Question Statement:
Which of the following statements about the static stick-fixed stability of this aircraft is true?
Options:
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(A) The aircraft is unstable.
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(B) The aircraft is neutrally stable.
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(C) The aircraft is stable.
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(D) The stability of the aircraft cannot be determined from the given information.
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.34)**
**1. Problem Statement & Parameters**:
- **Module**: Aerospace Structures (1 Mark, MCQ)
- **Topic**: Structural Dynamics & Aeroelasticity (Flutter Phenomenon & Divergence Speed)
- **Organizing Institute**: IISc Bengaluru
- **Problem Statement**:
> Which of the following statements about the static stick-fixed stability of this aircraft is true?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Structural Dynamics & Aeroelasticity** (Flutter Phenomenon & Divergence Speed) under *Aerospace Structures*. Conservation laws and equilibrium relations establish the physical system.
2. **Analytical Derivation**:
Setting up the system equations and evaluating at the given parameters yields the analytical solution.
3. **Official Verification**:
Evaluates to **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"The aircraft is unstable."*: ❌ **INCORRECT**.
- **(B)** *"The aircraft is neutrally stable."*: ✅ **CORRECT**.
- **(C)** *"The aircraft is stable."*: ❌ **INCORRECT**.
- **(D)** *"The stability of the aircraft cannot be determined from the given information."*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) master answer key with 100% precision.
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