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Test: Buoyancy & Floatation - 2


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10 Questions MCQ Test Fluid Mechanics | Test: Buoyancy & Floatation - 2

Test: Buoyancy & Floatation - 2 for Mechanical Engineering 2022 is part of Fluid Mechanics preparation. The Test: Buoyancy & Floatation - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Buoyancy & Floatation - 2 MCQs are made for Mechanical Engineering 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Buoyancy & Floatation - 2 below.
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Test: Buoyancy & Floatation - 2 - Question 1

When a body, floating in a liquid is given a small angular displacement, it starts oscillating about a point known as

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 1


Where M is metacentre and θ is small angle of hill through which a body is tilted.
Hence metacenter is a point about which a body oscillate when tilted or given a small angular displacement.

Test: Buoyancy & Floatation - 2 - Question 2

The time of oscillation of a floating body is given by
Where
K = Radius of Gyration of the floating body about its centre of gravity
h = Metacentric height of the floating body

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 2

Time of oscillation of a floating body is

K = radius of gyration
h = metracentric height

Test: Buoyancy & Floatation - 2 - Question 3

The time of oscillation of a floating body with increase in metacentric height will be

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 3

Time of oscillation


as h increases, time of oscillation decreases

Test: Buoyancy & Floatation - 2 - Question 4

A floating body is in stable equilibrium when

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 4

For stable equilibrium 

Test: Buoyancy & Floatation - 2 - Question 5

A submerged body will be in stable equillibrium. if

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 5

For stable equilibrium of submerged body:

Hence for stable equilibrium of submerged body centre of buoyancy B should be above G.

Test: Buoyancy & Floatation - 2 - Question 6

Which one of the following is the conditions for stable equilibrium for a floating body

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 6

For stable equilibrium

For stable equilibrium metacenter is above the center of gravity.

Test: Buoyancy & Floatation - 2 - Question 7

How is the metacentric height (GM) expressed
Where I = Moment of inertia of the plan of the floating body at the water surface
V = Volume of the body submerged in water
BG = Distance between the center of gravity (G) and the center of Buoyancy (B)

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 7


Metacentric height,
GM = BM - BG

Where I = Area moment of inertia of top view about longitudinal axis
V = Volume of the fluid displaced
Hence,

Test: Buoyancy & Floatation - 2 - Question 8

An odd shaped body weighing 7.5 kg and occupying 0.01 m3 volume wiil be completely submerged in a fluid having specific gravity of

Test: Buoyancy & Floatation - 2 - Question 9

A cylindrical body of cross-sectional area A height H and density ρs is immersed to a depth h in a liquid of density ρ and tied down to bottom with a string then the tension in the string is

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 9

w + T =  FB = weight of fluid displaced 

Test: Buoyancy & Floatation - 2 - Question 10

A float valve of the ‘ball-cock’ type required to close an opening of a supply pipe feeding a cistern as shown in the given figure

The buoyant force FB required to be exerted by the float to keep the valve closed against a pressure of 0.28 N/mm2 is

Detailed Solution for Test: Buoyancy & Floatation - 2 - Question 10

Taking moment about hinge We get

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