A cylinder shaped buoy is stationary out on a lake. The height of the buoy is 1 m and the diameter is 30 cm and it‘s mass is 50 kg. Now a whale swims under the buoy and hit it. The buoy raises up and begins to oscillate. a) Find the total force on the buoy if the displacement from the start is x and make a derivative equation that describes the oscillation. b) If the initial displacement of the buoy was 10 cm, find the amplitude, angular frequency ω and sketch x(t).

Question

A cylinder shaped buoy is stationary out on a lake. The height of the buoy is 1 m and the diameter is 30 cm and it‘s mass is 50 kg. Now a whale swims under the buoy and  hit it. The buoy raises up and begins to oscillate. a) Find the total force on the buoy if  the displacement  from the start is x and make a derivative equation that describes the oscillation. b) If the initial displacement of the buoy was 10 cm, find the amplitude, angular frequency ω and sketch x(t).