1. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 1 Chapter 4 Forces and Moments

2. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 2 Equations of Motion from Chap 3

3. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 3 External Forces and Moments

4. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 4 Gravity Force

5. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 5 above static pressure below static pressure Airfoil Pressure Distribution

6. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 6 Aerodynamic Approximation

7. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 7 Control Surfaces - Conventional

8. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 8 Control Surfaces – V-tail

9. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 9 Control Surfaces – Flying Wing

10. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 10 Aircraft Dynamics Aircraft dynamics and aerodynamics are commonly separated into two groups: Longitudinal Up-down, pitch plane, pitching motions Lateral-directional Side-to-side, turning motions (roll and yaw)

11. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 11 Longitudinal Aerodynamics

12. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 12 Aerodynamic Approximation stability derivatives control derivative

13. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 13 Linear Aerodynamic Model Linear aerodynamic model is valid for small angles of attack – flow remains attached over wing

14. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 14 Nonlinear Aerodynamics – Stall

15. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 15 Nonlinear Lift Model

16. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 16 Nonlinear Aerodynamic Model linear model flat-plate model blending function

17. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 17 Nonlinear Aerodynamic Model

18. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 18 Drag vs. Angle of Attack parasitic drag induced drag linear model incorrect for negative angles of attack parasitic drag: profile drag of wing, friction and pressure drag of tail surfaces, fuselage, landing gear, etc. induced drag: “drag due to lift”

19. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 19 Linear Lift and Drag Models

20. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 20 Longitudinal Forces – Body Frame

21. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 21 Pitching Moment

22. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 22 Lateral Aerodynamics

23. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 23 Lateral Aerodynamics

24. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 24 Aerodynamic Coefficients

25. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 25 Aerodynamic Coefficients

26. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 26 Propeller Thrust

27. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 27 Propeller Torque

28. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 28 Wind Model

29. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 29 Dryden Gust Model

30. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 30 Wind Model

31. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 31 Adding in the Effects of Wind

32. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 32 Summary

33. Beard & McLain, “Small Unmanned Aircraft,” Princeton University Press, 2012, Chapter 4: Slide 33 Project 4