All Courses
Get the App Signup / Login
Sign in Open App
Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Fluid Mechanics for Mechanical Engineering  >  Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Mechanical Engineering MCQ

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Mechanical Engineering MCQ


Test Description

10 Questions MCQ Test Fluid Mechanics for Mechanical Engineering - Test: Conditions of Equilibrium of a Floating & Submerged Bodies

Test: Conditions of Equilibrium of a Floating & Submerged Bodies for Mechanical Engineering 2024 is part of Fluid Mechanics for Mechanical Engineering preparation. The Test: Conditions of Equilibrium of a Floating & Submerged Bodies questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Conditions of Equilibrium of a Floating & Submerged Bodies MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Conditions of Equilibrium of a Floating & Submerged Bodies below.
Solutions of Test: Conditions of Equilibrium of a Floating & Submerged Bodies questions in English are available as part of our Fluid Mechanics for Mechanical Engineering for Mechanical Engineering & Test: Conditions of Equilibrium of a Floating & Submerged Bodies solutions in Hindi for Fluid Mechanics for Mechanical Engineering course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Test: Conditions of Equilibrium of a Floating & Submerged Bodies | 10 questions in 25 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study Fluid Mechanics for Mechanical Engineering for Mechanical Engineering Exam | Download free PDF with solutions
Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 1
Save

A solid cylinder of diameter 5.0 m has a height of 6.0 m. Find the meta-centric height of the cylinder if the specific gravity of the material of cylinder 0.45 and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.

Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 1

Explanation: BG=Centre of pontoon – Centre of immersed portion=0.3-0.45*0.3=1.65
Metacentric height=I/∀ -BG
I=π*r⁴=π*2.5⁴
∀=π*r*r*h=π*2.5*2.5*6
Metacentric height=-0.61.

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 2
Save

A solid cylinder of 15 cm diameter and 40 cm long, consists of two parts made of different materials. The first part at the base is 1.5 cm long and of specific gravity=6.5. The other part of the cylinder is made of the material having specific gravity 0.75. State, if the it can float vertically in water.

Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 2

Explanation: AG=(weight of base*distance of C.G from base point A) + (weight of upper part*distance of C.G from point A)/ )weight of base + weight of upper part)
= 14.52
By principle of buoyancy,
Weight of cylinder = Weight of water displaced
h=38.625
AB=19.31
BG=14.25-19.31= -4.79
GM= Metacentric height=I/∀ -BG
= 6.16
As metacentric height is positive, it will float.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 3
Save

A wooden cylinder of sp.gr. = 0.6 and circular in cross-section is required to float in oil(sp.gr. = 0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, where L is the height of cylinder and D is its diameter.

Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 3

Explanation: By principle of buoyancy,
Weight of cylinder = Weight of water displaced
h=2L/3
AG=L/2
AB=L/3
BG=AG-AB=L/6
GM= Metacentric height=I/∀ – BG=3D2/32L-L/6

For stable equilibrium, GM should be positive
GM>0
i.e L/D<3/4.

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 4
Save

A cylinder(uniform density distribution) of radius 3.0 m has a height of 9.0 m. The specific gravity of the material of cylinder 0.85 and it is floating in water with its axis vertical. State whether the equilibrium is stable or unstable.
Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 4

Explanation: BG=Centre of pontoon – Centre of immersed portion=0.3-0.45*0.3=1.65
Metacentric height=I/∀ -BG
I=π*r⁴=π*3⁴
∀=π*r*r*h=π*3*3*9
Metacentric height=0.325.

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 5
Save

 If the magnitude of dimension of a rectangular wooden block is length>breadth>height, then for it to float on the water, it should be immersed in what manner?
Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 5

When it is immersed in such a manner where height is partially immersed, its stability is most as moment of inertia is most about that axis.

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 6
Save

 When body is completely or partially immersed in a fluid, how much its weight be distributed for it to be in stable equilibrium.
Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 6

Explanation: When the weight distribution is around the lower part, the centre of gravity is at lower portion and hence below the centre of buoyancy which is condition for stable equilibrium.

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 7
Save

In unstable equilibrium what is the relation between forces?
Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 7

Explanation: Fb=W and the the centre of buoyancy is below the centre of gravity.

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 8
Save

 The floating body is said to be in unstable equilibrium if the metacentre is below the centre of gravity.
Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 8

For a floating body

Metacentre above centre of gravity→ Stable Equilibrium

Metacentre coincides centre of gravity→ Neutral Equilibrium

Metacentre below centre of gravity→ Unstable Equilibrium

For a submerged body

Centre of buoyancy above centre of gravity→ Stable Equilibrium

Centre of buoyancy coincides centre of gravity→ Neutral Equilibrium

Centre of buoyancy below centre of gravity→ Unstable Equilibrium

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 9
Save

 The floating body is said to be in neutraL equilibrium if the metacentre is above the centre of gravity.
Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 9

Explanation: The floating body is said to be in unstable equilibrium if the metacentre coincides with the centre of gravity.

Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 10
Save

In stable equilibrium for completely submerged bodies what is the relation between forces?
Detailed Solution for Test: Conditions of Equilibrium of a Floating & Submerged Bodies - Question 10

Explanation: Fb=W and the the centre of buoyancy is above the centre of gravity.

56 videos|104 docs|75 tests
Join Course
Information about Test: Conditions of Equilibrium of a Floating & Submerged Bodies Page
In this test you can find the Exam questions for Test: Conditions of Equilibrium of a Floating & Submerged Bodies solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Conditions of Equilibrium of a Floating & Submerged Bodies, EduRev gives you an ample number of Online tests for practice

Top Courses for Mechanical Engineering

Download as PDF

Top Courses for Mechanical Engineering

Important Questions for Conditions of Equilibrium of a Floating & Submerged Bodies

Find all the important questions for Conditions of Equilibrium of a Floating & Submerged Bodies at EduRev.Get fully prepared for Conditions of Equilibrium of a Floating & Submerged Bodies with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Conditions of Equilibrium of a Floating & Submerged Bodies syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Conditions of Equilibrium of a Floating & Submerged Bodies resources.

Conditions of Equilibrium of a Floating & Submerged Bodies MCQs with Answers

Prepare for the Conditions of Equilibrium of a Floating & Submerged Bodies within the Mechanical Engineering exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Conditions of Equilibrium of a Floating & Submerged Bodies Fluid Mechanics for Mechanical Engineering

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Conditions of Equilibrium of a Floating & Submerged Bodies with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily