江苏大学大学2019年《801理论力学》考研专业课考试大纲
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B
M
vr
30
ve
va
aBnA
aAn B aBt A
a Bn
a Bt
7
aBn + aBt = aAn + aBnA + aBt A
aBn
BC 2r
02r 2
aBt 2r BC
aAn
02r
aBt A r AB
aBnA
r
2 AB
0
aBt 2r BC 0
BC 0
aBn
aAn aBt A
02r 2
2 0
r
r AB
FN
2 mg 5
A
M
O
Fx
F
G
E
9
C
D
WF 0 M F xE 0
xE r cos GE r cos (EF FG) r cos EF r sin ctg r(cos sin ) EF xE r(sin cos ) M Fr(sin cos ) 0
M Fr(sin cos ) 1 3 Fr 2
Tmax
FAy
4000 N 3
FAy
7000 N 3
6
AB
MA(Fi ) 0 Wa FNB sin 30 l FsB sin 60 l 0
X0 FsA FNB cos30 l FsB cos 60 0
Y0 FNA W FNB sin 30 FsB sin 60 0
FsA 0.25FNA FsB 0.25FNB
AB 0.8(m)
CA
A
B
AB
AB
B
v0 3(m s) AB
A
AB 2
7 20
BD
AB l
M
45
A
C B
D B C A
8 10
300
OA r
450
OA
M
4
F
9 10
m
A
M
O
F
C
D
m
l
k2 k2
b
O
10 15
AB
M
AB//OD AB OD L ,OA BD r
m1
DB
m2 OA
BD
600 OA O OD
3gl(1 sin ) v02 5 3gl(1 sin ) 9
l
4
AB
AB
mac mg FN
1
1 ml2 12
FN
l 2
cos
2
A
aC = aA + aCnA + aCt A
B C
A
FN
aA
45
a CnA
mg
C
aCt A
aC aCnA sin 45 aCt A sin 45
aC 0
2l 22
2l 4
1 m( 2
maxl )2
Vmax
21 k 22
b2 max
1 kb2 2
2 max
Tmax Vmax
max
0 max
bk 0 lm
A
FItC m1r
FICn m1 2r
FItD
1 2
m2r
FIDn
1 2
m2
2r
O
M ID JD
1 3
m2r
2
FO
MD(Fi ) 0
FItC
FInC
B
m1g MID
M
FDx D
FDy m2g
y FInD
FItD
x
10
FOLsin 60 X0
m1g
(
L 2
r cos 60 )
m2
g
r 2
cos
60
FItC (r
L cos 60 ) 2
FICn
L sin 60 2
M ID M 0
FDx FItD FItC m1g cos60 m2g cos60 0 Y0
FDy FIDn FICn m1g sin 60 m2g sin 60 FO 0
3
2 0
AB
2
1
A
A
vB v0 1 lAB l
AB
T1
1 2
J
P
2 1
1 1 ml2 m l 2
Leabharlann Baidu
2 12
2
2 1
1 1 ml2 23
2 1
1 ml2 6
2 1
G 6g
v02
AB
vA 2l
AB
T2
1 2
J
P
2 2
1 1 ml2 23
B
2 2
1 6
mvA2
G 6g
vA2
W12
Gl 2
T2 T1 W12
G 6g
I
1 2 3
II
150
180
III
1
(20 40 )
(1)
(2)
(3)
)
(4)
(5)
2
(20 40 )
(1)
(
1
(2)
(3)
(4)
3
(40 60 )
(1)
(2)
(3)
(4)
(5)
(6)
(
)
(7)
(8)
IV.
1 10 F
z
A
F xy
x
z
A
0
2m
3m F
y
4m
1m
3m
B
600
300
A 400 E
B
C
P
(vA2
v02 )
Gl 2
P C
B
8
vA 3gl v02 5.7m / s
2 AB
P
AB
T2
1 2
J
P
2 2
1 1 ml2 23
2 1 ml 2 2 6
W12
mg l (sin 90 2
sin ) mg l (1 sin ) 2
T2 T1 W12
1 ml2 2 6
1 6
mv02
mg l (1 sin ) 2
A B
M
O
D
5
M x (F) My (F) Mz (F)
28
Fz 3 Fy 2
2F
F 3
F 3
Fx 2 Fz 1
4F 2F 33
2F
Fx 3 Fy 1 2F
1F 3
5F 3
600
300
1
FAx
MD(Fi ) 0 FAx 400 P 900 0 FAx 2250N
X0 FAx FDx 0
FDx 2250N
FO
6 3m1g(L r) 3 3m2gr 3 3m1r (4r L) 9m1 2rL 4 3m2r2 12 3M 18L
FDx
(2m1 m2)r (m1 m2 )g 2
6 3m1g(L r) 3 3m2gr 3 3m1r (4r L) 9m1 2rL 4 3m2r2 12 3M
FDy
(2m1 m2 ) 2r 3(m1 m2 )g
a 4 3 3l 51
va = ve + vr
ve
OM 2 0.5 1m / s
vM va ve cos30
3 m/ s 2
vr ve sin 30
1m/s 2
ac
2 vr
2 0.5 1 2
0.5m / s2
AB
vB vA
A
0r 2r BC
AB 0
0
BC 2
l a
A
W
B
W
A
FNA FsA
600
FNB FsB
18L
2
11
A FAy
400
E
FDx
FDy
D 300
300
FDx D FDy
FEB
E
B
C
P
F
300
P
FFC
F
Y0
FAy FDy 1000 0
(1)
2
DF
FAx A FAy
B
C
FBE
FCF
MF (Fi ) 0
P 300
FDy
900
FEB
4 5
600
0
3
AC
MC (Fi ) 0
4
FAy
900
FBE
300 5
0
FEB FBE
2
F
D 300
300
300
2 20 AD
P 1000N ABC DEF
3 10
l AB
A
B
AB
l a
A
W
B
0.25
W
600
a,
4 15
M
OAB O
CD
OA
O
AB OA 1(m) 0.5(rad s)
OA CD AM 3OA M
MA
D
M
B
5 20
0
C
r
2r
AB
0O
A
r
3
C
B
BC
6 20
120( N )
M
vr
30
ve
va
aBnA
aAn B aBt A
a Bn
a Bt
7
aBn + aBt = aAn + aBnA + aBt A
aBn
BC 2r
02r 2
aBt 2r BC
aAn
02r
aBt A r AB
aBnA
r
2 AB
0
aBt 2r BC 0
BC 0
aBn
aAn aBt A
02r 2
2 0
r
r AB
FN
2 mg 5
A
M
O
Fx
F
G
E
9
C
D
WF 0 M F xE 0
xE r cos GE r cos (EF FG) r cos EF r sin ctg r(cos sin ) EF xE r(sin cos ) M Fr(sin cos ) 0
M Fr(sin cos ) 1 3 Fr 2
Tmax
FAy
4000 N 3
FAy
7000 N 3
6
AB
MA(Fi ) 0 Wa FNB sin 30 l FsB sin 60 l 0
X0 FsA FNB cos30 l FsB cos 60 0
Y0 FNA W FNB sin 30 FsB sin 60 0
FsA 0.25FNA FsB 0.25FNB
AB 0.8(m)
CA
A
B
AB
AB
B
v0 3(m s) AB
A
AB 2
7 20
BD
AB l
M
45
A
C B
D B C A
8 10
300
OA r
450
OA
M
4
F
9 10
m
A
M
O
F
C
D
m
l
k2 k2
b
O
10 15
AB
M
AB//OD AB OD L ,OA BD r
m1
DB
m2 OA
BD
600 OA O OD
3gl(1 sin ) v02 5 3gl(1 sin ) 9
l
4
AB
AB
mac mg FN
1
1 ml2 12
FN
l 2
cos
2
A
aC = aA + aCnA + aCt A
B C
A
FN
aA
45
a CnA
mg
C
aCt A
aC aCnA sin 45 aCt A sin 45
aC 0
2l 22
2l 4
1 m( 2
maxl )2
Vmax
21 k 22
b2 max
1 kb2 2
2 max
Tmax Vmax
max
0 max
bk 0 lm
A
FItC m1r
FICn m1 2r
FItD
1 2
m2r
FIDn
1 2
m2
2r
O
M ID JD
1 3
m2r
2
FO
MD(Fi ) 0
FItC
FInC
B
m1g MID
M
FDx D
FDy m2g
y FInD
FItD
x
10
FOLsin 60 X0
m1g
(
L 2
r cos 60 )
m2
g
r 2
cos
60
FItC (r
L cos 60 ) 2
FICn
L sin 60 2
M ID M 0
FDx FItD FItC m1g cos60 m2g cos60 0 Y0
FDy FIDn FICn m1g sin 60 m2g sin 60 FO 0
3
2 0
AB
2
1
A
A
vB v0 1 lAB l
AB
T1
1 2
J
P
2 1
1 1 ml2 m l 2
Leabharlann Baidu
2 12
2
2 1
1 1 ml2 23
2 1
1 ml2 6
2 1
G 6g
v02
AB
vA 2l
AB
T2
1 2
J
P
2 2
1 1 ml2 23
B
2 2
1 6
mvA2
G 6g
vA2
W12
Gl 2
T2 T1 W12
G 6g
I
1 2 3
II
150
180
III
1
(20 40 )
(1)
(2)
(3)
)
(4)
(5)
2
(20 40 )
(1)
(
1
(2)
(3)
(4)
3
(40 60 )
(1)
(2)
(3)
(4)
(5)
(6)
(
)
(7)
(8)
IV.
1 10 F
z
A
F xy
x
z
A
0
2m
3m F
y
4m
1m
3m
B
600
300
A 400 E
B
C
P
(vA2
v02 )
Gl 2
P C
B
8
vA 3gl v02 5.7m / s
2 AB
P
AB
T2
1 2
J
P
2 2
1 1 ml2 23
2 1 ml 2 2 6
W12
mg l (sin 90 2
sin ) mg l (1 sin ) 2
T2 T1 W12
1 ml2 2 6
1 6
mv02
mg l (1 sin ) 2
A B
M
O
D
5
M x (F) My (F) Mz (F)
28
Fz 3 Fy 2
2F
F 3
F 3
Fx 2 Fz 1
4F 2F 33
2F
Fx 3 Fy 1 2F
1F 3
5F 3
600
300
1
FAx
MD(Fi ) 0 FAx 400 P 900 0 FAx 2250N
X0 FAx FDx 0
FDx 2250N
FO
6 3m1g(L r) 3 3m2gr 3 3m1r (4r L) 9m1 2rL 4 3m2r2 12 3M 18L
FDx
(2m1 m2)r (m1 m2 )g 2
6 3m1g(L r) 3 3m2gr 3 3m1r (4r L) 9m1 2rL 4 3m2r2 12 3M
FDy
(2m1 m2 ) 2r 3(m1 m2 )g
a 4 3 3l 51
va = ve + vr
ve
OM 2 0.5 1m / s
vM va ve cos30
3 m/ s 2
vr ve sin 30
1m/s 2
ac
2 vr
2 0.5 1 2
0.5m / s2
AB
vB vA
A
0r 2r BC
AB 0
0
BC 2
l a
A
W
B
W
A
FNA FsA
600
FNB FsB
18L
2
11
A FAy
400
E
FDx
FDy
D 300
300
FDx D FDy
FEB
E
B
C
P
F
300
P
FFC
F
Y0
FAy FDy 1000 0
(1)
2
DF
FAx A FAy
B
C
FBE
FCF
MF (Fi ) 0
P 300
FDy
900
FEB
4 5
600
0
3
AC
MC (Fi ) 0
4
FAy
900
FBE
300 5
0
FEB FBE
2
F
D 300
300
300
2 20 AD
P 1000N ABC DEF
3 10
l AB
A
B
AB
l a
A
W
B
0.25
W
600
a,
4 15
M
OAB O
CD
OA
O
AB OA 1(m) 0.5(rad s)
OA CD AM 3OA M
MA
D
M
B
5 20
0
C
r
2r
AB
0O
A
r
3
C
B
BC
6 20
120( N )