(i) A cylindrical container has area of cross section equal to 4A and it contains a non viscous liquid of density `2rho`. A wooden cylinder of cross sectional area A and length L has density `rho`. It is held vertically with its lower surface touching the liquid. It is released from this position. Assume that the depth of the container is sufficient and the cylinder does not touch the bottom.
(a) Find amplitude of oscillation of the wooden cylinder.
(b) Find time period of its oscillation.
Two cubical blocks of side length a and 2a are stuck symmetrically as shown in the figure. The combined block is floating in water with the bigger block just submerged completely. The block is pushed down a little and released. Find the time period of its oscillation. Neglect viscostiy.
