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7a-equilibrio [modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru...

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Page 1: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 2: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 3: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 4: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 5: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 6: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 7: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Momento de torsión gravitacional

gmrwr iiiii

...2211

gmrgmri

grmrm ...)( 2211

grmi

ii )(

Page 8: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

gMm

rmgM

mm

rmrm

ii

iii

...

...

21

2211

wrgMr cmcm

Page 9: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Localización y uso del centro de gravedad

Page 10: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 11: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Problema

Page 12: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Solución

Page 13: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 14: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

EQUILIBRIO DE CUERPOS SUSPENDIDOS

Page 15: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 16: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Cuerpos suspendidos Para que un cuerpo suspendido esté en equilibrio, el eje vertical que pasa por el centro de gravedad G, debe pasar por el punto de suspensión O. Si el centro de gravedad está por debajo del punto de suspensión O, entonces el equilibrio es estable. Si en cambio, está por encima, el equilibrio es inestable. En el caso en que G y O coincidan, el equilibrio es indiferente. R es la fuerza de reacción R (igual y contraria a P) que mantiene al cuerpo suspendido.

Page 17: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 18: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 19: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 20: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 21: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 22: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 23: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 24: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 25: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 26: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 27: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 28: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 29: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 30: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 31: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Esquema del problema

Diagrama de cuerpo libre

Page 32: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Solución

Page 33: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 34: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Diagrama de cuerpo libreEsquema del problema Diagrama de cuerpo libre

Page 35: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 36: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 37: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Diagrama de cuerpo libreEsquema del problema

Page 38: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 39: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 40: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 41: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh
Page 42: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Problema para resolver

Page 43: 7a-Equilibrio [Modo de compatibilidad] · 2019-10-21 · sru ho fhqwur gh judyhgdg * gheh sdvdu sru ho sxqwr gh vxvshqvlyq 2 6l ho fhqwur gh judyhgdg hvwi sru ghedmr gho sxqwr gh

Diagrama de cuerpo libre


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