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GK QUESTION#3132

The moment of inertia of a rigid body about a specified axis is best described as:

  1. AIs scalar quantity and does not vary with the axis
  2. BIs a scalar quantity, dependent on the axisCorrect answer
  3. CIs vector quantity and varies with the axis
  4. DIs tensor quantity and does not vary with the axis
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Answer

B. Is a scalar quantity, dependent on the axis

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Explanation

For a specified axis, moment of inertia is the scalarI=Σmᵢrᵢ², where rᵢ is perpendicular distance from that axis. It depends on the chosen axis; different axes can sometimes have equal values by symmetry. The inertia tensor is the more general description, not the scalar moment about one specified axis.

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