A closed cylindrical tube containing some water (not filling the entire tube) lies in a horizontal plane. If the tube is rotated about a perpendicular bisector, the moment of inertia of water about the axis __________ .

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KollegeApply · Accepted Answer

increases Moment of inertia of a mass is directly proportional to the square of the distance of mass from the axis of rotation. Therefore, we have I \propto r^2 As the tube is rotated, water is collected at the end of tube because of centrifugal force and distance from the rotation axis increases. Hence, moment of inertia increases. [Solution diagram: 67061_solution_1.png]

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