When the \(5.1 \mathrm{~kg}\) connecting rod of Figure P3.4 is placed in the position shown, the spring deflects \(0.5 \mathrm{~mm}\). When the end of the rod is displaced and released, the resulting period of oscillation is observed as \(0.15 \mathrm{~s}\). Determine the location of the center of mass of the connecting rod and the centroidal mass moment of inertia of the rod.

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FIGURE P3-4 20 cm k = 3 104 N/m