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In power transmission shafts, if the polar moment of inertia of a shaft is doubled, then what is the torque required to produce the same angle of twist? 
  • a)
    1/4 of the original value
  • b)
    1/2 of the original value
  • c)
    Same as the original value
  • d)
    Double the original value
Correct answer is option 'D'. Can you explain this answer?
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Explanation:
The polar moment of inertia (J) is a measure of a shaft's resistance to torsion. When the polar moment of inertia is doubled, it means the shaft's resistance to torsion has also doubled.

To produce the same angle of twist, a greater torque is required to overcome this increased resistance to torsion. Therefore, the torque required to produce the same angle of twist will be double the original value.

Hence, the correct answer is option 'D'.

Summary:
- The polar moment of inertia measures a shaft's resistance to torsion.
- Doubling the polar moment of inertia means doubling the shaft's resistance to torsion.
- To produce the same angle of twist, a greater torque is required to overcome this increased resistance to torsion.
- Therefore, the torque required to produce the same angle of twist will be double the original value.
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In power transmission shafts, if the polar moment of inertia of a shaft is doubled, then what is the torque required to produce the same angle of twist?a)1/4 of the original valueb)1/2 of the original valuec)Same as the original valued)Double the original valueCorrect answer is option 'D'. Can you explain this answer?
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