🔍 Key Concepts

• Transverse metacentric height (GM) and how dumping weight affects KG and GM • Effect of removing liquids in tanks with free surface on the free surface correction (FSC) and corrected GM • Using the Sample Load form to find initial GM, total displacement, total moments, and new KG after a weight change

💭 Think About

• First, think about what happens to the vessel’s center of gravity (KG) when you completely remove all the liquid mud: does KG go up, go down, or stay the same? Why? • Next, consider the free surface correction: when you dump all the liquid mud, what happens to the free surface effect from those tanks—does it increase, decrease, or disappear, and how does that influence the corrected GM? • Use the Sample Load form: recalculate the new KG after removing the mud weight and its moment, then apply the updated free surface correction to get the new GM corrected for free surface and compare it to the answer choices.

✅ Before You Answer

• From the Sample Load form, identify the original GM and the original KG before dumping the mud, and the displacement (Δ). • Verify the weight and vertical center (KG) of the liquid mud from table 8 so you can remove both its weight and its moment correctly from the totals. • After you compute the new KG, make sure you apply the correct free surface correction: it should be based only on the tanks that still contain slack liquids after dumping the mud. Then compute GM(corrected) = KM − KG − FSC and compare to the options.