Class notes
Colección de problemas de Cinemática del Sólido (1/2)
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Incluye ejercicios resueltos de Cinemática del Sólido.
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O2
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
1°
¡
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
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