Oy
Solution 6.1
()
==
30 20 600 N
ma
Solution 6.2
=
g
3g
a
y
Gma
2″
2″6″
C
y
C
x
Solution 6.3
υυ
=== =
0
m
g 60 lb, 45 , 225 ft, 0, Constant
fmph
Sa
Solution 6.4
()
+
+
==
:1
xA
FmaN ma
() ( )
=
S
ubstitute 1 into 2 : g 3
a
A
N
B
G
ℓ/2 ma
30°
Oy
O
3°
Solution 6.5
ρ
= 2 kg/m, L = 500 mm, P = 60 N
()( )
4420.500
mL
ρ
==
=
AB
a
L
P
mg
N
A
N
B
Solution 6.6
Solution 6.7
00
0
y
GG A
yG
MI F
Fma
α
===
==
Entire system:
()
()
:3g
or 3 g
xx
FmaPMm
PMm
==+
=+
N
A
N
B
O
A
G
B
ma
mg
30°
7°
60°
ℓ/2
ℓ/2
x
G
mg
y
+
P
N
A
y
A
x
C
60°
60°
y
Solution 6.8
Bar:
2
32 sin60 , 15.57 N
A
=°=+
Solution 6.9
T
+
L/2
mg
PP
x
P
y
k
T
θ
x
y
ma
Solution 6.10
If a = 5 g, what is
θ
?
=
667 N
y
O
P
y
k
T
θ
y
Solution 6.12
()
3
6.85 10 N or 6.85 kN
AA
NN
==
G
ma
25″
15″
F
A
F
B
N
N
B
1.2 m 1.2 m
N
A
N
B
Solution 6.14
B
2 m
C
A
Solution 6.15
2
0.40
µ
=
Dynamic
x
=
2
3.92 m s
fr
a
m
1
g
G
1
Dim. in mm
+
x
y
n
Solution 6.16
b
=
−=
=
g0.259
2
0.224 g
A
Mmad
b
a
a
Solution 6.17
AB
b
b
G
R
ma
B
N
900(9.81) N
1.2 m
Solution 6.18
Hoop:
:
x
xGf
FmaFma
==
3
s
Solution 6.19
2
2
1389 N
y
y
A
=
mg
a
4r/3π
Solution 6.20
x
800 N
ma = 20(4.84) = 96.8 N
D
n
Solution 6.22
=
2
3.30 m s
()() ()( )
;15 140 9.81 2.4 140 3.30 3 1.8
257 kN
C
MmadN
N
=− = −
=
R
A
N
G
C
ma
a
3 m 1.8 m
2.4 m
140(9.81) kN
ℓ/2 ℓ/2
x
Solution 6.23
m
4000 sin 30° = 2000 lb
4000 cos 30° = 3464 lb
Solution 6.24
a= 11.79 ft/sec2
Solution 6.25
G
ma
G
mg = 1800(9.81) N
+x
y
G
t
O
0.2 m 0.2 m
2F
Solution 6.26
Solution 6.27
()()
2
,20 9.81 0.2
120 0.4
36.8 rad sec
OO
MI
α
α
=
=
()
α
==×=
=−=×
====
2
, 0.2 36.8 7.36 m s
, 20 9.81 2 20 7.36
2
49.0, 24.5 N
tt
AB
a
ra
Fma F
FFFF
aDFf
DFg
G
DFr
Nr
Nf
Fr
Ffmg
Fd
250
+
x
y
Dim. in mm
υ
µ
Solution 6.28
() () ()
2
12 12
6 18 500 38
3.14 sin16.26 3.14 cos16.26 4
12 12 32.2 12
12
OO O
ρρ
ρ
°+ °=
=
2
5.5 lb in.
Oy
O
A
6″48″
4″
+
x
Solution 6.29
A
n
3.2 (9.81) N 45 N
30° (immaterial)
G
x
G
y
G
R
8″
O
Solution 6.31
α
=
9.30 rad s
Solution 6.32
(a)
2