A solid cylinder floating in equilibrium in a liquid of specific gravity \(\gamma\) is depressed slightly and released. A schematic is shown in Figure 2.50. Find the equilibrium position and solve for the natural frequency of oscillation assuming the cylinder remains upright at all times. Suppose the assumption that the cylinder remains upright is not reasonable. Then what difficulties do you foresee in the calculations, and how might they be resolved?

Transcribed Image Text:

h r x Figure 2.50: Solid body oscillating in a liquid.