TITLE:
The Formula of Kinetic Energy for the Closed Planar Homothetic Direct Motions
AUTHORS:
Ayhan Tutar, Esra Inan
KEYWORDS:
Steiner Formula, Kinetic Energy, Planar Kinematics, Homothetic Motions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.5,
May
27,
2015
ABSTRACT: In this
paper, during one-parameter closed planar homothetic direct motions, the
formula of kinetic energy is expressed. Then we show the relation between the
formula of kinetic energy and the Steiner formula. We investigate some
properties of closed planar homothetic motions. These motions appear between
two coordinate systems, fixed and moving (direct motion). Finally, we show how
the results can be applied to experimentally measured motions. As an example,
we consider a motion of winch in the sagittal direction. We obtain the formula
of kinetic energy for the motion of winch during one-parameter closed planar
homothetic direct motions.