As shown in the figure below, the rotational inertia of a thin rod that rotates about axis through its center perpendicular to length is \(\displaystyle I=\frac{1}{12}ML^2,\) where \(M\) and \(L\) are the mass and length of the thin rod, respectively.

As shown in the figure below, the rotational inertia of a thin rod that rotates about the axis through its center perpendicular to length is \(\displaystyle I=\frac{1}{12}ML^2,\) where \(M\) and \(L\) are the mass and length of the thin rod, respectively.

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