$($P $2\mathrm{.}8$ Evaluate the fundamental flexural frequency of the beam of Figure P $2\mathrm{.}7$ and plot its mode shape, evaluate at increments $\frac{L}{5}$ along its length. Note that the lowest frequency of this unstable structure is zero; the frequency of interest is the lowest nonzero value.

$w(0,t)=0$

$w^{\text{'}\text{'}}(0,t)=0$

$EI{w}^{\text{'}\text{'}}(L,t)=0$

$EI{w}^{\text{'}\text{'}\text{'}}(L,t)-ln(L,t)$

$=0$

Find the equation that will be used to get the frequency of the beam