$2\mathrm{.}12$ Only please $(2\mathrm{.}2$ data is in the problem$).$ If the control characteristics of the elevator used in Example Problem $2\mathrm{.}2$ are as

follows, determine the forwardmost limit on the center of gravity travel so that the

airplane can be controlled during landing; that is$,$ at $C_{L_{\text{m}\text{a}\text{x}}}.$ Neglect ground effects on

the airplane's aerodynamic characteristics:

$C_{m{}_c}=-\frac{1\mathrm{.}03}{r}ad,{}_{e_{\text{m}\text{a}\text{x}}}=\{\begin{array}{c}+10\\ -20\\ C_{L_{\text{m}\text{a}\text{x}}}=1\mathrm{.}4\end{array}$

Filgint condition

$W=2750lb$

$V=176f\frac{t}{sec}$

$x_{cg}=\frac{0\mathrm{.}295}{b}ar(c)$

Wing airfoil characteristics

$c_{m_{ac}}=-0\mathrm{.}116$

$C_{l_{}}=\frac{0\mathrm{.}097}{d}eg$

${}_{{}_{}}=-5$

$x_{oc}=\frac{0\mathrm{.}25}{b}ar(c)$

$No$ Twist

$i_w=1\mathrm{.}0$

Reference geometry

$S=184f{t}^2,S_H=43t{t}^2$

FIGURE $2\mathrm{.}10$

General aviation airplane.

Tail airfoil section

$C_{l_{}}=\frac{0\mathrm{.}01}{d}eg$

$C_{m_{\text{m}\text{o}\text{x}}}=0\mathrm{.}0$

$i_t=-1\mathrm{.}0$