GATE AE 2010 • Q23
MCQ • 1 Mark
Flight Mechanics & Space Dynamics
Static Stability & Control
Subtopic: Longitudinal Static Stability & Neutral Point
Question Statement:
The damping ratio 5 is approximately:
Options:
-
(A) 0.052
-
(B) 0.023
-
(C) 0.366
-
(D) 0.159
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2010 Q.23)**
**1. Problem Statement & Parameters**:
- **Module**: Flight Mechanics & Space Dynamics (1 Mark, MCQ)
- **Topic**: Static Stability & Control (Longitudinal Static Stability & Neutral Point)
- **Organizing Institute**: IIT Guwahati
- **Problem Statement**:
> The damping ratio 5 is approximately:
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Static Stability & Control** (Longitudinal Static Stability & Neutral Point) under *Flight Mechanics & Space Dynamics*. 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)** *"0.052"*: ❌ **INCORRECT**.
- **(B)** *"0.023"*: ❌ **INCORRECT**.
- **(C)** *"0.366"*: ❌ **INCORRECT**.
- **(D)** *"0.159"*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2010 (IIT Guwahati) master answer key with 100% precision.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.
Launch CBT Mock Test