Q2 The helicopter deck on a ship is attached to the hull structure through rubber mountings, which provide damping for heavy landings. The effective damping ratio is 0.68 and the stiffness of the deck is 16.6 MN/m. To land in high seas the pilot hovers directly above the deck at a height h until the motion of the ship subsides. The pilot then allows the helicopter to fall freely onto the deck. This situation is illustrated in Figure Q2. (a) If the helicopter has a mass of 11335 kg and falls from a height of 2.5 m, assuming that the helicopter remains in contact with the deck throughout the motion show that the displacement of the deck is given by [16] x(t) = 0.0067[1 - e-26.03t (cos 28.05t - 36.32 sin 28.05t)] (HINT - Consider the kinetic energy of the helicopter to determine the velocity at impact)