Aerospace Engineering 3521: Flight Dynamics Prof. Eric Feron Homework 3 due September 15, 2014 1 Problem 1: Please match the following wing/tail or wing/canard configurations with the provided Cm vs. αF RL , the angle of attack of the fuselage reference line. Explain your reasoning. (a) F.R.L. c.g. (b) F.R.L. c.g. (c) c.g. F.R.L. c.g. F.R.L. (d) (e) F.R.L. c.g. (f) F.R.L. c.g. Direction of aircraft motion Cm Cm Cm (3) (2) (1) αFRL αFRL Cm αFRL Cm (4) Cm (5) (6) αFRL αFRL αFRL Figure 1: Airfoil configurations and moment curves 2 Problem 2:[10pt] Develop an expression for the wing dihedral effect, Clβ for a wing planform that uses dihedral only for the outboard portion of the wing as shown in Figure 2. Please state your assumptions. Γ d b/2 Figure 2: Wing planform 3 Problem 3: In class on friday, Sep 5, we have derived a formula for the computation of trim angle of attack and elevator deflection as αtrim = Cmα CLδe −Cm0 CLδe . − CLα Cmδe − CT0 CMδe Nelson’s book page 65, section 2.4.2 gives the different formula αtrim = −Cmδe CLtrim − Cm0 CLδe Cmα CLδe − CLα Cmδe Is any of the two formulas wrong? Are they both true? Please explain your reasoning. 4
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