Using infinite series to calculate the centre of mass of triangular plates

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.

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Published in:International journal of mathematical education in science and technology 2015-08, Vol.46 (6), p.916-921
Main Authors: Soares, A.A., Caramelo, L.
Format: Article
Language:English
Subjects:
Calculus
centre of mass
infinite series
scaling
symmetry
triangular plates
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description 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.
doi_str_mv 10.1080/0020739X.2015.1011245
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subjects Calculus
centre of mass
infinite series
scaling
symmetry
triangular plates
title Using infinite series to calculate the centre of mass of triangular plates
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