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A cylinder of mass M, radius r and height h, suspended by a spring of constant k whose upper end is fixed, is immersed in a liquid of density p. In equilibrium, the cylinder is submerged half its height. At a certain time, the cylinder sinks to 2/3 of its height and then from rest it begins its vertical movement. Find the equation of motion of the cylinder relative to the equilibrium position x = coswt, w = (k + rpgr²)/M ans.

A cylinder of mass M, radius r and height h, suspended by a spring of constant k whose upper end is fixed, is immersed in a liquid of density p. In equilibrium, the cylinder is submerged half its height. At a certain time, the cylinder sinks to 2/3 of its height and then from rest it begins its vertical movement. Find the equation of motion of the cylinder relative to the equilibrium position x = coswt, w = (k + rpgr²)/M ans.

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A cylinder of mass M, radius r and height h, suspended by a spring of constant k whose upper end is fixed, is immersed in a liquid of density p. In equilibrium, the cylinder is submerged half its height. At a certain time, the cylinder sinks to 2/3 of its height and then from rest it begins its vertical movement. Find the equation of motion of the cylinder relative to the equilibrium position x = coswt, w = (k + npgr²)/M ans.
Transcribed Image Text:A cylinder of mass M, radius r and height h, suspended by a spring of constant k whose upper end is fixed, is immersed in a liquid of density p. In equilibrium, the cylinder is submerged half its height. At a certain time, the cylinder sinks to 2/3 of its height and then from rest it begins its vertical movement. Find the equation of motion of the cylinder relative to the equilibrium position x = coswt, w = (k + npgr²)/M ans.
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