Problem $3.(35$ pts $)$ An airplane is trimmed in level flight at $V=400f\frac{t}{s}$ and at an altitude where the

density is $0\mathrm{.}001755$ slug$/f^3.$ The airplane has the following data

$W=50,000lb,C_{m_{}}=-0\mathrm{.}015,\frac{1}{d}eg,\frac{x_{cg}}{(\frac{?}{\text{b}\text{a}\text{r}}(c))}=0\mathrm{.}25$

$S=1000f{t}^2,C_{m_e}=-\frac{0\mathrm{.}03241}{d}eg,C_{m_0}=0\mathrm{.}1$

$C_L=a=0\mathrm{.}145,\frac{1}{d}eg,C_{L_e}=0\mathrm{.}00433,\frac{1}{d}eg$

Show sufficient detail in your work toward the following

$($c$)(5$ pts $)$ Find the neutral point location.

$($d$)(5pts)$ Determine the aft most position of the C$.$G$.$ before the airplane loses its longitudinal static

stability.