The highest moment of inertia if all the objects have 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
The moment of inertia for a thin ring is given by I = mr2, where m is the mass and r is the radius. A ring with mass evenly distributed along its circumference has the highest moment of inertia among the options listed because all of its mass is located at the maximum distance (radius) from the axis. In summary, when all objects have the same mass and the same radius, the highest moment of inertia is associated with option a) "A ring about its axis perpendicular to the plane of the ring" because all of its mass is distributed at the maximum distance from the axis, resulting in the highest moment of inertia.
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