Starting with the formula for the moment of inertia of a rod rotated around an axis through

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Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length (I = Ml2/3), prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is I = Ml2/12. You will find the graphics in Figure 10.11 useful in visualizing these rotations.1 = 1 = I= MR 1 = MR 2 Axis M( 12 Axis 2MR2 5 R Axis R Axis Axis Hoop about cylinder axis Solid cylinder (or

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