GATE AE 2025 • Q38 MCQ • 2 Marks

Flight Mechanics & Space Dynamics

Airplane Performance & Stability

Subtopic: Aircraft Stability & Modes

Question Statement:

A general aviation airplane is initially in steady and level flight. The stability coefficient 𝜕Cm 𝜕q (Cm is the airplane pitching moment coefficient and q is the pitch rate) is negative. The airplane is perturbed with a small nose-up constant pitch rate. Assume that the horizontal tail does not stall during the perturbation, and unsteady effects are neglected. When compared to steady and level flight condition, which of the following statements is/are true during the perturbed motion?

Options:

  • (A) The angle of attack of the horizontal tail increases.
  • (B) The contribution of the horizontal tail to the airplane's pitching moment about the center of gravity is more stabilizing.
  • (C) The lift generated by the horizontal tail increases.
  • (D) The contribution of the horizontal tail to the airplane's pitching moment about the center of gravity is less stabilizing.

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.38)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Airplane Performance & Stability** under *Flight Mechanics & Space Dynamics* (2 Marks, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Airplane Performance & Stability. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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