SEAM 6 - Quiz 5 (2nd Sem 2025-2026)

The initial transverse metacentre M is defined as:

• The point where weight force acts downward

• The point of intersection of successive lines of buoyancy action when heeled

• The geometric center of the waterplane area

• The highest point of the ship's structure

The vertical position of the initial transverse metacentre is expressed as:

• GM (above gravity)

• KM (above keel)

• BM (above buoyancy)

• MB (measured from buoyancy)

For small angles of heel, the initial transverse metacentre is assumed to be:

• Constantly moving with heel

• At a fixed position

• Located at the waterline

• Below the center of gravity

The metacentric radius is the distance:

• From the keel to the metacentre

• From the center of buoyancy to the metacentre

• From the center of gravity to the waterline

• From the hull to the deck

For a box-shaped vessel on even keel, KB equals:

• Half the draught

• The full draught

• One-quarter of the draught

• Twice the draught

The BM (metacentric radius) is calculated using:

• The ship's immersion depth

• The initial stability value

• The moment of inertia of the waterplane area

• The index of stability

The moment of inertia of a rectangular waterplane area is calculated as:

For a box-shaped vessel, KM is determined by:

The metacentric diagram shows the relationship between:

• Draught and beam only

• KM and draught

• Displacement and freeboard

• Weight and volume