AENG20008: Provide the derivation for Equation 1, describing in your own words the assumptions and simplifications: Aerospace Dynamics Assignment, UOB, UK

Provide the derivation for Equation 1, describing in your own words the assumptions and simplifications that lie behind it. Explain where the effect of downwash on the horizontal tail appears within the equation and a model that might be used to represent it. Do not forget to include appropriate diagrams.
Explain the importance of positioning the aircraft’s center of gravity. Within your answer, please refer to Equation 1, and define and describe both the neutral point and static margin.
Explain the concept of static stability and how we can deduce this from a Cm vs α plot. Describe in detail what is shown in Figure 1 and the significance of deep stall when it comes to aircraft flight safety and pitch control in flight.

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