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Colección de problemas de Cinemática del Sólido (1/2)

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Incluye ejercicios resueltos de Cinemática del Sólido.

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O




2


Y 0=-4

" °

¡¿
es °
>
×,
"
Y
;




}
) ¡2/6 coordenadas /


KI :O

condiciones geométricas

LEÍ / 6 coordenadas) -
_
a




Hay 4 coordenadas generales independientes 9.7.0.4
:


-21
>
41
Condiciones cinemáticas :



/ El disco (2) no desliza sobre 01×11 : = Ó 1
El" " '"
,
#%



"
) sea p.gr tal río
que w-zi-pio-q.jo

: +


Aíí :
411-1=4.lt ) £2 , ¥0,112

/ A lo largo del movimiento : 9=4rcosll 2 ✓

X1

) A lo
largo del movimiento : F- w / constante dada) 3




p :O

ÑZI Ñ21= Ñzotwoi " WII =
Ójot ÚÉO > como WI/ =
píotqjotrko 9- = Ó

F- té
Iai Iai Óaío -
_




7
' Isis '
-
Óalcosllíeisentejs) → VIÍ qalcosleístsenlejs)
-
-
'
IIVÍÍIKQA "
IIVÍÍH :<iéacosll


E- cosllístsentljs Ó 4%054
-

- C




¡

dio
Ñzs" ) V21
"
-
- V21
'
+ wz, ACA
> ÑÁ= -
Wai ACA = w




Jo Ko { AÓCOSY
= a


Ó Ú Óío :( Éís + ¡ ¡1) + f- AÓCOSYEI
0 = -
a :O -

Óosenlljs "



O O -
a ti AÓSENP
: lo

, 0 Y

dos
/
de COSY DE LICOSYDY D8 8=4 senil
=L, ≥ "
COSYDY •

dt dt
O

5 4
-




{ :# [ |
sen "
DE = 4a de cosa } ≥ des -
- 4a costa de → des acosar de i. Es -
-
4a
+ → 5=294+2asen 29 → 5=29/4-1 Sen 24)
dt dt a




Y u




ddl} 4a DYSENYCOSY d4 4a sentaste de
{ :/DY 4asentaos Y
:{ 4a udu 2am? 2a serie '
tizaseria
'
-
= → _
→ :


dt

O O O


U : Sent du :( OSYDY

Y

1) S
:{ IIVIÍIIDI SM)
=/ Gatos Y de SM) 4a senil
" " -
-




Yo o




2) ✗ ) = 2a / Y + sen 24 ) ; 91141=2911-0524)




3) Ñ21= /4 wcoslwt)) Ío + WÉO




4) ÑZIP " ÑZI ÑZI "
IIVI, # 11=0
EIR : + y El punto A pertenece al EIRYMD
porque
ltw 21112 yugz, , ,
"
tras = Bis -1751 :[ 2a / Y + senzp) ] Es + [2a /1- cosa 4)Jj,


HWIII/ = 16m20s≥/wt/ + uf =
w 1605/wt) -11

-




ll 4wcoslwtlsenlwtlks-14wcoslwttlyi.tw Es ]
-




EIR :[2a / Y + senzp) ] Es + [ 2a /1- cosa g)Jj,
-


+


-
W IGCOÓYWT)-11 _




5) Axoide móvil :



FAM =
/
a sin / 4sinlwtllia-cosl4sinlwtD-il-dwl-s.in/4sinlwtt)ia-l4coslwtHja- 1- senkisenlwt)/ KÍ

6) d-21 =
dw21-t-wosxwzs-xzi-l-4ufcoslwttlis-f-4ufsenlwtlly.is
dt





7) 821A Ózílwzilllwzi "
= ÍA) + ÑZIAÍA
Otra forma de obtener Jai es derivando } y Y dos

Óai Éi ¡
ji-l-8auisenecoshes-l-4autsen24-4awkosdjsveces.i.FI Éístijj
, +
=



-
-
,


¡ AÜCOSY
= -
AÓÜSENY ¡ = -

8aÚsenloSY



¡ AÜSENY AÓÍ costo Ü -4 autserihe -14 autos Y


}
= =
sinlwtkoslwt)


}
+


-82% =
Gant -

cos
>
lwt)
⑦ LÜCOSY -44.2sen 4
=
→ ⑤ -4nF serie
= 405/wt) ,




Ü:O

Document information

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Uploaded on
February 18, 2023
Number of pages
7
Written in
2022/2023
Type
Class notes
Professor(s)
José manuel hedo
Contains
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