Subtopic: Control Surfaces (Elevator, Aileron, Rudder)
Question Statement:
If horizontal tail area is increased while the elevator to horizontal tail area ratio is kept same, then
Options:
(A) both longitudinal static stability and elevator control power will increase
(B) only longitudinal static stability will increase
(C) only elevator control power will increase
(D) neither stability nor control power changes
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2007 Q.32)**
**1. Problem Statement & Parameters**:
- **Module**: Aerospace Structures (1 Mark, MCQ)
- **Topic**: Strength of Materials & Elasticity (Airframe Structural Analysis & Trusses)
- **Organizing Institute**: IIT Kanpur
- **Problem Statement**:
> If horizontal tail area is increased while the elevator to horizontal tail area ratio is kept same, then
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Strength of Materials & Elasticity** (Airframe Structural Analysis & Trusses) 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 **A**.
**3. Comprehensive Options Analysis**:
- **(A)** *"both longitudinal static stability and elevator control power will increase"*: ✅ **CORRECT**.
- **(B)** *"only longitudinal static stability will increase"*: ❌ **INCORRECT**.
- **(C)** *"only elevator control power will increase"*: ❌ **INCORRECT**.
- **(D)** *"neither stability nor control power changes"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2007 (IIT Kanpur) master answer key with 100% precision.