Question Statement:
For a fixed center of gravity location of an airplane, when the propeller is mounted on the nose of the fuselage
Options:
-
(A) longitudinal static stability increases
-
(B) longitudinal static stability decreases
-
(C) longitudinal static stability remains same
-
(D) longitudinal static stability is maximum
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.7)**
**1. Problem Statement & Parameters**:
- **Module**: General Aptitude (2 Mark, MCQ)
- **Topic**: Quantitative Aptitude (Data Interpretation)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> For a fixed center of gravity location of an airplane, when the propeller is mounted on the nose of the fuselage
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Quantitative Aptitude** (Data Interpretation) 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 **A**.
**3. Comprehensive Options Analysis**:
- **(A)** *"longitudinal static stability increases"*: ✅ **CORRECT**.
- **(B)** *"longitudinal static stability decreases"*: ❌ **INCORRECT**.
- **(C)** *"longitudinal static stability remains same"*: ❌ **INCORRECT**.
- **(D)** *"longitudinal static stability is maximum"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.
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