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Using infinite series to calculate the centre of mass of triangular plates |
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| Authors: | A.A. Soares L. Caramelo |
| Affiliation: | 1. Physics Department, ECT-UTAD, University of Trás-os-Montes e Alto Douro, Quinta de Prados, 5000-801 Vila Real, Portugal;2. INEGI/Faculty of Engineering, University of Porto, Porto, Portugalasoares@utad.pt;4. CITAB, University of Trás-os-Montes e Alto Douro, Quinta de Prados, 5000-801 Vila Real, Portugal |
| Abstract: | We present an alternative and pedagogical method to calculate the centre of mass of homogeneous triangular plates by using scaling, symmetry and geometric infinite series. This work also aims to better understand problems that involve concepts of centre of mass of discrete and continuous systems. |
| Keywords: | infinite series centre of mass triangular plates symmetry scaling |