Hi everyone, I have an exercise and i don't understand something in the solution: A cylinder of diameter d ﬂoats with l of its length submerged. The total height is L. Assume no damping. At time t = 0 the cylinder is pushed down a distance B and released. What is the frequency of oscillation? The diameter of the ﬂoating cylinder is d and it has l of its length submerged in water. The volume of water displaced by the submerged part of the cylinder in equilibrium condition is πd2l/4. Let the density of water be ρ and the density of cylinder be ρcyl. Hence the mass of the cylinder is: Mcyl = ρw*Vdisplaced= ρw*πd2l/4=ρcyl*πd2L/4 Frestoring=ρw*gπd2x/4 Mcylx"=ρw*gπd2x/4 w²=ρw*gπd2/4Mcyl w²=g/l Why are they taking Vdisplaced=πd2l/4 Why /4 ??? And why l is equa to 4Mcyl/ρw*πd2 Thanks !