- Question 1 25 Marks Consider The Arbitrary Characteristic Equation 4 53 682 65 7 0 1 Apply The Ruth S Crite 1 (74.89 KiB) Viewed 33 times
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Question 1 (25 marks) Consider the arbitrary characteristic equation: $4 +53 +682 +65 + 7 = 0 (1) Apply the Ruth's criteria to evaluate the stability of the system. (8 marks) (ii) Appraise number of roots that are with positive real parts. (2 marks) (6) The following is the small perturbation equation of motion of a DC-8 aircraft, flying at a forward speed of U = 251 m/s. The aircraft is performing an steady level turn with a turn rate: r = 0.0251 rad/s. 0 0 1 -0.0063 1 0 -0.01190 1 0 0 10 V -0.0868 0 -0.0176 -1.18 0.00864 -0.01294 0 1 р -251 0.336 -0.23 0 9.817 0 0 0.0 5.587 -2.11 0.559 132 -0.0519 -1.168113 0 0 φ. (1) Analyse the equation of motion and formulate the simplified equation govering the steady level turn flight. Prove that the equation could be simplified into the following form: 6.6+63 { {*} + = 0 (6 marks) (ii) Hence, or otherwise, appraise the aileron and rudder setting, and the bank angle for the steady level turn flight. (9 marks)