$7\mathrm{.}3\mathrm{.}9$

$7\mathrm{.}3\mathrm{.}9$WPVideo Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency $\backslash (\backslash$omega $\backslash )($see Fig. P$7\mathrm{.}3\mathrm{.}9.$ and Video V$9\mathrm{.}9).$ Assume that $\backslash (\backslash$omega $\backslash )$ is a function of the sign width, $\backslash ($ b $\backslash ),$ sign height, $\backslash ($ h $\backslash ),$ wind velocity, $\backslash ($ V $\backslash ),$ air density, $\backslash (\backslash$rho $\backslash ),$ and an elastic constant, $\backslash ($ k $\backslash ),$ for the supporting pole. The constant, $\backslash ($ k $\backslash ),$ has dimensions of FL$.$ Develop a suitable set of pi terms for this problem.