The moment of inertia of a long rod spun around an axis through one end perpendicular to its length is ML2/3. Why is this moment of inertia greater than it would be if you spun a point mass M at the location of the center of mass of the rod (at L/2)? (That would be ML2/4.)

University Physics Volume 1
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Chapter10: Fixed-axis Rotation
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Problem 17CQ: The moment of inertia of a long rod spun around an axis through one end perpendicular to its length...
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The moment of inertia of a long rod spun around an axis through one end perpendicular to its length is ML2/3. Why is this moment of inertia greater than it would be if you spun a point mass M at the location of the center of mass of the rod (at L/2)? (That would be ML2/4.)

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