During the ground roll manoeuvre of an aircraft, the force(s) acting on it parallel to the direction of
motion
Options:
(A) is thrust alone.
(B) is drag alone.
(C) are both thrust and drag.
(D) are thrust, drag and a part of both weight and lift.
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2012 Q.14)**
**1. Problem Statement & Parameters**:
- **Module**: Engineering Mathematics (1 Mark, MCQ)
- **Topic**: Differential Equations (First Order ODEs)
- **Organizing Institute**: IIT Delhi
- **Problem Statement**:
> During the ground roll manoeuvre of an aircraft, the force(s) acting on it parallel to the direction of motion
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Differential Equations** (First Order ODEs) 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 **D**.
**3. Comprehensive Options Analysis**:
- **(A)** *"is thrust alone."*: ❌ **INCORRECT**.
- **(B)** *"is drag alone."*: ❌ **INCORRECT**.
- **(C)** *"are both thrust and drag."*: ❌ **INCORRECT**.
- **(D)** *"are thrust, drag and a part of both weight and lift."*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2012 (IIT Delhi) master answer key with 100% precision.
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