The delta wing given in Example 8.3 is in yaw oscillating with \(35^{\circ}\) amplitude and \(0.40 \mathrm{~s}\) period. Using the coefficients given for yawing moment and \(C_{2}=0.003\) obtain: 

(i) the restoring moment coefficient, 

(ii) yaw angle change with time, 

(iii) damping moment coefficient,

(iv) rate of change of yaw angle with time. 

Plot the total yaw moment-yaw angle hysteresis curve, and indicate the feeding and the damping zones on the curve.

Example 8.3

At \(25^{\circ}\) angle of attack, a wing with \(80^{\circ}\) angle of sweep rocks with period of \(0.39 \mathrm{~s}\). and amplitude of \(32^{\circ}\). Obtain the graph of \(C_{R}\) versus \(\phi\) and \(C_{D}\) versus \(\dot{\phi}\), and comment on them. Data: \(a_{1}=-0.0572, a_{2}=0.1362, a_{3}=0.0514\), \(a_{4}=-1.403, a_{5}=-1.943, a_{6}=0.075\).