An unswept fixed-winged aircraft has a large roll stability if the wing is placed
Options:
(A) low on the fuselage and has negative dihedral angle
(B) low on the fuselage and has positive dihedral angle
(C) high on the fuselage and has negative dihedral angle
(D) high on the fuselage and has positive dihedral angle
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2009 Q.9)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Verbal Aptitude (Verbal Deduction & Reasoning)
- **Organizing Institute**: IIT Roorkee
- **Problem Statement**:
> An unswept fixed-winged aircraft has a large roll stability if the wing is placed
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Verbal Aptitude** (Verbal Deduction & Reasoning) under *General Aptitude*. 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)** *"low on the fuselage and has negative dihedral angle"*: ❌ **INCORRECT**.
- **(B)** *"low on the fuselage and has positive dihedral angle"*: ✅ **CORRECT**.
- **(C)** *"high on the fuselage and has negative dihedral angle"*: ❌ **INCORRECT**.
- **(D)** *"high on the fuselage and has positive dihedral angle"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2009 (IIT Roorkee) master answer key with 100% precision.
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