A nonuniform rod lies along the x-axis with its left end at x = y = 0 . It has a total mass M , length L and a mass distribution of dM / dx = B (L2 − x2), where B is a constant to be found in your analysis. What is the rotational inertia of the rod about the y-axis, pivoting about a vertical axis through its left end?
1. 1/2 ML2
3. 1/4 ML2
4. 2/3 ML2
5. 3/5 ML2
6. 1/7 ML2
7. 1/3 ML2
8. 1/6 ML2
9. 1/5 ML2
10. 3/4 ML2
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