AAE 203, Spring Fall 2008
Test One
Problem 1
Determine the dimension of
ρ
in order for the following equation
to be dimensionally homogeneous.
m
˙
V
=
−
1
2
ρV
2
C
D
S
−
W
sin
γ
+
T
cos
α
where
W
and
T
represent forces,
m
is a mass,
V
is a speed,
α
is an angle,
S
is an area and
C
D
is dimensionless.
Problem 2
Consider the vector
¯
V
of length 2 which is along one of the main
diagonals of the box. The angle
α
is 30
◦
.
Find
an expression for
¯
V
in terms of the unit vectors ˆ
e
1
,
ˆ
e
2
,
ˆ
e
3
.
1
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Problem 3
Consider the two bars of lengths
a
and
b
which are connected
together and move in the ˆ
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 Spring '10
 ...
 Rotation, Elementary mathematics, two bars

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