A block of wood floats in water in the stable equilibrium position shown. The block is displaced slightly in the vertical direction and released. Derive the differential equation of motion, and show that the motion of the block is simple harmonic. Find the period, knowing that the densities of wood and water are 600 kg/m3 and 1000 kg/m3, respectively. A block of wood floats in water in the stableequilibrium position shown. The block is displacedslightly in the vertical direction and released. Derivethe differential equation of motion, and show thatthe motion of the block is simple harmonic. Find theperiod, knowing that the densities of wood andwater are 600 kg/m3 and 1000 kg/m3, respectively.150 mm

Given: The Weight of the water displaced will be:

Answered: A block of wood floats in water in the…

A block of wood floats in water in the stable equilibrium position shown. The block is displaced slightly in the vertical direction and released. Derive

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Question

A block of wood floats in water in the stable equilibrium position shown. The block is displaced slightly in the vertical direction and released. Derive the differential equation of motion, and show that the motion of the block is simple harmonic. Find the period, knowing that the densities of wood and water are 600 kg/m3 and 1000 kg/m3, respectively.