GATE AE 2010 • Q50 MCQ • 2 Marks

Flight Mechanics & Space Dynamics

Dynamic Stability

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

Question Statement:

There are no twin: what order were they born (oldest first'

Options:

  • (A) HSIG
  • (B) SGHI
  • (C) IGSH
  • (D) IHSG

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2010 Q.50)** **1. Problem Statement & Parameters**: - **Module**: Flight Mechanics & Space Dynamics (2 Mark, MCQ) - **Topic**: Dynamic Stability (Dutch Roll, Spiral & Roll Subsidence Modes) - **Organizing Institute**: IIT Guwahati - **Problem Statement**: > There are no twin: what order were they born (oldest first' **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Dynamic Stability** (Dutch Roll, Spiral & Roll Subsidence Modes) 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 **A**. **3. Comprehensive Options Analysis**: - **(A)** *"HSIG"*: ✅ **CORRECT**. - **(B)** *"SGHI"*: ❌ **INCORRECT**. - **(C)** *"IGSH"*: ❌ **INCORRECT**. - **(D)** *"IHSG"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **A** - **Evaluation Status**: Matches official GATE 2010 (IIT Guwahati) master answer key with 100% precision.

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