A 141:@0.925269:0.967627:0.943044:0.966558:0.943044:0.950778:0.925269:0.951847:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.108231:0.083512:0.168340:0.083512:0.168340:0.067303:0.108231:0.067303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el centro de masa del martillo mostrado en la Figura 4.5.:@0.108231:0.100581:0.565621:0.100581:0.565621:0.084083:0.108231:0.084083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El palo que lo soporta es un cilindro homogéneo y su densidad es :@0.108231:0.117932:0.599992:0.117932:0.599992:0.101434:0.108231:0.101434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
800 kg/m . El mazo es un paralelepípedo homogéneo con densidad :@0.108231:0.135282:0.599881:0.135282:0.599881:0.118785:0.108231:0.118785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.176742:0.128931:0.181695:0.128931:0.181695:0.119313:0.176742:0.119313:0.000000
7 850 kg/m  .:@0.108236:0.152633:0.200204:0.152633:0.200204:0.136136:0.108236:0.136136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.188355:0.146281:0.193308:0.146281:0.193308:0.136663:0.188355:0.136663:0.000000
Primero, calculamos las masas del palo y del mazo con las densidades :@0.108231:0.187335:0.599933:0.187335:0.599933:0.170837:0.108231:0.170837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sus volúmenes.:@0.108231:0.204685:0.227387:0.204685:0.227387:0.188188:0.108231:0.188188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los volúmenes de ambas masas son::@0.108231:0.239387:0.367054:0.239387:0.367054:0.222889:0.108231:0.222889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.181418:0.259090:0.191921:0.259090:0.191921:0.240363:0.181418:0.240363:0.000000
p:@0.228906:0.298727:0.239409:0.298727:0.239409:0.280001:0.228906:0.280001:0.000000
=:@0.136602:0.267429:0.150938:0.267429:0.150938:0.249035:0.136602:0.249035:0.000000
⋅:@0.175078:0.258744:0.180201:0.258744:0.180201:0.240349:0.175078:0.240349:0.000000
⋅:@0.195607:0.267429:0.200730:0.267429:0.200730:0.249035:0.195607:0.249035:0.000000
=:@0.136602:0.307067:0.150938:0.307067:0.150938:0.288673:0.136602:0.288673:0.000000
⋅:@0.222566:0.298381:0.227689:0.298381:0.227689:0.279987:0.222566:0.279987:0.000000
⋅:@0.243095:0.307067:0.248218:0.307067:0.248218:0.288673:0.243095:0.288673:0.000000
=:@0.136620:0.338033:0.150957:0.338033:0.150957:0.319639:0.136620:0.319639:0.000000
V:@0.110453:0.266696:0.120735:0.266696:0.120735:0.250943:0.110453:0.250943:0.000000
D:@0.155158:0.258011:0.166288:0.258011:0.166288:0.242258:0.155158:0.242258:0.000000
L:@0.201596:0.266696:0.209096:0.266696:0.209096:0.250943:0.201596:0.250943:0.000000
V:@0.110453:0.306334:0.120735:0.306334:0.120735:0.290581:0.110453:0.290581:0.000000
m:@0.194685:0.297648:0.208838:0.297648:0.208838:0.281896:0.194685:0.281896:0.000000
m:@0.275196:0.306334:0.289348:0.306334:0.289348:0.290581:0.275196:0.290581:0.000000
V:@0.110430:0.337312:0.120712:0.337312:0.120712:0.321560:0.110430:0.321560:0.000000
m:@0.212205:0.337312:0.226358:0.337312:0.226358:0.321560:0.212205:0.321560:0.000000
4:@0.169848:0.277362:0.177975:0.277362:0.177975:0.261581:0.169848:0.261581:0.000000
(0,05):@0.155143:0.297554:0.213725:0.297554:0.213725:0.281774:0.155143:0.281774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.193565:0.317000:0.201691:0.317000:0.201691:0.301219:0.193565:0.301219:0.000000
0,8:@0.249419:0.306240:0.270795:0.306240:0.270795:0.290459:0.249419:0.290459:0.000000:0.000000:0.000000
0,00157:@0.153835:0.337206:0.207791:0.337206:0.207791:0.321425:0.153835:0.321425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ol:@0.119382:0.269000:0.126816:0.269000:0.126816:0.258975:0.119382:0.258975:0.000000:0.000000
ol:@0.119382:0.308640:0.126816:0.308640:0.126816:0.298615:0.119382:0.298615:0.000000:0.000000
ol:@0.119382:0.339602:0.126816:0.339602:0.126816:0.329578:0.119382:0.329578:0.000000:0.000000
2:@0.166500:0.250420:0.171671:0.250420:0.171671:0.240378:0.166500:0.240378:0.000000
2:@0.213981:0.290061:0.219152:0.290061:0.219152:0.280019:0.213981:0.280019:0.000000
3:@0.226235:0.329701:0.231407:0.329701:0.231407:0.319659:0.226235:0.319659:0.000000
p:@0.127287:0.270657:0.131316:0.270657:0.131316:0.263496:0.127287:0.263496:0.000000
p:@0.127287:0.310299:0.131316:0.310299:0.131316:0.303139:0.127287:0.303139:0.000000
p:@0.127287:0.341260:0.131316:0.341260:0.131316:0.334100:0.127287:0.334100:0.000000
       :@0.292508:0.347892:0.321502:0.347892:0.321502:0.331394:0.292508:0.331394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=⋅ ⋅:@0.352235:0.287399:0.399815:0.287399:0.399815:0.269005:0.352235:0.269005:0.000000:0.000000:0.000000:0.000000
=:@0.352235:0.311327:0.366572:0.311327:0.366572:0.292932:0.352235:0.292932:0.000000
⋅:@0.407721:0.311327:0.412844:0.311327:0.412844:0.292932:0.407721:0.292932:0.000000
⋅:@0.452334:0.311327:0.457457:0.311327:0.457457:0.292932:0.452334:0.292932:0.000000
=:@0.352235:0.337577:0.366572:0.337577:0.366572:0.319182:0.352235:0.319182:0.000000
V:@0.324121:0.286666:0.334404:0.286666:0.334404:0.270913:0.324121:0.270913:0.000000
L hb:@0.369085:0.286666:0.409533:0.286666:0.409533:0.270913:0.369085:0.270913:0.000000:0.000000:0.000000:0.000000
V:@0.324121:0.310594:0.334404:0.310594:0.334404:0.294841:0.324121:0.294841:0.000000
m:@0.392543:0.310594:0.406695:0.310594:0.406695:0.294841:0.392543:0.294841:0.000000
m:@0.437148:0.310594:0.451300:0.310594:0.451300:0.294841:0.437148:0.294841:0.000000
m:@0.484415:0.310594:0.498567:0.310594:0.498567:0.294841:0.484415:0.294841:0.000000
V:@0.324121:0.336840:0.334404:0.336840:0.334404:0.321087:0.324121:0.321087:0.000000
m:@0.411708:0.336840:0.425860:0.336840:0.425860:0.321087:0.411708:0.321087:0.000000
0,1:@0.369453:0.310479:0.390037:0.310479:0.390037:0.294699:0.369453:0.294699:0.000000:0.000000:0.000000
0,1:@0.414048:0.310479:0.434650:0.310479:0.434650:0.294699:0.414048:0.294699:0.000000:0.000000:0.000000
0,2:@0.458661:0.310479:0.480037:0.310479:0.480037:0.294699:0.458661:0.294699:0.000000:0.000000:0.000000
0,002:@0.369453:0.336729:0.407304:0.336729:0.407304:0.320949:0.369453:0.320949:0.000000:0.000000:0.000000:0.000000:0.000000
ol:@0.333074:0.288958:0.340508:0.288958:0.340508:0.278933:0.333074:0.278933:0.000000:0.000000
ol:@0.333074:0.312888:0.340508:0.312888:0.340508:0.302864:0.333074:0.302864:0.000000:0.000000
ol:@0.333074:0.339133:0.340508:0.339133:0.340508:0.329109:0.333074:0.329109:0.000000:0.000000
3:@0.425738:0.329241:0.430909:0.329241:0.430909:0.319199:0.425738:0.319199:0.000000
m:@0.340664:0.290614:0.347097:0.290614:0.347097:0.283453:0.340664:0.283453:0.000000
m:@0.340664:0.314540:0.347097:0.314540:0.347097:0.307380:0.340664:0.307380:0.000000
m:@0.340664:0.340786:0.347097:0.340786:0.347097:0.333626:0.340664:0.333626:0.000000
La densidad es igual a la masa sobre el volumen, por lo que calcula-:@0.108231:0.382594:0.595852:0.382594:0.595852:0.366096:0.108231:0.366096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos las masas de la siguiente manera::@0.108231:0.399944:0.374689:0.399944:0.374689:0.383447:0.108231:0.383447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.110848:0.426758:0.119030:0.426758:0.119030:0.408032:0.110848:0.408032:0.000000
d:@0.144147:0.459176:0.152329:0.459176:0.152329:0.440450:0.144147:0.440450:0.000000
=:@0.122310:0.426426:0.136647:0.426426:0.136647:0.408032:0.122310:0.408032:0.000000
=⋅:@0.127286:0.458844:0.159848:0.458844:0.159848:0.440450:0.127286:0.440450:0.000000:0.000000
m:@0.143207:0.417008:0.157360:0.417008:0.157360:0.401255:0.143207:0.401255:0.000000
V:@0.140425:0.436453:0.150707:0.436453:0.150707:0.420700:0.140425:0.420700:0.000000
m:@0.111215:0.458108:0.125367:0.458108:0.125367:0.442355:0.111215:0.442355:0.000000
V:@0.160269:0.458108:0.170552:0.458108:0.170552:0.442355:0.160269:0.442355:0.000000
ol:@0.149379:0.438750:0.156813:0.438750:0.156813:0.428726:0.149379:0.428726:0.000000:0.000000
ol:@0.169220:0.460401:0.176655:0.460401:0.176655:0.450377:0.169220:0.450377:0.000000:0.000000
         :@0.181942:0.483303:0.219220:0.483303:0.219220:0.466806:0.181942:0.466806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.262985:0.423654:0.271167:0.423654:0.271167:0.404928:0.262985:0.404928:0.000000
=:@0.246124:0.423322:0.260460:0.423322:0.260460:0.404928:0.246124:0.404928:0.000000
⋅:@0.280418:0.423322:0.285540:0.423322:0.285540:0.404928:0.280418:0.404928:0.000000
=:@0.246127:0.451297:0.260464:0.451297:0.260464:0.432903:0.246127:0.432903:0.000000
⋅:@0.307841:0.451297:0.312964:0.451297:0.312964:0.432903:0.307841:0.432903:0.000000
=:@0.246127:0.475818:0.260464:0.475818:0.260464:0.457424:0.246127:0.457424:0.000000
m:@0.222208:0.422599:0.236360:0.422599:0.236360:0.406846:0.222208:0.406846:0.000000
V:@0.285968:0.422599:0.296250:0.422599:0.296250:0.406846:0.285968:0.406846:0.000000
m:@0.222203:0.450564:0.236355:0.450564:0.236355:0.434811:0.222203:0.434811:0.000000
m:@0.372554:0.450564:0.386706:0.450564:0.386706:0.434811:0.372554:0.434811:0.000000
m:@0.222203:0.475081:0.236355:0.475081:0.236355:0.459329:0.222203:0.459329:0.000000
kg:@0.294126:0.475081:0.308887:0.475081:0.308887:0.459329:0.294126:0.459329:0.000000:0.000000
800:@0.262983:0.450449:0.287216:0.450449:0.287216:0.434669:0.262983:0.434669:0.000000:0.000000:0.000000
0,00157:@0.314175:0.450449:0.368131:0.450449:0.368131:0.434669:0.314175:0.434669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,26:@0.262191:0.474971:0.289722:0.474971:0.289722:0.459190:0.262191:0.459190:0.000000:0.000000:0.000000:0.000000
p:@0.236391:0.424881:0.242031:0.424881:0.242031:0.414857:0.236391:0.414857:0.000000
p:@0.271571:0.424881:0.277211:0.424881:0.277211:0.414857:0.271571:0.414857:0.000000
ol:@0.294918:0.424881:0.302353:0.424881:0.302353:0.414857:0.294918:0.414857:0.000000:0.000000
p:@0.236391:0.452860:0.242031:0.452860:0.242031:0.442835:0.236391:0.442835:0.000000
kg:@0.292726:0.442606:0.302119:0.442606:0.302119:0.432582:0.292726:0.432582:0.000000:0.000000
m:@0.290838:0.455729:0.299844:0.455729:0.299844:0.445704:0.290838:0.445704:0.000000
p:@0.236391:0.477380:0.242031:0.477380:0.242031:0.467355:0.236391:0.467355:0.000000
3:@0.386586:0.442967:0.391757:0.442967:0.391757:0.432925:0.386586:0.432925:0.000000
p:@0.302824:0.426538:0.306853:0.426538:0.306853:0.419378:0.302824:0.419378:0.000000
3:@0.299683:0.451087:0.303377:0.451087:0.303377:0.443914:0.299683:0.443914:0.000000
d:@0.154719:0.500765:0.162901:0.500765:0.162901:0.482039:0.154719:0.482039:0.000000
=:@0.137858:0.500433:0.152195:0.500433:0.152195:0.482039:0.137858:0.482039:0.000000
⋅:@0.174879:0.500433:0.180002:0.500433:0.180002:0.482039:0.174879:0.482039:0.000000
=:@0.137861:0.527112:0.152198:0.527112:0.152198:0.508718:0.137861:0.508718:0.000000
⋅:@0.214041:0.527112:0.219164:0.527112:0.219164:0.508718:0.214041:0.508718:0.000000
=:@0.137861:0.551633:0.152198:0.551633:0.152198:0.533239:0.137861:0.533239:0.000000
m:@0.111215:0.499700:0.125367:0.499700:0.125367:0.483948:0.111215:0.483948:0.000000
V:@0.180429:0.499700:0.190712:0.499700:0.190712:0.483948:0.180429:0.483948:0.000000
m:@0.111215:0.526379:0.125367:0.526379:0.125367:0.510626:0.111215:0.510626:0.000000
m:@0.262616:0.526379:0.276769:0.526379:0.276769:0.510626:0.262616:0.510626:0.000000
m:@0.111215:0.550896:0.125367:0.550896:0.125367:0.535144:0.111215:0.535144:0.000000
kg:@0.187395:0.550896:0.202137:0.550896:0.202137:0.535144:0.187395:0.535144:0.000000:0.000000
7 850:@0.154704:0.526265:0.193384:0.526265:0.193384:0.510484:0.154704:0.510484:0.000000:0.000000:0.000000:0.000000:0.000000
0,002:@0.220343:0.526265:0.258194:0.526265:0.258194:0.510484:0.220343:0.510484:0.000000:0.000000:0.000000:0.000000:0.000000
15,7:@0.153912:0.550786:0.182991:0.550786:0.182991:0.535005:0.153912:0.535005:0.000000:0.000000:0.000000:0.000000
m:@0.124984:0.501993:0.133990:0.501993:0.133990:0.491968:0.124984:0.491968:0.000000
m:@0.162884:0.501993:0.171890:0.501993:0.171890:0.491968:0.162884:0.491968:0.000000
ol:@0.189375:0.501993:0.196810:0.501993:0.196810:0.491968:0.189375:0.491968:0.000000:0.000000
m:@0.124984:0.528669:0.133990:0.528669:0.133990:0.518644:0.124984:0.518644:0.000000
kg:@0.198909:0.518415:0.208302:0.518415:0.208302:0.508391:0.198909:0.508391:0.000000:0.000000
m:@0.197021:0.531538:0.206027:0.531538:0.206027:0.521513:0.197021:0.521513:0.000000
m:@0.124984:0.553189:0.133990:0.553189:0.133990:0.543164:0.124984:0.543164:0.000000
3:@0.276645:0.518776:0.281816:0.518776:0.281816:0.508734:0.276645:0.508734:0.000000
m:@0.196967:0.503650:0.203400:0.503650:0.203400:0.496489:0.196967:0.496489:0.000000
3:@0.205871:0.526897:0.209565:0.526897:0.209565:0.519724:0.205871:0.519724:0.000000
A fin de calcular el centro de masa, necesitamos ponernos un sistema :@0.108231:0.592563:0.599880:0.592563:0.599880:0.576065:0.108231:0.576065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de referencia para determinar, acorde a ese sistema, la posición del :@0.108231:0.609914:0.599913:0.609914:0.599913:0.593416:0.108231:0.593416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
centro de masa (Figura 4.6.).:@0.108231:0.627264:0.306199:0.627264:0.306199:0.610767:0.108231:0.610767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El mazo es simétrico en el eje z, el centro de masa se encuentra en la :@0.108231:0.661966:0.599952:0.661966:0.599952:0.645468:0.108231:0.645468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mitad de este.:@0.108231:0.679317:0.208006:0.679317:0.208006:0.662819:0.108231:0.662819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observamos, también, que es simétrico en el eje y, por lo que solo se :@0.108231:0.714018:0.599838:0.714018:0.599838:0.697520:0.108231:0.697520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesita calcular la posición del centro de masa en el eje x.:@0.108231:0.731369:0.521178:0.731369:0.521178:0.714871:0.108231:0.714871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Usamos la ecuación con las distancias referidas al punto de origen en el :@0.108231:0.766070:0.599986:0.766070:0.599986:0.749573:0.108231:0.749573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
extremo derecho (la distancia al centro de masa del cilindro es 40 cm y :@0.108231:0.783421:0.599876:0.783421:0.599876:0.766923:0.108231:0.766923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del mazo 80 cm + 5 cm = 85 cm (Figura 4.7.).:@0.108231:0.800772:0.419511:0.800772:0.419511:0.784274:0.108231:0.784274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108231:0.818123:0.112373:0.818123:0.112373:0.801625:0.108231:0.801625:0.000000
∑:@0.151421:0.859345:0.176449:0.859345:0.176449:0.829245:0.151421:0.829245:0.000000
∑:@0.163362:0.899267:0.188390:0.899267:0.188390:0.869167:0.163362:0.869167:0.000000
=:@0.132784:0.872909:0.147120:0.872909:0.147120:0.854515:0.132784:0.854515:0.000000
×:@0.196451:0.852952:0.210788:0.852952:0.210788:0.834557:0.196451:0.834557:0.000000
=:@0.224037:0.872909:0.238374:0.872909:0.238374:0.854515:0.224037:0.854515:0.000000
⋅+:@0.265979:0.862260:0.300844:0.862260:0.300844:0.843865:0.265979:0.843865:0.000000:0.000000
⋅:@0.328964:0.862260:0.334087:0.862260:0.334087:0.843865:0.328964:0.843865:0.000000
+:@0.287871:0.883669:0.302207:0.883669:0.302207:0.865275:0.287871:0.865275:0.000000
=:@0.354413:0.872909:0.368750:0.872909:0.368750:0.854515:0.354413:0.854515:0.000000
⋅:@0.421158:0.864223:0.426281:0.864223:0.426281:0.845829:0.421158:0.845829:0.000000
+:@0.470102:0.864223:0.484438:0.864223:0.484438:0.845829:0.470102:0.845829:0.000000
⋅:@0.536165:0.864223:0.541288:0.864223:0.541288:0.845829:0.536165:0.845829:0.000000
+:@0.469733:0.883669:0.484070:0.883669:0.484070:0.865275:0.469733:0.865275:0.000000
=:@0.586583:0.872909:0.600919:0.872909:0.600919:0.854515:0.586583:0.854515:0.000000
r:@0.111242:0.872176:0.117010:0.872176:0.117010:0.856423:0.111242:0.856423:0.000000
m:@0.178208:0.852219:0.192360:0.852219:0.192360:0.836466:0.178208:0.836466:0.000000
r:@0.211304:0.852219:0.217072:0.852219:0.217072:0.836466:0.211304:0.836466:0.000000
m:@0.190149:0.892133:0.204301:0.892133:0.204301:0.876380:0.190149:0.876380:0.000000
mr:@0.242963:0.861527:0.278104:0.861527:0.278104:0.845774:0.242963:0.845774:0.000000:0.000000
mr:@0.303221:0.861527:0.341090:0.861527:0.341090:0.845774:0.303221:0.845774:0.000000:0.000000
m:@0.264486:0.882936:0.278638:0.882936:0.278638:0.867183:0.264486:0.867183:0.000000
m:@0.304585:0.882936:0.318737:0.882936:0.318737:0.867183:0.304585:0.867183:0.000000
kg:@0.404112:0.863490:0.418873:0.863490:0.418873:0.847738:0.404112:0.847738:0.000000:0.000000
cm:@0.448081:0.863490:0.468720:0.863490:0.468720:0.847738:0.448081:0.847738:0.000000:0.000000
kg:@0.519119:0.863490:0.533880:0.863490:0.533880:0.847738:0.519119:0.847738:0.000000:0.000000
cm:@0.562369:0.863490:0.583008:0.863490:0.583008:0.847738:0.562369:0.847738:0.000000:0.000000
kg:@0.452319:0.882936:0.467079:0.882936:0.467079:0.867183:0.452319:0.867183:0.000000:0.000000
kg:@0.518751:0.882936:0.533511:0.882936:0.533511:0.867183:0.518751:0.867183:0.000000:0.000000
cm:@0.631620:0.872176:0.652259:0.872176:0.652259:0.856423:0.631620:0.856423:0.000000:0.000000
1,26:@0.372159:0.863380:0.399690:0.863380:0.399690:0.847599:0.372159:0.847599:0.000000:0.000000:0.000000:0.000000
40:@0.427478:0.863380:0.443658:0.863380:0.443658:0.847599:0.427478:0.847599:0.000000:0.000000
15,7:@0.485636:0.863380:0.514715:0.863380:0.514715:0.847599:0.485636:0.847599:0.000000:0.000000:0.000000:0.000000
85:@0.542135:0.863380:0.558315:0.863380:0.558315:0.847599:0.542135:0.847599:0.000000:0.000000
1,26:@0.420365:0.882825:0.447896:0.882825:0.447896:0.867045:0.420365:0.867045:0.000000:0.000000:0.000000:0.000000
15,7:@0.485268:0.882825:0.514346:0.882825:0.514346:0.867045:0.485268:0.867045:0.000000:0.000000:0.000000:0.000000
81,7:@0.603426:0.872065:0.630975:0.872065:0.630975:0.856285:0.603426:0.856285:0.000000:0.000000:0.000000:0.000000
cm:@0.115769:0.874468:0.128915:0.874468:0.128915:0.864443:0.115769:0.864443:0.000000:0.000000
i:@0.191946:0.854507:0.194256:0.854507:0.194256:0.844483:0.191946:0.844483:0.000000
i:@0.215821:0.854507:0.218132:0.854507:0.218132:0.844483:0.215821:0.844483:0.000000
i:@0.162946:0.865667:0.165256:0.865667:0.165256:0.855642:0.162946:0.855642:0.000000
i:@0.203884:0.894429:0.206194:0.894429:0.206194:0.884404:0.203884:0.884404:0.000000
i:@0.174884:0.905589:0.177194:0.905589:0.177194:0.895564:0.174884:0.895564:0.000000
p:@0.257123:0.863819:0.262763:0.863819:0.262763:0.853794:0.257123:0.853794:0.000000
p:@0.277281:0.863819:0.282922:0.863819:0.282922:0.853794:0.277281:0.853794:0.000000
m:@0.316964:0.863819:0.325970:0.863819:0.325970:0.853794:0.316964:0.853794:0.000000
m:@0.339843:0.863819:0.348849:0.863819:0.348849:0.853794:0.339843:0.853794:0.000000
p:@0.278641:0.885232:0.284282:0.885232:0.284282:0.875207:0.278641:0.875207:0.000000
m:@0.318324:0.885232:0.327330:0.885232:0.327330:0.875207:0.318324:0.875207:0.000000
1:@0.161691:0.835734:0.166863:0.835734:0.166863:0.825692:0.161691:0.825692:0.000000
1:@0.173629:0.875656:0.178800:0.875656:0.178800:0.865614:0.173629:0.865614:0.000000
 :@0.656035:0.870297:0.659231:0.870297:0.659231:0.857216:0.656035:0.857216:0.000000
20 cm:@0.632139:0.282746:0.670067:0.282746:0.670067:0.268148:0.632139:0.268148:0.000000:0.000000:0.000000:0.000000:0.000000
10 cm:@0.706101:0.254959:0.744028:0.254959:0.744028:0.240362:0.706101:0.240362:0.000000:0.000000:0.000000:0.000000:0.000000
5 cm:@0.819816:0.323822:0.850322:0.323822:0.850322:0.309224:0.819816:0.309224:0.000000:0.000000:0.000000:0.000000
10 cm:@0.699618:0.317623:0.737545:0.317623:0.737545:0.303026:0.699618:0.303026:0.000000:0.000000:0.000000:0.000000:0.000000
80 cm:@0.742956:0.282746:0.780884:0.282746:0.780884:0.268148:0.742956:0.268148:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.841782:0.485644:0.848533:0.485644:0.848533:0.471047:0.841782:0.471047:0.000000
z:@0.700693:0.444027:0.706841:0.444027:0.706841:0.429430:0.700693:0.429430:0.000000
y:@0.636012:0.410369:0.642981:0.410369:0.642981:0.395772:0.636012:0.395772:0.000000
5 cm:@0.637507:0.625649:0.637507:0.648545:0.656956:0.648545:0.656956:0.625649:0.000000:0.000000:0.000000:0.000000
5 cm:@0.658447:0.625649:0.658447:0.648545:0.677897:0.648545:0.677897:0.625649:0.000000:0.000000:0.000000:0.000000
40 cm:@0.787975:0.638778:0.825902:0.638778:0.825902:0.624181:0.787975:0.624181:0.000000:0.000000:0.000000:0.000000:0.000000
40 cm:@0.695234:0.639432:0.733161:0.639432:0.733161:0.624835:0.695234:0.624835:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638792:0.359877:0.641673:0.359877:0.641673:0.348401:0.638792:0.348401:0.000000
Figura 4.5.:@0.641673:0.359877:0.690241:0.359877:0.690241:0.348401:0.641673:0.348401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638792:0.519366:0.641673:0.519366:0.641673:0.507889:0.638792:0.507889:0.000000
Figura 4.6.:@0.641673:0.519366:0.690241:0.519366:0.690241:0.507889:0.641673:0.507889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.638792:0.678856:0.641673:0.678856:0.641673:0.667379:0.638792:0.667379:0.000000
Figura 4.7.:@0.641673:0.678856:0.690241:0.678856:0.690241:0.667379:0.641673:0.667379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.871305:0.344121:0.871305:0.297817:0.859836:0.297817:0.859836:0.344121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.866560:0.503612:0.866560:0.457307:0.855092:0.457307:0.855092:0.503612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.871305:0.663103:0.871305:0.616799:0.859836:0.616799:0.859836:0.663103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del extremo derecho.:@0.662406:0.874541:0.806305:0.874541:0.806305:0.858760:0.662406:0.858760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objeto puntual. :@0.676493:0.117667:0.784073:0.117667:0.784073:0.102406:0.676493:0.102406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Significa :@0.784073:0.117469:0.841186:0.117469:0.841186:0.102406:0.784073:0.102406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el objeto es considerado :@0.638498:0.133311:0.828203:0.133311:0.828203:0.118248:0.638498:0.118248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como un punto; es decir, no :@0.638498:0.149153:0.824317:0.149153:0.824317:0.134090:0.638498:0.134090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene dimensiones.:@0.638498:0.164995:0.759219:0.164995:0.759219:0.149932:0.638498:0.149932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.689553:0.091567:0.757018:0.091567:0.757018:0.073884:0.689553:0.073884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000