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Determine the equivalent resultant force acting on the bottom of the wing due to air pressure and specify where it acts, measured from point A.

Given:

a = 3 ft

k = 86\frac { Ib }{ { ft }^{ 3 } }

w(x) = k{ x }^{ 2 }

Step-by-step

{ F }_{ R } = \int _{ 0 }^{ a }{ w(x)dx } \quad \quad \quad \quad { F }_{ R } = 774 Ib

x = \frac { \int _{ 0 }^{ a }{ xw(x)dx } }{ { F }_{ R } } \quad\quad \quad \quad \quad x = 2.25 ft

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