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BÀI TẬP LỚN SỐ 2 - ĐỀ A - PHÂN TÍCH CƠ CẤU CAM

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BÀI TẬP LỚN SỐ 2 - ĐỀ A
PHÂN TÍCH CƠ CẤU CAM
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t t
e
λ
µ µ
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t t
t t
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λ
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3
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N M
t t
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ω π
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A B
P P KPa
− =
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G#5
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FE
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C B x
P g P g
P P g g
δ δ
δ δ
+ × × × = + × × ×
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x
x
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δ
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3
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x
x
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γ
=
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C A A C C A
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δ δ
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( )
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D C C D x D C x
P P h h g P P g
δ δ
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( )
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D B B D D B
P P h h g P P g
δ δ
= + − × × × ↔ = + × × ×
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δ
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3



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AB
MH MA
 
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M
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m
1 m
0
.
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m
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3
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δ
=
Bài giải:
N0=N#(*-.
G#57:S1mu

G@S-5MTj
 3

FO E
3 \_
ABE
h
V h h
π π
= × × = × ×
G@S-n5c=J7h1mMTu




3 3
  O 
FO E
 3 3 3
  O  O_
FO O_E O_ O_
 3 3 3
3O[^[  F E
nc
h
V h h h
m
π π
π π


 
= × × × − × × × ×
 ÷
 
×
 
= × × × × − × × × ×
 ÷
 
= ×
G@S-0=uXv
 
3 3
uXv
O O O_
O_ O3\  F E
3 3 3 3
h
V h m
π π

   
= × × × = × × × = ×
 ÷  ÷
   
G#5%6&#*A=%#%
x z
P P P= +
ur uur uur
u@("Pg

 
3

O  O
~ O_ O_ O3_^F E
3 3 3
IK
l h m
π π
   
= × × = × × × × =
 ÷  ÷
   

3 3 3 3
 uXv
~ 3O[^[  O3\  O3_\_  F E
nc
V V m
− − −
= − = × − × = ×

3
  FO3_^ O3_\_  E 3O_ F E
z
P P Kgf

= = × × − × =

G0N%*d:"!s%

3 3
 
O_ \O^  O^F E
\_ \_
S s
G h Kgf
π ρ π
= × × × = × × × × ≈

(%&#%6}%
3O_ O^ \ F E
S
R P G Kgf= + = + ≈

O
3
R h
=
J
C
P
S
G
D
BA
E
R
I
LK


~

~

x
O
z
,
,

x
P
=
uur r
 
~ ~
z
P
γ γ
= × − ×
3h
Oh
_h
h
T_7?g#-%•0=O(*+:S[1O#3O(@hO01<7?51z-
:•5#2_11O81#T?g##1C#C#0=€(g
EG-"C#&#7?g#(@*: 797s0#
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T>1


N<0=N#(*-.
#EG#5*0-1m(€%
 

r
z C
g
ω
= +
n90S1z0&#-:•-


O3
O3 O_ O_
z
r m
=


= − =



   



O_
O3 O3 O3^
  `O^

r
C z
g
ω ω
ω
× ×
= − = − = − ×
× ×

]*0-1m%
 

O3 O3^

r
z
g
ω
ω
= + −
Gb(a7*: 797s0#h90S1z*: (*d•0#q(5#5


z
r
=


=






 


 O3 O3^
 `O^
ω
ω
×
= + −
×




O3^ O3
ω
× =



`O_rad s
ω

7EG#5
 
 


 
`O_ O_
O3 O
  `O^
r
z z
g
ω
× ×
= − = − =
× ×

 


p r gz C
ρω ρ
= − +

P
xx
0
n90S1z&#:•-#5

O_
O3
p
r m
z m

=


=


=



   
 
`^ `O^ O3 `^ `O_ O_ \O`
 
C gz r
ρ ρω
= − = × × − × × × =
‚!J1z-:•%

   
 
`^ `_ `^ `O^ O3 \O`
 
p r gz C r
ρω ρ
= − + = × × × − × × +



O_ \[3O`p r= × −


 dF p r ds
π
= ×



3 3

_ _
   FO_ \[3O`E    _O_3F EF p r ds r r ds N
π π
= × = × − × =
∫ ∫
H3`>*: z(*d@("b7fj%b0*!#

3
x
u t=

y
u xz=


z
u ty=

I(9#"&#'ƒ%*
TL
G#5

  
x y z
u u u u
a u u u
dt x y z
∂ ∂ ∂ ∂
= + + +
∂ ∂ ∂
r
r uur uur uur
FE
b(a7-#5

3u ti xz j ty k= + +
r r r r


3

u
i y k
t
u
z j
x
u
tyk
y
u
x j

z

= +


=


=


=

r
r r
r
r
r
FE
GfFEFE#5
( ) ( )
 
3 3 a i tz txy j xyzt y k= + + + +
r r r r
H3>*: z(*dO@(„(9"5'
x
u

y
u

*
!#
3 
3


x
y
u x z
u y yz
= +
= +
I(9'"
z
u

TL
i"%*: z(*d#5
( )
 
 
  
F E 
3 3  
3 
3F E
y
x
z
z

z
z
u
u
u
div u
x y z
u
x y z
z
u
x y z
z
u x y z z



= + + =
∂ ∂ ∂

⇔ + + + =


⇔ = − + −

⇒ = − + −
r
T`CL&% (*d50*UO@("2_
$L&% 9A=&#!k&#*!(:CL&% @(
TL

‚!7A=%CL&% %
 
_
  `O^ ^ O
  `O^
v
p h Pa at
g
γ
   
= + = + × × = ≈
 ÷  ÷
×
   
v
r
h m=
v
r
m
80 mm
H
h
`*L0#:p%|*-.i*+:S#*0#:p%|%^11GJH1&#
#**+#(m1"( *2_\_1
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: :S/2[1
4L
- f*0-Tb0%%1m s FtEO  FtE #5
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