An airplane has its Neutral Point \(x_{NP}\) located at \(0.35c\) (35% of the Mean Aerodynamic Chord). The Current Center of Gravity (CG) \(x_{CG}\) is \(0.20c\) (20% of the Mean Aerodynamic Chord). The pilot wants to move the CG to a new position such that the Static Margin is reduced by exactly \(50\%\). Calculate the new location of CG?
Show Hint
The static margin is
\[
\boxed{
SM=x_{NP}-x_{CG}.
}
\]
Moving the CG aft decreases the static margin, while moving it forward increases the static margin.