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

被引：2

作者：

Soares, A. A. ^{[1
,2
]}

Caramelo, L. ^{[1
,3
]}

机构：

[1] Univ Tras Os Montes & Alto Douro, ECT UTAD, Dept Phys, Quinta Prados, P-5000801 Vila Real, Portugal

[2] Univ Porto, INEGI, Fac Engn, P-4100 Oporto, Portugal

[3] Univ Tras Os Montes & Alto Douro, CITAB, Quinta Prados, P-5000801 Vila Real, Portugal

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2015年 / 46卷 / 06期

关键词：

infinite series; centre of mass; triangular plates; symmetry; scaling;

D O I：

10.1080/0020739X.2015.1011245

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

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.

引用

页码：916 / 921

页数：6

共 7 条

[1]

Keller F.J., 1993, PHYS CLASSICAL MODER

[2]

Reidl C J, 1995, PHYS TEACH, V33, P126

[3]

Riley K.F., 2006, MATH METHODS PHYS EN, DOI DOI 10.1017/CBO9780511810763

[4] The centre of mass of a triangular plate [J].

Slusarenko, Viktor ;

Rojas, Roberto ;

Fuster, Gonzalo .

EUROPEAN JOURNAL OF PHYSICS, 2008, 29 (06) :1177-1182

[5]

Williams K., 1996, NEXUS ARCHITECTURE M

[6]

Yehuda S, 2007, PHYS ARCHITECTS

[7]

Yizhaq H., 2010, PHYS ED, V45, P500, DOI [10.1088/0031-9120/45/5/007, DOI 10.1088/0031-9120/45/5/007]

← 1 →