Question Statement:
Which of the following statements is true for an aircraft flying at a low angle of attack?
Options:
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(A) Yawing motion generates yawing moment and pitching moment.
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(B) Rolling motion generates rolling moment and pitching moment.
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(C) Yawing motion generates yawing moment and rolling moment.
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(D) Pitching motion generates yawing moment and rolling moment.
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.35)**
**1. Problem Statement & Parameters**:
- **Module**: Aerospace Structures (1 Mark, MCQ)
- **Topic**: Aerospace Materials & Fatigue (Fatigue Crack Growth & S-N Curves)
- **Organizing Institute**: IISc Bengaluru
- **Problem Statement**:
> Which of the following statements is true for an aircraft flying at a low angle of attack?
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Aerospace Materials & Fatigue** (Fatigue Crack Growth & S-N Curves) 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 **D**.
**3. Comprehensive Options Analysis**:
- **(A)** *"Yawing motion generates yawing moment and pitching moment."*: ❌ **INCORRECT**.
- **(B)** *"Rolling motion generates rolling moment and pitching moment."*: ❌ **INCORRECT**.
- **(C)** *"Yawing motion generates yawing moment and rolling moment."*: ❌ **INCORRECT**.
- **(D)** *"Pitching motion generates yawing moment and rolling moment."*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) master answer key with 100% precision.
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