﻿100:@0.054582:0.966559:0.078778:0.966559:0.078778:0.950779:0.054582:0.950779:0.000000:0.000000:0.000000
Ejercicio 1:@0.508790:0.083512:0.583567:0.083512:0.583567:0.067303:0.508790:0.067303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinar el trabajo realizado por el peso cuando ele-:@0.508790:0.100581:0.891764:0.100581:0.891764:0.084083:0.508790:0.084083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vamos un cuerpo de 6 kg a 3 m, en los siguientes casos::@0.508790:0.117932:0.891729:0.117932:0.891729:0.101434:0.508790:0.101434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.508790:0.142873:0.519559:0.142873:0.519559:0.125927:0.508790:0.125927:0.000000:0.000000
verticalmente,:@0.524857:0.142411:0.625595:0.142411:0.625595:0.125913:0.524857:0.125913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.508790:0.160224:0.519559:0.160224:0.519559:0.143278:0.508790:0.143278:0.000000:0.000000
por una rampa con 45o de pendiente. :@0.524857:0.159761:0.796031:0.159761:0.796031:0.143264:0.524857:0.143264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos:@0.508790:0.194745:0.551671:0.194745:0.551671:0.178535:0.508790:0.178535:0.000000:0.000000:0.000000:0.000000:0.000000
Masa del cuerpo: m = 6 kg:@0.508790:0.211814:0.697876:0.211814:0.697876:0.195317:0.508790:0.195317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Altura de elevación: h = 3 m:@0.404237:0.229165:0.604941:0.229165:0.604941:0.212667:0.404237:0.212667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos conocer el valor de la gravedad: g = 9,8 m/s:@0.404237:0.263867:0.783410:0.263867:0.783410:0.247369:0.404237:0.247369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.783405:0.257514:0.788358:0.257514:0.788358:0.247895:0.783405:0.247895:0.000000
• :@0.404235:0.299030:0.415004:0.299030:0.415004:0.282084:0.404235:0.282084:0.000000:0.000000
El peso forma un ángulo de 180o (π rad) con el desplazamiento.:@0.423230:0.298567:0.874706:0.298567:0.874706:0.282069:0.423230:0.282069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.404235:0.316380:0.410977:0.316380:0.410977:0.299434:0.404235:0.299434:0.000000
  El valor del desplazamiento es la altura.:@0.410977:0.315918:0.699085:0.315918:0.699085:0.299420:0.410977:0.299420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–6   9,8   3 = –176,4 J:@0.572420:0.367970:0.723575:0.367970:0.723575:0.351472:0.572420:0.351472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.595558:0.368505:0.601973:0.368505:0.601973:0.350099:0.595558:0.350099:0.000000
⋅:@0.630004:0.368505:0.636419:0.368505:0.636419:0.350099:0.630004:0.350099:0.000000
Para cuando está en la rampa, a 45 grados de pendiente::@0.404235:0.402671:0.802482:0.402671:0.802482:0.386174:0.404235:0.386174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.404574:0.435960:0.416730:0.435960:0.422153:0.419679:0.409997:0.419679:0.000000
=:@0.423813:0.435295:0.438801:0.435295:0.438801:0.417900:0.423813:0.417900:0.000000
45:@0.443656:0.435266:0.460032:0.435266:0.460032:0.418826:0.443656:0.418826:0.000000:0.000000
°+ ° =:@0.459685:0.435295:0.528655:0.435295:0.528655:0.417900:0.459685:0.417900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
90:@0.486271:0.435266:0.502646:0.435266:0.502646:0.418826:0.486271:0.418826:0.000000:0.000000
π:@0.533567:0.426962:0.544144:0.426962:0.549567:0.410682:0.538990:0.410682:0.000000
4:@0.537207:0.446463:0.545568:0.446463:0.545568:0.430023:0.537207:0.430023:0.000000
+:@0.551602:0.435295:0.566590:0.435295:0.566590:0.417900:0.551602:0.417900:0.000000
π:@0.569218:0.426962:0.579794:0.426962:0.585218:0.410682:0.574641:0.410682:0.000000
2:@0.572648:0.446463:0.581009:0.446463:0.581009:0.430023:0.572648:0.430023:0.000000
=:@0.589558:0.435295:0.604546:0.435295:0.604546:0.417900:0.589558:0.417900:0.000000
3:@0.610499:0.426272:0.618860:0.426272:0.618860:0.409832:0.610499:0.409832:0.000000
π:@0.617800:0.426962:0.628376:0.426962:0.633799:0.410682:0.623223:0.410682:0.000000
4:@0.617251:0.446463:0.625612:0.446463:0.625612:0.430023:0.617251:0.430023:0.000000
rad:@0.635103:0.435439:0.659088:0.435439:0.659088:0.418970:0.635103:0.418970:0.000000:0.000000:0.000000
Δ:@0.406799:0.474648:0.422847:0.474648:0.422847:0.457254:0.406799:0.457254:0.000000
r:@0.422443:0.474793:0.428473:0.474793:0.428473:0.458324:0.422443:0.458324:0.000000
=:@0.433809:0.474648:0.448798:0.474648:0.448798:0.457254:0.433809:0.457254:0.000000
Δ:@0.472395:0.465651:0.488443:0.465651:0.488443:0.448257:0.472395:0.448257:0.000000
h:@0.488048:0.465795:0.497450:0.465795:0.497450:0.449327:0.488048:0.449327:0.000000
sen:@0.458630:0.493557:0.481614:0.493557:0.481614:0.477117:0.458630:0.477117:0.000000:0.000000:0.000000
π:@0.488545:0.485450:0.499122:0.485450:0.504545:0.469169:0.493968:0.469169:0.000000
4:@0.492185:0.504598:0.500546:0.504598:0.500546:0.488158:0.492185:0.488158:0.000000
⎛ ⎞:@0.480562:0.483370:0.512080:0.483370:0.512080:0.465976:0.480562:0.465976:0.000000:0.000000:0.000000
⎝ ⎠:@0.480562:0.503801:0.512080:0.503801:0.512080:0.486406:0.480562:0.486406:0.000000:0.000000:0.000000
⎜ ⎟:@0.480562:0.491149:0.512080:0.489934:0.512080:0.472540:0.480562:0.473755:0.000000:0.000000:0.000000
⎜ ⎟:@0.480562:0.497164:0.512080:0.495038:0.512080:0.477644:0.480562:0.479770:0.000000:0.000000:0.000000
⎜ ⎟:@0.480562:0.500735:0.512080:0.500142:0.512080:0.482748:0.480562:0.483341:0.000000:0.000000:0.000000
=:@0.520558:0.474648:0.535546:0.474648:0.535546:0.457254:0.520558:0.457254:0.000000
3:@0.554369:0.465626:0.562730:0.465626:0.562730:0.449186:0.554369:0.449186:0.000000
2:@0.559917:0.486765:0.568278:0.486765:0.568278:0.470325:0.559917:0.470325:0.000000
2:@0.554168:0.506601:0.562530:0.506601:0.562530:0.490161:0.554168:0.490161:0.000000
=:@0.581337:0.474648:0.596326:0.474648:0.596326:0.457254:0.581337:0.457254:0.000000
4,24 :@0.601181:0.474619:0.635954:0.474619:0.635954:0.458179:0.601181:0.458179:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.635743:0.474793:0.650538:0.474793:0.650538:0.458324:0.635743:0.458324:0.000000
T:@0.406380:0.538035:0.416187:0.538035:0.416187:0.521566:0.406380:0.521566:0.000000
=:@0.422197:0.537890:0.437186:0.537890:0.437186:0.520496:0.422197:0.520496:0.000000
P r:@0.441617:0.538035:0.471681:0.538035:0.471681:0.521566:0.441617:0.521566:0.000000:0.000000:0.000000
! !:@0.442241:0.525910:0.472913:0.525910:0.472913:0.508400:0.442241:0.508400:0.000000:0.000000:0.000000
Δ:@0.449257:0.537890:0.465305:0.537890:0.465305:0.520496:0.449257:0.520496:0.000000
=:@0.477002:0.537890:0.491990:0.537890:0.491990:0.520496:0.477002:0.520496:0.000000
m g hcos:@0.496845:0.538035:0.574966:0.538035:0.574966:0.521566:0.496845:0.521566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.525782:0.537890:0.541829:0.537890:0.541829:0.520496:0.525782:0.520496:0.000000
3:@0.583500:0.528868:0.591861:0.528868:0.591861:0.512428:0.583500:0.512428:0.000000
π:@0.590840:0.529558:0.601417:0.529558:0.606840:0.513277:0.596263:0.513277:0.000000
4:@0.590290:0.549059:0.598651:0.549059:0.598651:0.532619:0.590290:0.532619:0.000000
⎛:@0.574533:0.527479:0.582027:0.527479:0.582027:0.510084:0.574533:0.510084:0.000000
⎝:@0.574533:0.548302:0.582027:0.548302:0.582027:0.530908:0.574533:0.530908:0.000000
⎜:@0.574533:0.535260:0.582027:0.535260:0.582027:0.517866:0.574533:0.517866:0.000000
⎜:@0.574533:0.541275:0.582027:0.541275:0.582027:0.523881:0.574533:0.523881:0.000000
⎜:@0.574533:0.545237:0.582027:0.545237:0.582027:0.527843:0.574533:0.527843:0.000000
⎞:@0.606885:0.527479:0.614379:0.527479:0.614379:0.510084:0.606885:0.510084:0.000000
⎠:@0.606885:0.548302:0.614379:0.548302:0.614379:0.530908:0.606885:0.530908:0.000000
⎟:@0.606885:0.534046:0.614379:0.534046:0.614379:0.516651:0.606885:0.516651:0.000000
⎟:@0.606885:0.539150:0.614379:0.539150:0.614379:0.521755:0.606885:0.521755:0.000000
⎟:@0.606885:0.544254:0.614379:0.544254:0.614379:0.526859:0.606885:0.526859:0.000000
6 (9,8) (4,24) (–707) = –176,4 J :@0.540437:0.579691:0.759714:0.579691:0.759714:0.563193:0.540437:0.563193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se puede observar cómo ambos valores son prácticamente iguales. :@0.404231:0.614392:0.895942:0.614392:0.895942:0.597894:0.404231:0.597894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891758:0.614392:0.895900:0.614392:0.895900:0.597894:0.891758:0.597894:0.000000
Podemos concluir que el trabajo realizado por el peso no depende del :@0.404231:0.631743:0.895813:0.631743:0.895813:0.615245:0.404231:0.615245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
camino seguido, sino únicamente de los puntos inicial y final.:@0.404231:0.649094:0.825732:0.649094:0.825732:0.632596:0.404231:0.632596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.404235:0.683323:0.477169:0.683323:0.477169:0.667114:0.404235:0.667114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se deja caer sobre un muelle un cuerpo de 2 kg, desde una altura de :@0.404235:0.700391:0.895965:0.700391:0.895965:0.683894:0.404235:0.683894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 m. Calcular cuánto se comprime el muelle si su constante elástica :@0.404235:0.717742:0.895921:0.717742:0.895921:0.701245:0.404235:0.701245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es 3 000 N/m.:@0.404235:0.735093:0.501543:0.735093:0.501543:0.718595:0.404235:0.718595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La energía potencial gravitatoria se transforma en energía potencial :@0.404235:0.769794:0.895868:0.769794:0.895868:0.753297:0.404235:0.753297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elástica::@0.404235:0.787145:0.458755:0.787145:0.458755:0.770648:0.404235:0.770648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Em  = Em        Epg  = Epx:@0.404235:0.821962:0.580409:0.821962:0.580409:0.805494:0.404235:0.805494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.426929:0.825192:0.431635:0.825192:0.431635:0.815591:0.426929:0.815591:0.000000
2:@0.473497:0.825192:0.478203:0.825192:0.478203:0.815591:0.473497:0.815591:0.000000
1:@0.531894:0.825192:0.536601:0.825192:0.536601:0.815591:0.531894:0.815591:0.000000
2:@0.580408:0.825192:0.585114:0.825192:0.585114:0.815591:0.580408:0.815591:0.000000
mgh:@0.407009:0.865747:0.437248:0.865747:0.437248:0.849995:0.407009:0.849995:0.000000:0.000000:0.000000
kx:@0.469147:0.865747:0.484036:0.865747:0.484036:0.849995:0.469147:0.849995:0.000000:0.000000
x:@0.546819:0.902647:0.553969:0.902647:0.553969:0.886894:0.546819:0.886894:0.000000
x:@0.407820:0.930777:0.414969:0.930777:0.414969:0.915025:0.407820:0.915025:0.000000
m:@0.469589:0.930777:0.483741:0.930777:0.483741:0.915025:0.469589:0.915025:0.000000
=:@0.439239:0.866480:0.453575:0.866480:0.453575:0.848086:0.439239:0.848086:0.000000
=:@0.468188:0.903380:0.482525:0.903380:0.482525:0.884985:0.468188:0.884985:0.000000
=:@0.418265:0.931507:0.432601:0.931507:0.432601:0.913113:0.418265:0.913113:0.000000
1:@0.458313:0.856876:0.466440:0.856876:0.466440:0.841095:0.458313:0.841095:0.000000
2:@0.457742:0.876487:0.465868:0.876487:0.465868:0.860707:0.457742:0.860707:0.000000
29 85):@0.406752:0.902543:0.466051:0.902531:0.466051:0.886750:0.406752:0.886763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.487281:0.893775:0.495408:0.893775:0.495408:0.877995:0.487281:0.877995:0.000000
2:@0.486710:0.913386:0.494836:0.913386:0.494836:0.897606:0.486710:0.897606:0.000000
3 000) :@0.502724:0.902543:0.515308:0.902531:0.515308:0.886750:0.502724:0.886763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
026 :@0.435352:0.930674:0.469552:0.930662:0.469552:0.914881:0.435352:0.914894:0.000000:0.000000:0.000000:0.000000
2:@0.485011:0.858147:0.490183:0.858147:0.490183:0.848105:0.485011:0.848105:0.000000
2:@0.554949:0.895041:0.560121:0.895041:0.560121:0.884999:0.554949:0.884999:0.000000
(, )(:@0.414232:0.902531:0.453078:0.902531:0.453078:0.886750:0.414232:0.886750:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.497525:0.902531:0.503219:0.902531:0.503219:0.886750:0.497525:0.886750:0.000000
,:@0.444546:0.930662:0.447181:0.930662:0.447181:0.914881:0.444546:0.914881:0.000000
T:@0.558883:0.345163:0.568262:0.345163:0.568262:0.329410:0.558883:0.329410:0.000000
=:@0.572187:0.345025:0.586524:0.345025:0.586524:0.328387:0.572187:0.328387:0.000000
P r:@0.588938:0.345163:0.617682:0.345163:0.617682:0.329410:0.588938:0.329410:0.000000:0.000000:0.000000
=:@0.620972:0.345025:0.635309:0.345025:0.635309:0.328387:0.620972:0.328387:0.000000
mg h:@0.638091:0.345163:0.682996:0.345163:0.682996:0.329410:0.638091:0.329410:0.000000:0.000000:0.000000:0.000000
cos( ):@0.683733:0.345052:0.727651:0.345052:0.727651:0.329272:0.683733:0.329272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3m:@0.402894:0.139877:0.423332:0.139877:0.423332:0.125280:0.402894:0.125280:0.000000:0.000000
Archivo editorial:@0.141661:0.199603:0.141661:0.153299:0.130192:0.153299:0.130192:0.199603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Figura 3.13. :@0.153632:0.217000:0.213874:0.217000:0.213874:0.205523:0.153632:0.205523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema de medida de :@0.195141:0.284056:0.355156:0.284056:0.355156:0.268993:0.195141:0.268993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ángulos se denomina sexa-:@0.152397:0.299898:0.348611:0.299898:0.348611:0.284835:0.152397:0.284835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gesimal y su unidad de medida :@0.152397:0.315740:0.356651:0.315740:0.356651:0.300677:0.152397:0.300677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el grado. El sistema circular :@0.152397:0.331582:0.345041:0.331582:0.345041:0.316519:0.152397:0.316519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene como unidad de medida :@0.152397:0.347424:0.353800:0.347424:0.353800:0.332361:0.152397:0.332361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al radián; recuerda que  :@0.152397:0.363266:0.306255:0.363266:0.306255:0.348203:0.152397:0.348203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
360 º = 2 π rad.:@0.152397:0.379108:0.251587:0.379108:0.251587:0.364045:0.152397:0.364045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Radián:@0.237640:0.471344:0.272066:0.471344:0.272066:0.459724:0.237640:0.459724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.194627:0.245662:0.296898:0.245662:0.296898:0.229452:0.194627:0.229452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.194627:0.258233:0.282693:0.258233:0.282693:0.242024:0.194627:0.242024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 1873650520:@0.137154:0.479685:0.137154:0.408185:0.125686:0.408185:0.125686:0.479685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Física e Ingeniería:@0.215318:0.540990:0.337514:0.540990:0.337514:0.525517:0.215318:0.525517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Muelles y resortes :@0.153348:0.556607:0.276601:0.556607:0.276601:0.541346:0.153348:0.541346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Son los elementos clásicos :@0.153348:0.572251:0.327524:0.572251:0.327524:0.557188:0.153348:0.557188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleados en construcción y :@0.153348:0.588093:0.347452:0.588093:0.347452:0.573030:0.153348:0.573030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diseño; sirven para acumular  :@0.153348:0.603935:0.345572:0.603935:0.345572:0.588872:0.153348:0.588872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y transformar energías, aprove-:@0.153348:0.619777:0.352414:0.619777:0.352414:0.604714:0.153348:0.604714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
chando las características elásti-:@0.153348:0.635619:0.358518:0.635619:0.358518:0.620556:0.153348:0.620556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cas del material. Sin muelles  :@0.153348:0.651461:0.340205:0.651461:0.340205:0.636398:0.153348:0.636398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y resortes, no importa qué  :@0.153348:0.667303:0.332358:0.667303:0.332358:0.652240:0.153348:0.652240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diseño, ningún sistema mecáni-:@0.153348:0.683145:0.356828:0.683145:0.356828:0.668082:0.153348:0.668082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
co o mecatrónico funcionaría.:@0.153348:0.698987:0.347753:0.698987:0.347753:0.683924:0.153348:0.683924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones principales de :@0.153344:0.801312:0.338563:0.801312:0.338563:0.786249:0.153344:0.786249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muelles y resortes técnicos son::@0.153344:0.817154:0.356400:0.817154:0.356400:0.802091:0.153344:0.802091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Absorción de golpes y vibra-:@0.153344:0.840125:0.350067:0.840125:0.350067:0.825062:0.153344:0.825062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones.:@0.167592:0.855967:0.211180:0.855967:0.211180:0.840904:0.167592:0.840904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Distribución y compensación :@0.153344:0.871809:0.359516:0.871809:0.359516:0.856746:0.153344:0.856746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de fuerzas.:@0.167592:0.887651:0.235313:0.887651:0.235313:0.872588:0.167592:0.872588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Retención de tensiones previas.:@0.153344:0.903493:0.361511:0.903493:0.361511:0.888430:0.153344:0.888430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Mantenimiento de posiciones :@0.153344:0.919335:0.364071:0.919335:0.364071:0.904272:0.153344:0.904272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinadas.:@0.167592:0.935177:0.258110:0.935177:0.258110:0.920114:0.167592:0.920114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.193871:0.513951:0.353978:0.513951:0.353978:0.496268:0.193871:0.496268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 1954272058:@0.136213:0.786596:0.136213:0.715096:0.124744:0.715096:0.124744:0.786596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000