Problem 3.6
[Difficulty: 2]
Given:
Data on system before and after applied force
Find:
Applied force
Solution:
Basic equation
dp
dy
ρ
−
g
⋅
=
or, for constant
ρ
p
p
atm
ρ
g
⋅
y
y
0
−
(
)
⋅
−
=
with
p y
0
(
)
p
atm
=
For initial state
p
1
p
atm
ρ
g
⋅
h
⋅
+
=
and
F
1
p
1
A
⋅
=
ρ
g
⋅
h
⋅
A
⋅
=
(Gage; F
1
is hydrostatic upwards force)
For the initial FBD
Σ
F
y
0
=
F
1
W
−
0
=
W
F
1
=
ρ
g
⋅
h
⋅
A
⋅
=
For final state
p
2
p
atm
ρ
g
⋅
H
⋅
+
=
and
F
2
p
2
A
⋅
=
ρ
g
⋅
H
⋅
A
⋅
=
(Gage; F
2
is hydrostatic upwards force)
For the final FBD
Σ
F
y
0
=
F
2
W
−
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 Fall '07
 Lear
 Fluid Mechanics

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