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If torsional rigidity increases in the torsion equation, then the:

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RRB JE ME 22 Apr 2025 Shift 1 CBT 2 Official Paper
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  1. angle of twist first increases then decreases
  2. angle of twist decreases
  3. angle of twist increases
  4. angle of twist remains constant

Answer (Detailed Solution Below)

Option 2 : angle of twist decreases
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Detailed Solution

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Concept:

We use the torsion equation to analyze the relationship between torsional rigidity and angle of twist in a shaft under torque.

Given:

  • Torsion equation:
  • Torsional rigidity:
  • Angle of twist:

Step 1: Rearrange the torsion equation

To express angle of twist explicitly:

Step 2: Analyze the relationship

The equation shows:

This means:

  • When torsional rigidity () increases, angle of twist () decreases
  • When torsional rigidity decreases, angle of twist increases

Step 3: Physical interpretation

Torsional rigidity represents a shaft's resistance to twisting:

  • Higher (stiffer shaft) → Less twist under same torque
  • Lower (more flexible shaft) → More twist under same torque

Increasing torsional rigidity decreases the angle of twist in a shaft under torsion.

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