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If the distances of the center of mass from the sides follow the relationship xBC > xAB > xAC, what can be inferred about the moments of inertia?

1. IBC is greater than IAB, which is greater than IAC.
2. IAB is greater than IBC, which is greater than IAC.
3. IAC is greater than IAB, which is greater than IBC.
4. IBC is greater than IAC, which is greater than IAB.

Correct answer: IBC is greater than IAB, which is greater than IAC.

Solution

The moment of inertia (I) depends on the square of the distance from the axis of rotation. Since xBC > xAB > xAC, the corresponding moments of inertia will follow the same order: IBC > IAB > IAC.

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