The surface equation for a slender body shown in Fig. P5.33 is given by

\[ z=0.05 \sqrt{x / l}, 0 \leq x \leq l . \]

Find the following derivatives of the aerodynamic coefficients,

\[ \text { i) } \partial C_{L} / \partial \alpha, \text { ii) } \partial C_{M} / \partial \alpha, \text { iii) } \partial C_{M} / \partial(\dot{\alpha} l / U) \text {. } \]

It is known that;

For the static stability: \(\partial C_{M} / \partial \alpha

Using the stability criterion given above determine 

(i) static stability,

(ii) dynamic stability of the body assuming that it is made out of an homogeneous material.

Fig. P5.33

Transcribed Image Text:

Z x