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Moment of Inertia via Integration
13. Rotational Inertia & Energy / Moment of Inertia via Integration / Problem 3

The linear density of a thin bar with length l b and mass m b varies with position in accordance with the function λ(y) = ay 3, where y is the distance in meters from one end of the bar and an is a constant. Determine the relationship between the constant a and the bar's mass and length.

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