In the DEEP DRILLER, LCG is obtained from...

🔍 Key Concepts

• Longitudinal Center of Gravity (LCG) definition and how it is calculated from individual weights and their longitudinal distances • Relationship between moment, weight (displacement), and center of gravity location in stability problems • Difference between free surface correction and the basic calculation of centers of gravity

💭 Think About

• When you have the sum of longitudinal moments, what variable would you combine it with to end up with a distance (like LCG) instead of a force or a moment? • Think about the standard formula used for centers of gravity: how do you get G’s position from the sum of (weight × distance)? • Is free surface correction normally applied directly to the LCG calculation, or is it primarily associated with transverse stability (like GM)?

✅ Before You Answer

• Confirm that moment units (e.g., ton-meters) divided or multiplied by displacement (tons) produce the correct unit for distance (meters) for LCG. • Verify how naval architecture textbooks express LCG: typically as

\text{LCG} = \frac{\sum (w \times x)}{\sum w}

. • Check whether free surface correction changes the position of G directly in the longitudinal direction or mainly affects metacentric height (GM) in the transverse direction.

In the DEEP DRILLER, LCG is obtained from the sum of the longitudinal moments by __________.

dividing by displacement

multiplying by displacement

adding the free surface correction

subtracting the free surface correction

🔍 Key Concepts

💭 Think About

✅ Before You Answer

\text{LCG} = \frac{\sum (w \times x)}{\sum w}

. • Check whether free surface correction changes the position of G directly in the longitudinal direction or mainly affects metacentric height (GM) in the transverse direction.