Moderate

The highest moment of inertia, if all the objects have the same mass and same radius, is of:

Correct answer: A. A ring about its axis perpendicular to the plane of the ring

  • A. A ring about its axis perpendicular to the plane of the ring
  • B. A solid sphere about one of its diameters
  • C. A spherical shell about one of its diameters
  • D. A disc about its axis perpendicular to the plane of the disc

Explanation

Moment of inertia increases with mass distribution farther from the axis. For identical mass and radius, a thin ring places all mass at radius r giving I = m r², larger than solid sphere, shell or disc. Therefore the ring has the highest moment of inertia.

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