GATE AE 2014 • Q54 NAT • 2 Marks

Aerodynamics & Fluid Mechanics

Incompressible & Compressible Aerodynamics

Subtopic: Airfoil & Wing Theory

Question Statement:

Consider the following four statements regarding aircraft longitudinal stability: P. CM,cg at zero lift must be positive Q. ∂CM,cg/∂αa must be negative (αa is absolute angle of attack) R. CM,cg at zero lift must be negative S. Slope of CL versus αa must be negative Which of the following combination is the necessary criterion for stick fixed longitudinal balance and static stability? (A) Q and R only (B) Q, R, and S only (C) P and Q only (D) Q and S only

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.54)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Incompressible & Compressible Aerodynamics** under *Aerodynamics & Fluid Mechanics* (2 Marks, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Incompressible & Compressible Aerodynamics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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