A submerged body is said to be in a stable equilibrium, if its centre of gravity __________ the centre of buoyancy.

If B = centre of buoyancy, G = centre of gravity, B1 = new centre of buoyancy when the floating body rotates by an angle θ, then the location of metacentre will be:

A

in between point B and B₁

B

at the point of intersection of axis of floating body passing through B and G and vertical line passing through B₁

C

at the point of intersection of axis of floating body passing through B and G and horizontal line passing through B₁

D

same as B₁

For a stable equilibrium of a submerged body (where, G and B are centres of gravity & buoyancy respectively).

A

G is above B

B

B is above G

C

B & G coincide

D

None of these

For a stable equilibrium of a submerged body (where, G and B are centres of gravity & buoyancy respectively).

A

G is above B

B

B is above G

C

B & G coincide

D

None of these

The following terms relate to floating bodies: where G = Centre of gravity, M = Meta Centre, W = Weight of floating body, FB = Buoyant force. Match List-I with List-II and select the correct answer. List-I (Condition) List-II (Result) A. G is above M 1. Stable equilibrium B. G and M coincide 2. Unstable equilibrium C. G is below M 3. Floating body D. FB ≥ W 4. Neutral equilibrium

A

A-1, B-3, C-2, D-4

B

A-3, B-1, C-4, D-2

C

A-2, B-4, C-1, D-3

D

A-2, B-3, C-4, D-1

For a floating body to be in a stable equilibrium, where G is the centre of gravity, B is the center of buoyancy and M is the metacentre, which of the following statements is true?

A

M and G coincide

B

M is below G

C

M is above G

D

M and B coincide

Consider the following statements pertaining to stability of floating bodies: 1) A floating body will be stable when the centre of gravity is above the centre of buoyancy. 2) The positions of metacentres corresponding to different axes of rotation are generally different for the same floating object. 3) For cargo ships, the metacentric height varies with loading. Which of the above statements are correct?

A

1, 2 and 3

B

1 and 2 only

C

1 and 3 only

D

2 and 3 only

A floating/submerged body is always stable, if its centre of gravity

A

Lies above its centre of buoyancy

B

And centre of buoyancy coincide

C

Lies below its centre of buoyancy

D

Lies above its meta centre

In which of the following scenarios is the centre of pressure of a submerged body equal to the distance of center of gravity of the body from free space?

A

Vertical plane surface

B

Horizontal plane surface

C

Forward inclined surface

D

Backward inclined surface

What is another name for the buoyancy force exerted by water to a submerged body?

A

Mechanical force

B

Buoyancy force

C

Frictional force

D

Pressure

In case of spherically shaped bodies of uniform mass distribution and completely immersed in fluid and floating, the centre of buoyancy coincides with centre of gravity.

A

True

B

False

A submerged body is said to be in a stable equilibrium, if its centre of gravity __________ the centre of buoyancy.

Related Questions