1. The problem statement, all variables and given/known data An oak block of ρ = 0.9 g/cm^3 and dimensions V = 10cm x 20cm x 20cm is floating in water of ρ0 = 1 g/cm^3. The block is slightly pushed into water and then released. Determine period, T, of oscillations. 2. Relevant equations I'm not sure how to derive the set up of the problem. That's all I need to accomplish. 3. The attempt at a solution So far, I've derived my buoyant force on the block to be B = ρgV where ρ is density of water. I think the pressure on the bottom is pressure of top + ρgh. I don't know what the top pressure is or if it matters because the variable will cancel out. I've read somewhere that period of floating object could be = 2 x pi x sqrt (mass/gρa). I just don't know how to relate everything or if I have everything. If you could help me derive the expression or relate the components that'd be great. Not looking for an answer: I don't really care what the period is, but how to relate forces and pressures to get there. Thanks.