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Assertion (A): The product of inertia vanishes for a section with one axis of symmetry.

Reason (R): Contributions from either side of the axis cancel in pairs.

Select the correct answer from the options below.

  • A.Both A and R are true, but R is not the correct explanation of A
  • B.A is true but R is false
  • C.A is false but R is true
  • D.Both A and R are true, and R is the correct explanation of A

Answer: D

Both statements are true and the second explains the first. For every element at a positive coordinate there is a mirror element at the negative one, so the integral of the product cancels. Such reference axes are therefore already principal axes.

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