Author(s)

Onder Sener¹, Ayhan Tutar^1,2*

¹Faculty of Art and Science, Ondokuz Mayis University, Samsun, Turkey.
²Department of Mathematics, Faculty of Science, Kyrgyz-Türk Manas University, Bishkek, Kyrgyzstan.

In this paper, the Steiner area formula and the polar moment of inertia were expressed during one-parameter closed planar homothetic inverse motions in complex plane. The Steiner point was defined when the rotation number was different zero and it was called the Steiner normal when the rotation number was equal to zero. The fixed pole point was given with its components and its relation between Steiner point or Steiner normal was explained. The sagittal motion of a telescopic crane was considered as an example. This motion was described by a double hinge consisting of the fixed control panel of the telescopic crane and the moving arm of the telescopic crane. The theoretical concepts and results were applied for this motion.

Steiner Formula, Polar Moment of Inertia, Planar Kinematics, Homothetic Inverse Motions, Complex Plane

Sener, O. and Tutar, A. (2017) On the Kinematics for the Closed Planar Homothetic Inverse Motions in Complex Plane. Journal of Applied Mathematics and Physics, 5, 1120-1129. doi: 10.4236/jamp.2017.55099.