Question

h 10 cm Consider a large cylinder of ice, Pice shown in the figure. 920 k9/,.3, floating on seawater, Pvater 1000 k9/ as 3, as If a 10 cm portion of the ice extends above the water, what is the height of the ice below the surface, H? (5 points) What is the distance CG from the center of mass of the ice cylinder to the centroid of displaced volume? (5 points) a. b. c. In terms of the diameter, d, what is the distance CM from the metacenter to the centroid of displaced volume? (5 points) In terms of the diameter, d, what is the metacentric height GM of the ice cylinder? (5 points) What is the minimum diameter for the ice cylinder to be stable? (5 points) d. e.

Answer 1

prom above data may of ice mass of water 920 times 4 times (H + h) = 1000 times 4 times H H + h/H = 1000/920 1 + 10/H = 1000/920 H = 115 cm distance = H + h/2 - H/2 h/2 = 5 cm CM - d^2/16 H CM - d^2/1840 Gm = CM - CG GM = d^2/164 - h/2 GM = d^2/1840 - 5 For stable GM > 0 d^2/1840 - 5 > 0 d greaterthanorequalto 95.91 cm = 95.91 almostequalto 96 cm