other Galilean planes (or Isotropic Planes), one moving and the other fixed, was taken into consideration and the relation between the absolute, relative and sliding velocities of this movement and pole points were obtained. Also a canonical relative system for one-parameter Galilean planar motion was defined. In addition, Euler-Savary formula, which gives the relationship between the curvature of trajectory curves, was obtained with the help of this relative system.