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Exam 1 Practice Fall 2009

# Exam 1 Practice Fall 2009 - AAE 203 Fall 2009 Test One...

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AAE 203, Fall 2009 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 4 which is along the diagonal of the rectangle. The angle β is 30 . 3 4 β ˆ e 3 ˆ e 1 ˆ e 2 ¯ V 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 Reference frame e is fixed in the earth. Bar T is rotating (relative to the earth) about an axis parallel to ˆ e 3 through O at a constant rate Ω. Relative to the bar, a disk
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