https://doi.org/10.1140/epjs/s11734-025-01635-7
Regular Article
Center of mass and area moment of inertia of fractal circular lamina
Department of Mathematics and Statistics, Aliah University, IIA/27, New Town, 700 160, Kolkata, West Bengal, India
Received:
9
December
2024
Accepted:
15
April
2025
Published online:
6
May
2025
Center of mass and moment of inertia are concepts of capital importance in physics and engineering. In this article, we provide explicit formulas for the mass, center of mass, and area moment of inertia of a lamina enclosed by a fractal curve near a circle. The fractal curve is a perturbation of a circular function obtained by means of fractal interpolation. The parameters are computed for several parts of the lamina and for the entire plane surface.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
