Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length $(I = M l^{2} / 3)$ , prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is $I = M l^{2} / 12$ . You will find the graphics in Figure 10.12 useful in visualizing these rotations.

Question

Chapter 10, Problem 18PE, Starting with the formula for the moment of inertia of a rod rotated around an axis through one end

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Physics: Principles with Applications

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