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Colección de problemas de Estática del Sólido (1/3)

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Incluye problemas resueltos de Estática del Sólido.

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  • February 18, 2023
  • 9
  • 2022/2023
  • Class notes
  • José manuel hedo
  • All classes
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y
Dls :?)
ds . M
^

8
A s <
• M
1
[
2
<
a 12/2
1-

R
B Is -
-
-


)

M 6m
>
Os °
×

, t coordenadas
generalizadas X, B

:
, O




) Incógnitas de contacto :



a) Del exterior sobre el aro (1) i
Resultante : IÉ" = Xí +
Yj
sistema de fuerzas de contacto del exterior sobre 111 :
Momento : Ñ% = j
b) Entre 111 121 :
y
Fuerza de contacto de (1) sobre 121 :
✗ y
a




Frñp
C
EH = Nír +
FRÚP
P •


1 T

Núr
¡
Fuerza de contacto de (2) sobre 111 :


Es < p
'
Nar
t
ÉRUP
-




Tir
-




9s X


¡2/1 = -
Núr -


ÉRUP

Incógnitas de contacto : X Y N FR. , ,





| Fuerzas directamente aplicadas : Atracción del eje Ox proporcional 1kt a la masa Y a la distancia al eje Ox .




a) Sobre el aro 111 :




"
"
E = -
km
y j
= -
km
Rsenxj

b) Sobre las masas del disco (2) :




""
[ / Otfbl ] dsj
ÉAT Kdm Yj kdm
3212 senfs + ssen
= -
= -




-




dm = tds


dm = 6m
ds
R .




y =
OM.j-loi-CMI.gs/R+PzlsenB-ssen/O- A)

Momento respecto al punto G
'
de EHF :




dm
6,1 [ 3¥ senptssen / ABI !
"m
Ñ = CMAÉAT =/ scos / 8-psli ssenlotpslj ] a F- Atdm
+ = -
K s costo + Btdsk



Resultante del sistema de fuerzas de atracción sobre las masas del disco :


EAT =/ EAÍM = -
K / / Ydm / Í '
ÉAT = -
K 6m
3¥ senpsj
MIA KMRZsentamos lo B) !
E s +
-




z
YC
'
312
senp 6m Y → =
a
2


Momento resultante del sistema de fuerzas de atracción sobre las masas del disco :

12/2 12/2
"
MIA? / dmpjí ≥
"'
pj , = /sds
-1<6,11%2 senp costo AlRt + + sen /HA/ costo-11/ Ids / Í
-
-
12/2

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