A vertical solid cylinder of uniform cross-sectional area A floats in water. The cylinder is partially submerged. When the cylinder floats at rest, a mark is aligned with the water surface. The cylinder is pushed vertically downwards so that the mark is a distance 33 below the water surface. cylinder oating cylinder pushed at rest downwards mark water surface At timet : 0 the cylinder is released. The resultant vertical force F on the cylinder is related to the displacement as of the mark by F = pAg;c where p is the density of water. 3a. Outline why the cylinder performs simple harmonic motion when [1 mark] released. 3b. The mass of the cylinder is 118 kg and the cross-sectional area of the [2 marks] cylinder is 2. 29 X 101 1112. The density of water is 1. 03 X 103 kg m'g. Show that the angular frequency of oscillation of the cylinder is about 4. 4 rad 81. The cylinder was initially pushed down a distance a: = 0.250 m. 3c. Determine the maximum kinetic energy Ekmax of the cylinder. [2 marks]