3) An airplane has the following stability and inertia characteristics: W = 664000 lb Ix =...

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3) An airplane has the following stability and inertia characteristics: W = 664000 lb Ix = 12.7×10° slug. ft² Iy = 30.5×10° slug. ft² I₂ = 43.1×106 slug. ft² h = sea level S=5500 ft² b=195.68 ft c = 28.3 ft V = 380 ft/s C₁ = 1.11 Cp = 0.102 Cla = 5.7 1/rad La Cp = 0.66 1/rad Da Cma=-1.26 1/rad Cma = -3.2 1/rad Cmq = -20.8 1/rad a) Find the frequency and damping ratios of the short- and long-period modes. b) Find the time to half-amplitude for each mode. c) Discuss the influence of the coefficients Cmq and Cmc on the longitudinal motion. ma 3) An airplane has the following stability and inertia characteristics: W = 664000 lb Ix = 12.7×10° slug. ft² Iy = 30.5×10° slug. ft² I₂ = 43.1×106 slug. ft² h = sea level S=5500 ft² b=195.68 ft c = 28.3 ft V = 380 ft/s C₁ = 1.11 Cp = 0.102 Cla = 5.7 1/rad La Cp = 0.66 1/rad Da Cma=-1.26 1/rad Cma = -3.2 1/rad Cmq = -20.8 1/rad a) Find the frequency and damping ratios of the short- and long-period modes. b) Find the time to half-amplitude for each mode. c) Discuss the influence of the coefficients Cmq and Cmc on the longitudinal motion. ma