Fluid Mechanics: Solved Exam Problem involving Buoyancy

MEC516/BME516 Fluid Mechanics, Chapter 2 Fluid Statics: Solution to a buoyancy problem involving a floating wood rod.
Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.
#fluidmechanics #fluiddynamics

[@FluidMatters]

All the videos for this introductory Fluid Mechanics course are now available at: www.drdavidnaylor.net/

[@saqib3s]

Very well done sir. Thanks

[@spiral-dz1eq]

from 3:40 on, why didn't we use the fluid for W and the wood for Fb?

[@FluidMatters]

As shown in the free body diagram, W is the weight of the WOOD and Fb is the buoyancy force. Thus, Fb is the weight of the WATER displaced by the wood (Archimedes principle). That is why I used the specific gravity of wood for W, and the specific gravity of water for Fb. I hope that helps.

[@spiral-dz1eq]

@@FluidMatters Thank you!

[@yinshengcheng5618]

omg you are a left-hander too? Thanks for the materials though!!!

[@FluidMatters]

Ha ha. A disadvantage for hand-written solutions!

[@hawraaraheem2449]

Why u supposed that Fb in this location maybe it is in another location

[@FluidMatters]

F_b acts a the centroid of the submerged volume (half way down the submerged section of the rod) because it is the displacement of fluid that produces the buoyancy force.

[@hawraaraheem2449]

@@FluidMatters thank you for this illustration

[@Frankchouzpy]

@@FluidMatters hhh