A spring with spring constant 33 N/m is attached to the ceiling, and a 4.5 cm di

Question

A spring with spring constant 33 N/m is attached to the ceiling, and a 4.5 cm diameter, 1.5 kg metal cylinder is attached to its lower end. The cylinder is held so that the spring is neither stretched nor compressed, then a tank of water is placed underneath with the surface of the water just touching the bottom of the cylinder. When released, the cylinder will oscillate a few times but, damped by the water, quickly reach an equilibrium position. When in equilibrium, what length of the cylinder is submerged?

Explanation / Answer

let l be submerged so pi*(.045/2)^2*l*1000*g+k*l=1.5*g so l=.3 m (ans)

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