A thin uniform bar has a moment of inertia II about an axis perpendicular to it through its center. If both the mass and length of this bar are doubled, its moment of inertia about the same axis will be:_____.
A. 2I.
B. 4I.
C. 8I.
D. 16I.
E. I/16.

As moment of inertia for a bar is proportional to the product of its mass and the square of its length, doubling the mass will double the moment of inertia. Doubling the length will quadruple the moment of inertia. Doing both will make the moment of inertia 2(4) = 8 times larger

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A thin uniform bar has a moment of inertia II about an axis perpendicular to it through its center. If both the mass and length of this bar are doubled, its moment of inertia about the same axis will be:_____. A. 2I. B. 4I. C. 8I. D. 16I. E. I/16.

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A thin uniform bar has a moment of inertia II about an axis perpendicular to it through its center. If both the mass and length of this bar are doubled, its moment of inertia about the same axis will be:_____.
A. 2I.
B. 4I.
C. 8I.
D. 16I.
E. I/16.