... Engineering Mechanics - Statics Chapter 11
Problem 1 1-1 7
Each member of the pin-connected mechanism has a
mass m
1
. If the spring is unstretched ... publisher.
Engineering Mechanics - Statics Chapter 11
V
γπ
a
2
h
2
2
W3a
8
−
⎛
⎜
⎝
⎞
⎟
⎠
cos
θ
()
=
θ
V
d
d
γπ
a
2
h
2
2
W3a
8
−
⎛
⎜
⎝
⎞
⎟
⎠
− sin
θ
()
=
2
θ
V
d
d
2
γπ
a
2
h
2
2
W3a
8
−
⎛
⎜
⎝
⎞
⎟
⎠
− ... publisher.
En...
... publisher.
Engineering Mechanics - Statics Chapter 10
the x and y axes.
Given:
a 30 mm=
b 170 mm=
c 30 mm=
d 140 mm=
e 30 mm=
f 30 mm=
g 70 mm=
Solution:
I
x
1
3
ac d+ e+()
3
1
3
bc
3
+
1
12
ge
3
+ ... publisher.
Engineering Mechanics - Statics Chapter 10
Solution:
I
y
ab
3
3
1
36
ac
3
+
1
2
ac b
c
3
+
⎛
⎜
⎝
⎞
⎟
⎠
2
+
1
36
db c+()
3
+
1
2
db c+()...
... the publisher.
Engineering Mechanics - Statics Chapter 9
Units Used:
Mg 10
3
kg=
kN 10
3
N=
Given:
L 8m=
ρ
w
1.0
Mg
m
3
=
a 3m=
b 2m=
g 9.81
m
s
2
=
Solution:
F
3
ρ
w
gabL= F
3
470 .88 kN=
F
2
ρ
w
gabL= ... writing from the publisher.
Engineering Mechanics - Statics Chapter 9
F 7. 62 10
3
×= N
x
c
1
F
0
5
xx
240−
x 1+
34 0+
⎛
⎜
⎝
⎞
⎟
⎠
6
⌠
⎮
⎮
⌡
d=
x
c
2 .74...
... publisher.
Engineering Mechanics - Statics Chapter 9
Given:
a 2ft=
b 2ft=
Solution:
V
0
b
z
π
a
2
z
b
⌠
⎮
⎮
⌡
d=
V 12.566 ft
3
=
z
c
1
V
0
b
zz
π
a
2
z
b
⌠
⎮
⎮
⌡
d=
z
c
1 .33 3 ft=
Problem 9 -3 5
Locate ... writing from the publisher.
Engineering Mechanics - Statics Chapter 9
Problem 9 -3 6
Locate the centroid of the quarter-cone.
Solution:
r
a
h
hz−()= z
c
z= x
c
y...
... permission in writing from the publisher.
Engineering Mechanics - Statics Chapter 8
Given:
M 75 kg=
a 70 0 mm=
b 25 mm=
c 30 0 mm=
d 200 mm=
e
1
60 mm=
μ
s
0 .3=
e 2 .71 8=
Solution:
Initial guesses:
T
1
1N= ... publisher.
Engineering Mechanics - Statics Chapter 8
F
E
Pcb
b
2
c
2
+ cos
β
()
b sin
β
()
a+
()
= F
E
72 .7 N=
The equilibrium of clamped block requires tha...
... x,
()
=
P
N
B
F
B
T
N
D
F
D
⎛
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
13. 33
33. 33
6. 67
6. 67
30 .00
6. 67
⎛
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
lb= x 0. 67 ft=
Now checke the assumptions
F
Dmax
μ
D
N
D
=
Since
F
D
6. 67 lb=
<
F
Dmax
9.00 ... publisher.
Engineering Mechanics - Statics Chapter 8
Since
x 0. 67 ft=
<
b
2
0 .75 ft=
then the block does not tip.
So our or...
... from the publisher.
Engineering Mechanics - Statics Chapter 7
01 234 5 678 9
1
0.5
0
0.5
1
Distance in m
Shear force in N
V
1
x
1
()
V
2
x
2
()
V
3
x
3
()
x
1
x
2
, x
3
,
01 234 5 678 9
0
200
400
600
Distance ...
L
3
x≤
2L
3
≤
+
↑
Σ
F
y
= 0;
V
2
0
=
Σ
M
x
= 0;
M
2
M
0
=
For
2L
3
x≤ L≤
+
↑
Σ
F
y
= 0;
V
3
0
=
Σ
M
x
= 0;
M
3
0
=
b()
x
1
0 0.01
L,
L
3
= x
2
L...