A wooden rectangular prism of cross section \(40 \mathrm{~cm} \times 60 \mathrm{~cm}\), height \(120 \mathrm{~cm}\), and mass \(40 \mathrm{~kg}\) floats in a fluid as shown in Fig. 2.111. When disturbed, it is observed to vibrate freely with a natural period of \(0.5 \mathrm{~s}\). Determine the density of the fluid.

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T x -a- h FIGURE 2.111 Wooden prism vibrating in oil tub.