TY - JOUR
T1 - A Simple Expression for the Center of Mass of a System of Particles in a
Two-Dimensional Space with Constant Positive Curvature
AU - P. Ortega Palencia, Pedro AU - Dario Ortiz, Ruben AU - Reyes Victoria, J. Guadalupe
JO - Journal of Engineering and Applied Sciences
VL - 14
IS - 24
SP - 9603
EP - 9607
PY - 2019
DA - 2001/08/19
SN - 1816-949x
DO - jeasci.2019.9603.9607
UR - https://makhillpublications.co/view-article.php?doi=jeasci.2019.9603.9607
KW - Center of masses
KW -conformal metric
KW -spherical rule of the lever
KW -geodesic
KW -Euclidean case
KW -one-dimensional sphere
AB - In this research is given a simple expression for the center of mass of a system of material points in
a two-dimensional surface of Gaussian constant positive curvature. Using basic techniques of geometry, an
expression in intrinsic coordinates is obtained and it is showed how this extend the definition for the Euclidean
case. The argument is constructive and also serves for defining center of mass of a system of particles on the
one-dimensional Sphere S1R.
ER -