For a thin uniform rod of length \( L \) and mass \( M \), the moment of inertia \( I_{\text{center}} \) about its center is given by:
\[ I_{\text{center}} = \frac{1}{12} M L^2 \]
Given:
\[ M = 1 \, \text{kg} \]
\[ L = 1 \, \text{m} \]
Substitute these values
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