$10)$ A fixed$-$free beam has the following properties, $c=\sqrt[\phantom{2}]{\frac{EI}{A}}=10\frac{m^2}{(s)}.$ A fundamental frequency of $100ra\frac{d}{s}$ is needed. What length of beam will provide the necessary frequency?

a$)L=0\mathrm{.}356m$

b$)L=0\mathrm{.}593m$

c$)L=13\mathrm{.}3m$

d$)L=1\mathrm{.}21m$

e$)L=10\mathrm{.}0m$