The Formula of Kinetic Energy for the Closed Planar Homothetic Direct Motions

Ayhan Tutar^*, Esra Inan

Department of Mathematics, Ondokuz Mayis University, Samsun, Turkey.

DOI: 10.4236/jamp.2015.35069                

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.

Keywords

Steiner Formula, Kinetic Energy, Planar Kinematics, Homothetic Motions

Conflicts of Interest

The authors declare no conflicts of interest.

References

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