Day 27-Oct 15-Worksheet-Diploma-Bouyancy

A solid cylinder of specific gravity 0.8 floats in water with its axis vertical. The percentage of its volume submerged is —

• 60%

• 70%

• 80%

• 90%

When a floating body is given a small angular displacement and it returns to its original position, it is said to be in —

• Unstable equilibrium

• Neutral equilibrium

• Stable equilibrium

• None of these

The metacentric height (GM) for a floating body is given by —

• GM = I / V - BG

• GM = I / W + BG

• GM = V / I - BG

• GM = W / I - BG

The time period of oscillation of a floating body is directly proportional to —

• √GM

• 1 / √GM

• GM

• GM²

A wooden cube of side 0.5 m and specific gravity = 0.6 floats in water.

Find the depth of immersion

(a)  

The centre of buoyancy is the centroid of the volume of displaced fluid.

• True

• False

Assertion (A): A ship having large metacentric height is very stable. Reason (R): Because a large metacentric height causes the ship to return quickly to its equilibrium position after tilting.

• Both A and R are true, and R is the correct explanation

• Both A and R are true, but R is not the correct explanation

• A is true but R is false

• A is false but R is true

The buoyant force acting on a submerged body is equal to the (a)  

The point through which the buoyant force acts is called the (a)   .

The metacentre is the point of intersection of the …………….. and the ………….

(a)