GATE AE 2011 • Q15 MCQ • 1 Mark

Engineering Mathematics

Numerical Methods

Subtopic: Newton-Raphson Method

Question Statement:

Lift on an aircraft climbing vertically up is:

Options:

  • (A) equal to its weight
  • (B) zero
  • (C) equal to the drag
  • (D) equal to the thrust

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.15)** **1. Problem Statement & Parameters**: - **Module**: Engineering Mathematics (1 Mark, MCQ) - **Topic**: Numerical Methods (Newton-Raphson Method) - **Organizing Institute**: IIT Madras - **Problem Statement**: > **2. Mathematical Derivation & Physical Analysis**: 1. **Governing Physical Principles**: Governed by **Numerical Methods** (Newton-Raphson Method) under *Engineering Mathematics*. 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)** *"equal to the drag"*: ❌ **INCORRECT**. - **(B)** *"equal to the thrust If an aircraft is performing a positive yawing manoeuvre, the side slip angle Q.16"*: ✅ **CORRECT**. - **(C)** *"is always zero"*: ❌ **INCORRECT**. - **(D)** *"is never zero"*: ❌ **INCORRECT**. **4. Official Answer Verification**: - **Official Master Answer**: **B** - **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.

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