Exercise of Differential Geometry (Esercizio svolto di Geometria differenziale)

Dicembre 3rd, 2020 | by Marcello Colozzo |

Exercise of Differential Geometry,Esercizio svolto di Geometria differenziale,curvatura
Fig. 1

Determine the curvature of the arc of a curve in natural representation:


Solution
We first calculate the second derivative of the vector function x(s)


The curvature is


whose trend is shown in the figure


The curve is plotted in fig. 1

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