﻿140:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
CN.F.5.1.24. Determinar experimentalmente el centro de masa para un sistema simple de dos cuerpos y reconocer que el centro de masa de un sistema aislado puede :@0.147197:0.947253:0.879066:0.947253:0.879066:0.937211:0.147197:0.937211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permanecer en reposo o moverse en línea recta y velocidad constante.:@0.145521:0.956054:0.449870:0.956054:0.449870:0.946012:0.145521:0.946012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Has jugado :@0.196081:0.117049:0.277961:0.117049:0.277961:0.101986:0.196081:0.101986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Jenga:@0.277961:0.117155:0.312119:0.117155:0.312119:0.102118:0.277961:0.102118:0.000000:0.000000:0.000000:0.000000:0.000000
? ¿Por :@0.312122:0.117049:0.351981:0.117049:0.351981:0.101986:0.312122:0.101986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
qué, en un momento determi-:@0.153337:0.132891:0.351469:0.132891:0.351469:0.117828:0.153337:0.117828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nado, cae la torre?:@0.153337:0.148733:0.270100:0.148733:0.270100:0.133670:0.153337:0.133670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199643:0.090434:0.323253:0.090434:0.323253:0.072751:0.199643:0.072751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se mantienen :@0.191333:0.219215:0.332632:0.219215:0.332632:0.204152:0.191333:0.204152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en equilibrio las piedras de la :@0.153339:0.235057:0.343907:0.235057:0.343907:0.219994:0.153339:0.219994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imagen? :@0.153339:0.250899:0.209944:0.250899:0.209944:0.235836:0.153339:0.235836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.194183:0.193313:0.354751:0.193313:0.354751:0.175630:0.194183:0.175630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Centro de masa:@0.404235:0.106995:0.596267:0.106995:0.596267:0.062336:0.404235:0.062336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todo el análisis de los elementos que se ha hecho hasta el momento :@0.404235:0.138517:0.895866:0.138517:0.895866:0.122020:0.404235:0.122020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha sido ignorando su forma, es decir, asumiendo al objeto como si :@0.404235:0.155868:0.895938:0.155868:0.895938:0.139371:0.404235:0.139371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fuese un:@0.404235:0.173219:0.468290:0.173219:0.468290:0.156721:0.404235:0.156721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.468482:0.173219:0.472624:0.173219:0.472624:0.156721:0.468482:0.156721:0.000000
objeto puntual:@0.475015:0.173436:0.590085:0.173436:0.590085:0.156721:0.475015:0.156721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Hasta este momento, no ha existido la :@0.590279:0.173219:0.895961:0.173219:0.895961:0.156721:0.590279:0.156721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesidad de especificar dimensiones de los cuerpos en temas de :@0.404235:0.190570:0.895882:0.190570:0.895882:0.174072:0.404235:0.174072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilibrio y colisiones. En cuerpos volumétricos, para conocer las :@0.404235:0.207920:0.895921:0.207920:0.895921:0.191423:0.404235:0.191423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consecuencias de las interacciones, es necesario conocer sus dimen-:@0.404235:0.225271:0.891798:0.225271:0.891798:0.208774:0.404235:0.208774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siones. Si ejercemos sobre un cuerpo una fuerza, dependiendo de :@0.404235:0.242622:0.895897:0.242622:0.895897:0.226124:0.404235:0.226124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dónde la ejerzamos, el cuerpo tendrá un comportamiento u otro.:@0.404235:0.259973:0.880780:0.259973:0.880780:0.243475:0.404235:0.243475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces, el centro de masa es un lugar geométrico que actúa de :@0.404235:0.294674:0.895884:0.294674:0.895884:0.278177:0.404235:0.278177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma dinámica como si todas las fuerzas fueran aplicadas en ese :@0.404235:0.312025:0.895897:0.312025:0.895897:0.295527:0.404235:0.295527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto.:@0.404235:0.329376:0.452032:0.329376:0.452032:0.312878:0.404235:0.312878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando varias masas están relacionadas entre sí, formando un solo :@0.404235:0.364077:0.895934:0.364077:0.895934:0.347580:0.404235:0.347580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuerpo o formando parte de un sistema, podemos considerarlas :@0.404235:0.381428:0.895901:0.381428:0.895901:0.364930:0.404235:0.364930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como un solo elemento. Este elemento tendrá un centro de masa.:@0.404235:0.398779:0.873049:0.398779:0.873049:0.382281:0.404235:0.382281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos el centro de masa en relación con un punto de referencia, :@0.404235:0.433480:0.895959:0.433480:0.895959:0.416983:0.404235:0.416983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la masa de los elementos conformantes y con la distancia al pun-:@0.404235:0.450831:0.891798:0.450831:0.891798:0.434333:0.404235:0.434333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to de referencia. Entonces, decimos que la sumatoria de masas por la :@0.404235:0.468182:0.895824:0.468182:0.895824:0.451684:0.404235:0.451684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancia al centro de masas es igual a la sumatoria de cada masa por :@0.404235:0.485533:0.895922:0.485533:0.895922:0.469035:0.404235:0.469035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su distancia al punto de referencia.:@0.404235:0.502883:0.648711:0.502883:0.648711:0.486386:0.404235:0.486386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.433970:0.534435:0.448122:0.534435:0.448122:0.518682:0.433970:0.518682:0.000000
r:@0.466790:0.534435:0.472557:0.534435:0.472557:0.518682:0.466790:0.518682:0.000000
m:@0.539405:0.534435:0.553557:0.534435:0.553557:0.518682:0.539405:0.518682:0.000000
r:@0.572224:0.534435:0.577992:0.534435:0.577992:0.518682:0.572224:0.518682:0.000000
i:@0.447737:0.536727:0.450047:0.536727:0.450047:0.526702:0.447737:0.526702:0.000000
i:@0.411455:0.547887:0.413765:0.547887:0.413765:0.537862:0.411455:0.537862:0.000000
cm:@0.471343:0.536727:0.484489:0.536727:0.484489:0.526702:0.471343:0.526702:0.000000:0.000000
i:@0.553173:0.536727:0.555484:0.536727:0.555484:0.526702:0.553173:0.526702:0.000000
i:@0.576779:0.536727:0.579089:0.536727:0.579089:0.526702:0.576779:0.526702:0.000000
i:@0.510822:0.547885:0.513132:0.547885:0.513132:0.537861:0.510822:0.537861:0.000000
1:@0.423709:0.547815:0.428881:0.547815:0.428881:0.537773:0.423709:0.537773:0.000000
1:@0.523069:0.547815:0.528241:0.547815:0.528241:0.537773:0.523069:0.537773:0.000000
∑:@0.406957:0.541564:0.431985:0.541564:0.431985:0.511464:0.406957:0.511464:0.000000
∑:@0.506315:0.541564:0.531343:0.541564:0.531343:0.511464:0.506315:0.511464:0.000000
(:@0.531814:0.536837:0.538982:0.536837:0.538982:0.514396:0.531814:0.514396:0.000000
):@0.581126:0.536837:0.588295:0.536837:0.588295:0.514396:0.581126:0.514396:0.000000
×:@0.452188:0.535168:0.466525:0.535168:0.466525:0.516773:0.452188:0.516773:0.000000
=:@0.488933:0.535168:0.503270:0.535168:0.503270:0.516773:0.488933:0.516773:0.000000
×:@0.557631:0.535168:0.571968:0.535168:0.571968:0.516773:0.557631:0.516773:0.000000
=:@0.414390:0.548352:0.423513:0.548352:0.423513:0.536646:0.414390:0.536646:0.000000
=:@0.513750:0.548352:0.522873:0.548352:0.522873:0.536646:0.513750:0.536646:0.000000
Por lo que el centro de masas será::@0.404235:0.589303:0.647782:0.589303:0.647782:0.572805:0.404235:0.572805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.407218:0.642229:0.412986:0.642229:0.412986:0.626477:0.407218:0.626477:0.000000
m:@0.481505:0.620462:0.495657:0.620462:0.495657:0.604709:0.481505:0.604709:0.000000
r:@0.514325:0.620462:0.520092:0.620462:0.520092:0.604709:0.514325:0.604709:0.000000
m:@0.493284:0.662346:0.507436:0.662346:0.507436:0.646593:0.493284:0.646593:0.000000
cm:@0.411773:0.644521:0.424919:0.644521:0.424919:0.634497:0.411773:0.634497:0.000000:0.000000
i:@0.495272:0.622754:0.497582:0.622754:0.497582:0.612729:0.495272:0.612729:0.000000
i:@0.518878:0.622754:0.521188:0.622754:0.521188:0.612729:0.518878:0.612729:0.000000
i:@0.452083:0.633912:0.454393:0.633912:0.454393:0.623888:0.452083:0.623888:0.000000
i:@0.507046:0.664637:0.509356:0.664637:0.509356:0.654613:0.507046:0.654613:0.000000
i:@0.469931:0.675797:0.472241:0.675797:0.472241:0.665772:0.469931:0.665772:0.000000
1:@0.466061:0.633842:0.471232:0.633842:0.471232:0.623800:0.466061:0.623800:0.000000
1:@0.483909:0.675726:0.489080:0.675726:0.489080:0.665684:0.483909:0.665684:0.000000
∑:@0.448419:0.627591:0.473447:0.627591:0.473447:0.597491:0.448419:0.597491:0.000000
∑:@0.466270:0.669481:0.491298:0.669481:0.491298:0.639382:0.466270:0.639382:0.000000
(:@0.473913:0.622864:0.481081:0.622864:0.481081:0.600423:0.473913:0.600423:0.000000
):@0.523225:0.622864:0.530393:0.622864:0.530393:0.600423:0.523225:0.600423:0.000000
=:@0.429363:0.642962:0.443700:0.642962:0.443700:0.624568:0.429363:0.624568:0.000000
×:@0.499720:0.621193:0.514057:0.621193:0.514057:0.602799:0.499720:0.602799:0.000000
=:@0.456742:0.634379:0.465865:0.634379:0.465865:0.622673:0.456742:0.622673:0.000000
=:@0.474590:0.676263:0.483713:0.676263:0.483713:0.664558:0.474590:0.664558:0.000000
Centro de masas de cuerpos homogéneos:@0.404235:0.726056:0.797632:0.726056:0.797632:0.705286:0.404235:0.705286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un cuerpo es homogéneo cuando la densidad, es decir, la relación de :@0.404235:0.749029:0.895822:0.749029:0.895822:0.732531:0.404235:0.732531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su masa con su volumen, es la misma en cada una de sus partes. En :@0.404235:0.766380:0.895899:0.766380:0.895899:0.749882:0.404235:0.749882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras palabras, decimos que un cuerpo es homogéneo si todo él está :@0.404235:0.783730:0.895878:0.783730:0.895878:0.767233:0.404235:0.767233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hecho del mismo material.:@0.404235:0.801081:0.592262:0.801081:0.592262:0.784583:0.404235:0.784583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.440147:0.817832:0.454299:0.817832:0.454299:0.802079:0.440147:0.802079:0.000000
V:@0.437272:0.837360:0.447555:0.837360:0.447555:0.821607:0.437272:0.821607:0.000000
ol:@0.446219:0.839652:0.453654:0.839652:0.453654:0.829628:0.446219:0.829628:0.000000:0.000000
d:@0.406851:0.827620:0.415033:0.827620:0.415033:0.808893:0.406851:0.808893:0.000000
=:@0.418737:0.827288:0.433074:0.827288:0.433074:0.808893:0.418737:0.808893:0.000000
donde  es la densidad, m es la masa y V  el volumen.:@0.404235:0.864264:0.786680:0.864264:0.786680:0.847767:0.404235:0.847767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ :@0.455268:0.864799:0.469717:0.864799:0.469717:0.846393:0.455268:0.846393:0.000000:0.000000
ol:@0.692649:0.867541:0.700488:0.867541:0.700488:0.857923:0.692649:0.857923:0.000000:0.000000
 :@0.165267:0.379509:0.168148:0.379509:0.168148:0.368032:0.165267:0.368032:0.000000
Piedras en equilibrio.:@0.168148:0.379509:0.269854:0.379509:0.269854:0.368032:0.168148:0.368032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.164657:0.488341:0.167538:0.488341:0.167538:0.476864:0.164657:0.476864:0.000000
Las dos masas están en equilibrio :@0.167404:0.488341:0.329554:0.488341:0.329554:0.476864:0.167404:0.476864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
porque el centro de masas coincide con :@0.155007:0.500411:0.350032:0.500411:0.350032:0.488934:0.155007:0.488934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el apoyo que da la pirámide.:@0.155007:0.512481:0.290498:0.512481:0.290498:0.501004:0.155007:0.501004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 525570526:@0.141661:0.363752:0.141661:0.295579:0.130192:0.295579:0.130192:0.363752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 129772415:@0.141661:0.472225:0.141661:0.404051:0.130192:0.404051:0.130192:0.472225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.141661:0.828956:0.141661:0.782652:0.130192:0.782652:0.130192:0.828956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Física y Geometría:@0.211981:0.585723:0.340894:0.585723:0.340894:0.570251:0.211981:0.570251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todos los cuerpos geométricos :@0.153371:0.601143:0.358451:0.601143:0.358451:0.586080:0.153371:0.586080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen sus centros de masa.:@0.153371:0.616985:0.330643:0.616985:0.330643:0.601922:0.153371:0.601922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.193893:0.558685:0.353999:0.558685:0.353999:0.541003:0.193893:0.541003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
CM:@0.305620:0.730564:0.317188:0.730564:0.317188:0.722973:0.305620:0.722973:0.000000:0.000000
CM:@0.220650:0.730564:0.232219:0.730564:0.232219:0.722973:0.220650:0.722973:0.000000:0.000000
CM:@0.221808:0.656802:0.233376:0.656802:0.233376:0.649211:0.221808:0.649211:0.000000:0.000000
CM:@0.297098:0.651876:0.308666:0.651876:0.308666:0.644285:0.297098:0.644285:0.000000:0.000000
r:@0.278578:0.664585:0.281487:0.664585:0.281487:0.656995:0.278578:0.656995:0.000000
r:@0.301706:0.676301:0.304616:0.676301:0.304616:0.668711:0.301706:0.668711:0.000000
 :@0.165697:0.844222:0.168579:0.844222:0.168579:0.832746:0.165697:0.832746:0.000000
Figura 4.4. Centro de masas de cuerpos :@0.168525:0.844222:0.362983:0.844222:0.362983:0.832746:0.168525:0.832746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
homogéneos. :@0.155900:0.856292:0.226085:0.856292:0.226085:0.844816:0.155900:0.844816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga  responde: :@0.155912:0.881310:0.285865:0.881310:0.285865:0.866049:0.155912:0.866049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.205039:0.881112:0.215963:0.881112:0.215963:0.866049:0.205039:0.866049:0.000000:0.000000
¿el centro :@0.285865:0.881112:0.351386:0.881112:0.351386:0.866049:0.285865:0.866049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
masas y el centro de gravedad :@0.155912:0.896954:0.354132:0.896954:0.354132:0.881891:0.155912:0.881891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre coinciden?:@0.155912:0.912796:0.279955:0.912796:0.279955:0.897733:0.155912:0.897733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Justifica.:@0.279955:0.912994:0.339865:0.912994:0.339865:0.897733:0.279955:0.897733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000