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.