Solution: 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 ana

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

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