$7\mathrm{.}3\mathrm{.}7$ WP A thin elastic wire is placed between rigid supports. A fluid flows past the wire, and

it is desired to study the static deflection, $,$ at the center of the wire due to the fluid drag.

Assume that

$=f(l,d,,,V,E)$

where $l$ is the wire length, $d$ the wire diameter, $p$ the fluid density, $$ the fluid viscosity, $V$ the

fluid velocity, and $E$ the modulus of elasticity of the wire material. Develop a suitable set of pi

terms for this problem.