fluid Mechanics Engineering HW?

Home Work Assignment #2

Ships often have a center of mass / gravity above / higher than the centroid of

displaced volume (buoyant center), but are still designed for dynamic stability due

to hull shape design (watch video below).

A fully loaded cargo ship has a maximum metacentric height of 2ft, and a total

maximum righting moment of 100 million lbsf . The loaded ship has a total

displacement of 100,000 cubic yards (seawater ϒ=64.6 lbf / ft 3 ).

What is the maximum angular roll (side displacement) the ship can undergo?

https://www.youtube.com/watch?v=QUgXf2Rj2YQ

Show / Draw your force relationships and show all calculations:

If a 50 ton load in the ship came unsecured and shifted from the center of the

ships hold, 60 feet to the starboard side (assume this hold was at the same level

of the ships overall center of gravity), what is the overall displacement of the

center of gravity of the ship (in feet)?

Show / Draw force relationships and show all calculations: