Which of the above materials would you choose such that weight of the shaft subjected to torsion is minimum?
Options:
(A) Material with highest shear strength to density ratio
(B) Material with highest density
(C) Material with lowest shear modulus
(D) Material with lowest yield strength
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.52)**
**1. Problem Statement & Parameters**:
- **Module**: Flight Mechanics & Space Dynamics (2 Mark, MCQ)
- **Topic**: Space Dynamics & Orbital Mechanics (Rocket Trajectory & Staging)
- **Organizing Institute**: IIT Madras
- **Problem Statement**:
>
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Space Dynamics & Orbital Mechanics** (Rocket Trajectory & Staging) 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 **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"X only"*: ❌ **INCORRECT**.
- **(B)** *"Y only"*: ✅ **CORRECT**.
- **(C)** *"Z only"*: ❌ **INCORRECT**.
- **(D)** *"X or Y
If you assume a factor of safety of 2, what should be the approximate thickness of such a shaft? Q.53"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2011 (IIT Madras) 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.