For a given displacement, the righting arm...

Question 1 / 2707066636eec28f7522a1c51c41a

Question 1 of 2707066636eec28f7522a1c51c41a

For a given displacement, the righting arm has its maximum value when __________.

Question 1 of 27070

For a given displacement, the righting arm has its maximum value when __________.

🔍 Key Concepts

• Righting arm (GZ) and how it relates to the location of G (center of gravity) • Effect of lowering KG (height of the center of gravity) on vessel stability and GZ curve • Difference between initial (small-angle) stability and stability at larger angles of heel

💭 Think About

• Think about how moving the ship’s center of gravity up or down changes the leverage (GZ) that tends to right the ship for all angles of heel. • Consider whether the maximum righting arm depends more on the vertical distance between G and M, or on the heel angle itself. • Ask yourself: does small-angle stability necessarily correspond to the point of maximum righting arm, or is that only the behavior very close to upright?

✅ Before You Answer

• Verify how GZ is calculated from the stability triangle and how it depends on KG and KM at a given heel angle. • Check how lowering KG shifts the entire GZ curve and especially its maximum value (peak of the curve). • Confirm whether increasing the angle of heel indefinitely always increases GZ, or whether the GZ curve reaches a peak and then decreases.

Question 1 of 27070

For a given displacement, the righting arm has its maximum value when __________.

KM is a minimum

KG is minimum

small-angle stability applies

angle of inclination is a maximum