Question: An object with mass (m) and rectangular cross section (A) is floating in a liquid with mass density (ho) (Figure P1.4). Derive the governing differential

An object with mass $m$ and rectangular cross section $A$ is floating in a liquid with mass density $ho$ (Figure P1.4). Derive the governing differential equation of motion, and obtain the natural frequency of the system.

Figure P1.4

Floating object x Liquid level

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