A cylindrical buoy of mass 500 kg, diameter 3m and height 2m with its axis vertical is placed in sea water as a mark in a port to allow ships to navigate safely. A flashing beacon of 55kg is also attached 2m above the top surface of the buoy (which can be modeled as a point mass). The design of the buoy failed to take into account any inhabitant sea lions that enjoy resting on the buoys in the port. Assume that the buoy can accommodate at most two sea lions each of mass 300 kg (model as a static point mass at the midpoint of the top surface of the buoy), find the metacentric height from the combined center of gravity to judge if the buoy remains stable.
A cylindrical buoy of mass 500 kg, diameter 3m and height 2m with its axis vertical...