The SS AMERICAN MARINER is ready to sail with the load shown in table ST-0185 below. Use the white pages of The Stability Data Reference Book to determine the available GM.
⢠Use the white pages hydrostatic data for SS AMERICAN MARINER to get displacement and KM for the loaded draft that matches this deadweight condition. ⢠Compute the combined vertical center of gravity (KG) of all added weights by using moments: tons Ć KG, then add to lightship KG from the book. ⢠Apply the free surface correction (FSC) using the given total free surface moments and the shipās displacement, then find available GM = KM ā (KG + FSC).
⢠First, what total deadweight (sum of all listed tons) do you get, and when you add that to lightship displacement in the book, which displacement/ draft column in the hydrostatic tables does it match best? ⢠After you find the new combined KG from lightship plus all weights, how does adding free surface moments change the effective KG (does it go up or down, and why)? ⢠Once you have KM from the tables and the corrected KG (including free surface), which choice best matches KM ā KG? Are any options clearly too small or too large compared with your intermediate values?
⢠Be sure you are using moments about the keel (K), not about the centerline or another reference, and keep units consistent (ft-tons). ⢠Verify that the total displacement you use for free surface correction is the same displacement used to obtain KM from the tables. ⢠Doubleācheck that you add the free surface correction to KG (raising it) rather than subtracting it, before computing GM.
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