THE KINETIC ENERGY FORMULA FOR THE CLOSED
PLANAR HOMOTHETIC MOTIONS IN COMPLEX PLANE
A. Tutar$^1$, O. Sener$^2$
$^{1,2}$Department of Mathematics
Ondokuz Mayis University
55139 Kurupelit, Samsun, TURKEY
Abstract. In this paper, the kinetic energy formula was expressed during one-parameter closed planar homothetic motions in complex plane. Then the relation between the kinetic energy formula and the Steiner formula was given. As an example the sagittal motion of a winch was considered. This motion was described by a double hinge consisting of the fixed control panel of winch and the moving arm of winch. The results were applied to experimentally measured motion.
AMS Subject classification: 53A17, 70B10
Keywords and phrases: kinetic energy, Steiner formula, complex plane, homothetic motions


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DOI: 10.12732/ijam.v28i4.1

Volume: 28
Issue: 4
Year: 2015