A cylindrical cork (area A. length L. density pc) is oating in a liquid of density pw with only a part of its length L submerged in the liquid. Ifthe cork is pushed down by a small distance xo and then let go, the cork starts bobbing up and down in a simple harmonic motion. We wish to nd the frequency f at which the cork is moving up and down. :I (1' Let d be the depth ofthe cork at a certain time I [see gure] and let do be the depth when the cork is in equilibrium (Le. not bobbing]. [a] Draw a free body diagram of the cork when it's momentarily at a depth of d