For an unstable equilibrium of a floating body (where, M = metacentre.)

For a floating body to be in stable equilibrium, its metacentre should be

A

below the center of buoyancy

B

above the center of buoyancy

C

between e.g. and center of pressure

D

above the center of gravity.

A body floating in a liquid is said to be in neutral equilibrium, if its metacentre

A

Coincides with its centre of gravity

B

Lies above its centre of gravity

C

Lies below its centre of gravity

D

Lies between the centre of buoyancy and centre of gravity

The curve of metacentre for a floating body __________ the curve of buoyancy.

A

Is always below

B

Is the evolute of

C

Intersects at right angle

D

Is tangential to

If a body floating in a liquid occupies a new position and remains at rest in this new position, when given a small angular displacement, the body is said to be in __________ equilibrium.

A

Neutral

B

Stable

C

Unstable

D

None of these

The distance between metacentre and __________ is called metacentric height.

A

Water surface

B

Centre of gravity

C

Centre of buoyancy

D

None of these

Metacentre is the point of intersection of

A

Vertical upward force through e.g. of body and center line of body

B

Buoyant force and the center line of body

C

Midpoint between e.g. and center of buoyancy

D

All of the above

Metacentric height is the distance between the metacentre and

A

Water surface

B

Center of pressure

C

Center of gravity

D

Center of buoyancy

The conditions for the stable equilibrium of a floating body are

A

The metacentre should lie above the center of gravity

B

The center of buoyancy and the center of gravity must lie on the same vertical line

C

A righting couple should be formed

D

All the above are correct

For a floating body to be in equilibrium

A

meta center should be above e.g.

B

center of buoyancy and e.g. must lie on same vertical plane

C

a righting couple should be formed

D

all of the above

A floating body is said to be in a state of stable equilibrium

A

when its metacentric height is zero

B

when the metacentre is above the centre of gravity

C

when the metacentre is below the centre of gravity

D

only when its centre of gravity is below its centre of buoyancy

For an unstable equilibrium of a floating body (where, M = metacentre.)

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