A cargo of 50 tons is to be loaded on deck 20 feet from the ship's centerline. The vessel's displacement including the 50 ton cargo will be 3,000 tons and the GM three feet. What would be the list of the vessel after loading the cargo?
• Effect of off-center weights on list (transverse stability) • Relationship between displacement, GM, and heeling moment • Using tan(θ) = (heeling moment) / (Δ × GM) to estimate list angle
• How do you calculate the heeling moment created by a weight placed off the centerline? Think about weight × distance. • Once you have the heeling moment, how is it related to righting arm GZ and GM for small angles of heel? • After you compute tan(θ), what extra step do you need to take to match it to one of the answer choices given in degrees?
• Be sure you use the total displacement including the new cargo in your formula, not just the original displacement. • Double-check that the distance off centerline is used in feet and the weight in tons, staying consistent with units. • After finding tan(θ), remember to convert from radians to degrees (or use a calculator function that outputs degrees) before comparing with the choices.
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