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Which statement about angle of twist is FALSE?

  • A.It is proportional to the torsional rigidity
  • B.It is proportional to the torque
  • C.It is proportional to the length
  • D.It is inversely proportional to the shear modulus

Answer: A

Correct answer: It is proportional to the torsional rigidity

This is the false statement: \( \theta = TL/GJ \) puts the rigidity in the denominator, so twist is inversely proportional to it. The other three are all correct - twist rises with torque and with length, and falls as the shear modulus rises, the last being the same fact as the first stated for the material alone.

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