THE THEOREM ON THE n-SYMMETRY LINES OF A CONVEX FLAT PLATE

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Authors

Al.A. Shum, A.M. Vetoshkin

Abstract

The concept of the moment of the n-th order of a flat plate relative to a given straight line is considered. A straight line is a line of n-symmetry if the moments of the n-th order of the two sub-plates into which the original plate is divided by this line are the same. It is established that the moment of the n-th order of the convex flat plate relative to a straight line L, drawn parallel to a given straight line, reaches the smallest value when the straight line L is a line of (n 1)-symmetry of this plate.

Keywords

moment of n-th order, line of n-symmetry, half-mass line, equilibrium line, convex flat plate, density function, mass, center of mass, electric machine.