WorksheetsSEAM 6 - Quiz 4 (2nd Sem 2025-2026)
Total questions: 70
Worksheet time: 35mins
Centre of gravity G of a ship is defined as:
The point where the total weight force acts vertically downward
The point of maximum buoyancy underwater
The geometric center of the ship's hull
The point where cargo is concentrated
The vertical position of the centre of gravity is expressed in terms of:
Metres above the deck
Metres above the keel (KG)
Metres above the waterline
Metres from the bow
When a weight is shifted vertically upward on a ship, the centre of gravity:
Moves downward
Remains stationary
Moves upward
Moves horizontally only
The shift of centre of gravity when a weight is shifted is calculated using:
GGv=Ww×d
GGv=w×dW
GGv=W+wd
GGv=dW+w
When loading a weight below the ship's centre of gravity, the KG will:
Increase significantly
Decrease
Remain unchanged
Move horizontally
When loading a weight above the ship's centre of gravity, the KG will:
Decrease
Increase
Remain constant
Oscillate
When discharging a weight from above the centre of gravity, the KG will:
Increase
Decrease
Move laterally
Become zero
The centre of buoyancy B is defined as:
The highest point of the underwater hull
The geometric center of the underwater volume
The lowest point of the keel
The intersection of the waterline and centerline
The vertical position of the centre of buoyancy is expressed as:
BG (above gravity)
KB (above keel)
BK (below keel)
GK (from gravity)
The centre of buoyancy moves primarily due to:
Loading and discharging cargo
Changes in ship's displacement and draught
Movement of crew members
Changes in water temperature
For a box-shaped vessel on even keel, KB equals:
Draught
Half the draught
Twice the draught
One-third of the draught
When calculating the effect of multiple weight movements, the preferred method uses:
Individual formulas for each weight
Moments about the keel approach
Simple addition of displacements
Only the heaviest weight
Transverse statical stability refers to:
A ship's ability to resist sideways motion
A ship's ability to return to upright after heeling by an external force
A ship's ability to maintain trim
A ship's resistance to capsizing
The righting lever (GZ) is the:
Perpendicular distance between weight and buoyancy forces when heeled
Distance from keel to center of gravity
Horizontal distance along the waterline
Vertical component of displacement
The righting moment is calculated by:
RM=GZ×Displacement
RM=GM×Displacement
RM=KG×Displacement
RM=KB×Displacement
For small angles of heel, the righting lever can be approximated by:
GZ=GM×tanθ
GZ=GM×sinθ
GZ=GM×cosθ
GZ=GM÷sinθ
The initial transverse metacentre M is defined as:
The center of gravity of the ship
The point of intersection of successive lines of buoyancy action when heeled
The geometric center of the waterplane
The highest point on the deck
The vertical distance from the keel to the initial metacentre is termed:
GB
GM
KM
BM
Metacentric height (GM) is calculated as:
GM=KG−KM
GM=KM−KB
GM=KM−KG
GM=KB+KG
A ship with a positive GM will:
Automatically sink
Be in a stable condition
Trim by the stern
Develop a permanent list
According to IMO criteria, the minimum initial metacentric height in normal loaded condition should be:
Exactly 0.10 m
At least 0.15 m
No less than 0.20 m
Not more than 0.30 m
As a ship heels to larger angles, the initial transverse metacentre:
Remains at a fixed position
Moves along with the center of gravity
Moves as the underwater form changes
Disappears from the calculation
The curve of statical stability (GZ curve) represents:
Only the ship's weight distribution
Righting levers at various angles of heel
The ship's forward motion
The waterline change with draught
At zero heel, the righting lever GZ equals:
GM
Zero
KM
KG
A ship is in a STABLE condition when:
It heels and remains at an angle
It returns to upright after being heeled by an external force
The centre of gravity equals the centre of buoyancy
It has zero metacentric height
For a stable condition to exist, the relationship between G, M, and B must be:
G above M
M above G
B above G
G equals M
A ship is in a NEUTRAL condition of stability when:
KM>KG with positive GM
KM=KG with zero GM
KM<KG with negative GM
G is below K
In neutral stability, if a ship is heeled to a small angle and released:
It returns immediately to upright
It settles at an indeterminate angle of heel
It continues to heel over
It oscillates rapidly
An UNSTABLE condition exists when:
M is above G (positive GM)
M is below G (negative GM)
G equals the center of buoyancy
The ship has excessive freeboard
The angle of loll is defined as:
The angle at which the ship capsizes
The angle at which the ship begins to heel
The angle at which a heeling ship with negative GM comes to rest
The angle of maximum stability
At the angle of loll, the righting lever GZ equals:
Maximum value
Zero
A negative value
Infinity
A ship with an angle of loll is considered:
Adequately stable
In an unstable equilibrium with negative GM
Fully seaworthy
Trimmed by the stern
A ship lying at the angle of loll presents a dangerous situation because:
The crew cannot move freely
Cargo is unlikely to shift
Wind or waves could cause it to roll over with momentum
The ship is very slow
The relationship between G, B, and M in a stable condition is:
G is above both B and M
B is above G which is above M
M is above G which is above B
They all occupy the same point
For a ship floating upright, when will negative GM occur?
When KG is less than KB
When KG is greater than KM
When KG equals KB
When KG equals half the draught
The condition that must be satisfied for stable equilibrium is:
G and B on the same vertical line
G directly below M
M directly below G
M directly above G
A ship in neutral stability has:
Positive righting lever at all angles
No righting lever at small angles but develops one at larger angles
Negative righting lever at all angles
Maximum stability
As a ship with negative GM heels further, which occurs?
GZ values become more negative
The center of buoyancy moves further inboard
The center of buoyancy eventually moves outboard to create positive GZ
The righting moment increases
The critical condition for a stable ship occurs at:
Maximum angle of heel
The waterline
The angle of heel where GZ is maximum
The ship's centerline
A ship's transverse statical stability is most directly influenced by:
The ship's length only
The relative positions of G and M
The cargo weight only
The ship's speed
The position of centre of gravity G is critical because:
It determines the ship's speed
It is the most influential factor in determining stability
It cannot be changed during loading
It equals the centre of buoyancy
When a weight is shifted on board, G moves:
In the opposite direction to the weight
Parallel to and in the same direction as the weight
Perpendicular to the weight's path
In a fixed direction only
The initial transverse metacentre M is important because it:
Represents the centre of gravity
Indicates the stability of the ship at small angles
Determines the ship's maximum speed
Controls cargo movement
For a ship with GM = 0, when heeled and released:
It returns to upright immediately
It settles at an indeterminate angle
It continues to heel indefinitely
It oscillates continuously
The relationship between KG and KM determines:
The ship's trim condition
Whether the ship is stable or unstable
The ship's speed capability
The cargo capacity
When loading cargo low in the ship, the effect on stability is to:
Reduce GM and increase stability
Increase GM and increase stability
Reduce GM and reduce stability
Have no effect on stability
The vertical movement of centre of gravity when loading a weight is independent of:
The weight of the item loaded
The position of the loaded weight
The ship's initial displacement
The colour of the cargo
A ship with positive GM but very small value would have:
Excellent stability
Marginal stability and could become unstable easily
Neutral stability
No stability
The centre of buoyancy constantly moves as the ship heels because:
The keel breaks apart
The underwater volume changes shape
The cargo shifts
The center of gravity moves
Understanding stability conditions is essential for officers to:
Navigate faster
Calculate fuel consumption
Ensure safe loading and seaworthiness
Determine cargo weight
The shift of centre of gravity formula (GGy = w × d / W) demonstrates:
Stability is independent of weight movements
G moves in proportion to weight times distance divided by total displacement
Only heavy items affect stability
Light items have no effect on G
A ship becomes unstable primarily when:
It loads cargo in the hold
The centre of gravity rises too high
It ballasts the lower tanks
It reduces draught
The significance of the righting moment in stability is that it:
Measures ship's speed
Represents the force attempting to return ship to upright
Calculates cargo weight limits
Determines the ship's length
The angle of loll represents a critical point where:
The ship is most stable
The ship has zero GZ despite heeling
The righting moment is maximum
The crew is safest
Multiple weight movements must be calculated together because:
Each weight has no individual effect
The cumulative effect on G position is what matters
They cancel each other out
Only the largest weight matters
The fundamental principle connecting G and stability is that:
G position is irrelevant to stability
Higher G always means better stability
G position is the most influential factor on stability
G never moves on a loaded ship
When a ship heels and the buoyancy force's line of action passes through M, this indicates:
The ship is at maximum speed
The ship is at the angle of loll
The ship has positive stability at that angle
The ship will capsize
The concept of "initial" metacentre applies because:
It is only relevant at zero heel
It remains fixed only for small angles of heel
It is calculated at the start of loading
It indicates the first weight loaded
The relationship between KB and KM demonstrates that:
They are always equal
KM depends on both KB and BM
Only KB affects stability
KM is independent of ship form
A ship with zero GM but external force applied will:
Definitely capsize
Settle at an indeterminate angle when force is removed
Return immediately to upright
Maintain its position
The effect of shifting weight vertically upward is equivalent to:
Discharging weight from the ship
Loading weight at a higher position
Raising the centre of gravity
Lowering the metacentre
The critical nature of negative GM lies in:
It indicates the ship is still stable
It means the ship will not remain upright
The ship will immediately capsize
It has no effect on ship behavior
In a neutral stability condition, the horizontal separation between weight and buoyancy force lines indicates:
The ship will heel further
No righting moment exists at small angles
Maximum stability has been achieved
The ship is in danger of capsizing
The practical significance of understanding transverse statical stability is:
To calculate fuel efficiency
To ensure safe loading and adequate seaworthiness
To determine maximum speed
To calculate cargo value
When centre of gravity is above the metacentre, the mathematical consequence is:
GM equals BM
GM becomes negative
GM equals KB
GM cannot be calculated
The relationship between KG movements and stability changes shows that:
Small changes in KG have no effect
KG changes directly affect the GZ values
The angle of loll phenomenon demonstrates that:
All unstable ships will capsize
A ship with negative GM can achieve equilibrium at an angle
Stability improves with greater heel
Centre of buoyancy becomes fixed
The accumulative effect of multiple weight shifts is best determined by:
Adding individual GGy values
Using the moments method about the keel
Only considering the first weight moved
Ignoring small movements
The interrelationship between G, B, M, and the stability conditions shows:
These points are independent
Their relative positions completely determine stability
Only G position matters
They move together as one unit
Understanding conditions of stability is fundamental for officers because:
It improves navigation only
It prevents loading errors and ensures ship safety
It increases cargo capacity
It reduces operational costs only
