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Stability of floating bodies (in English)
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This lesson throws light on floating bodies.

Harshit Aggarwal
Cleared UPSC ESE twice with Rank 63 and 90 in mechanical engg. Got 99 percentile in GATE. Cracked ONGC, BHEL,ISRO, SAIL, GAIL successfully

U
Unacademy user
Great trick Sir .... very few students n teachers know about this tips 🤘🤘
Thanks a lot Rakesh, share my videos with your friends and Rate and Review
sir u r doing great work....solving questions with theory is the best revision method...v. v thnk u ..plz upload similar courses for other subject too...thnk u vry much
Harshit Aggarwal
8 months ago
Okay
Harshit Aggarwal
8 months ago
Thanks a lot
Thank you very much sir for the lectures. Please add more video as soon as possible since it is very beneficial for students who wants a quick revision of the whole subject
1. COURSE : UNDERSTANDING FLUID MECHANICS WITH QUESTIONS-(11) LESSON: STABILITY OF FLOATING BODIES

2. ABOUT ME Graduated from NIT Nagpur in 2008 Cleared Engineering Services Examination (ESE-UPSC) Exam Got the offer letter from most of the Maharatna and Navratna Companies Cleared GATE Exam Rate, Review, Recommend, Share Follow me on Unacademy at: https://unacademy.in/user/harshit aggarwal

3. QUESTION A cubical steel body [S 7.85 ] of each side 10 cm is immersed in liquid mercury.Water is added to top of solid body till submerged. Determine the following I. Depth of mercury when water is not included. 2. Depth of water

4. SOLUTION 2. Afky addin g wak ocm hr Sclic to-hw 1'X huo 13.6 x Note :When H2O is added to Hg the height of immersion decreases 4.85x 10 4.56 Co 13.6x H 5.772 cm

5. STABILITY OF FLOATING BODIES . When a body is allowed to float in liquid freely,then two forces are involved Self weight of body Buoyancy force offered by the fluid When small disturbance is applied to the body causing angular displacement about a particular point is called as Metacentre

6. STABILITY OF FLOATING BODIES B Centre of buoyancy or centre of gravity of volume of fluid displaced ois Ya Metacentre point M' is obtained by intersecting the normal axis of the body and the action line of buoyancy force. 6r H- FB

7. CONDITIONS OF EQUILIBRIUM I. STABLE EQUILIBRIUM 2. UNSTABLE EQUILIBRIUM 3. NEUTRAL EQUILIBRIUM

8. STABLE EQUILIBRIUM After the floating body disturbed and gaining its initial position without overturning is said to be in stable equilibrium. This happens due to the restoring couple of the buoyancy force against the disturbed couple formed by self weight W". nlownel It is possible if"M' is located aboveG' ie GMMetacentric Height to Ye More the metacentric height, more the stability of floating body hr FB

9. UNSTABLE EQUILIBRIUM When a floating body is disturbed and the body can't return to its original position, then the body is said to be in unstable equilibrium. The result is overturning.This happens if M is located below'G e N Nome, oris Ya H- 6 FB

10. NEUTRAL EQUILIBRIUM If M and G coincides, then metacentric height GM0, the body is said to be in neutral equilibrium It means that body will not turn, instead it moves in translational motion ( 0). et omis FB