Floating stability a$)$ Use text and a diagram to define the metacenter. b$)$ Why is it important to find the metacenter of a floating structure? c$)$ Explain how the concept of a Metacenter relates to stability. d$)$ A floating off shore wind turbine, as shown in Figure Q$1$d$,$ is being designed. It is to have a hub height of $95$m above the float, a blade diameter of $120$m$,$ mass of hub and blades of $105,000$kg$,$ mass of mast of $125,000$kg$,$ on a float $25$m x $25$m on plan and $5$m deep made from steel encased expanded foam with an average density of $500$kg$/$m$3.$ Is it stable? BM $=$ I$/$V where I $=$ bd$^3/12,$ chegg