The moment of inertia depends on both the mass and the distance of the mass to t

Question

The moment of inertia depends on both the mass and the distance of the mass to the rotation axis. Look at the figure at left. How would you rank the moments of inertia about axis #1 (through the center of the hoop, perpendicular to the plane of the hoop), about axis #2 (parallel to axis #1, at the edge of the hoop) and about axis #3 (perpendicular to axis #1, along a diameter of the hoop)? Hint: think about how far each mass element ?mi is from the axis, and how that distance compares to the distance from axis

#1. The moment of inertia about axis #1 is ---Select--- less than equal to greater than the moment of inertia about axis

#2. The moment of inertia about axis #1 is ---Select--- less than equal to greater than the moment of inertia about axis #3.

The moment of inertia about axis #2 is ---Select--- less than equal to greater than the moment of inertia about axis #3.

Explanation / Answer

mr^2, 2mr^2,0.5mr^2

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