Engineering
Physics
Statics
Question
The force F needed to support the liquid of density r and the vessel on top in figure is:
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Solution
The force F supports the weight of the liquid column above the base area A and the vessel's weight. The total liquid weight is density ρ times gravity g times volume. The volume is area A times height H (main column) plus area a times height h (vessel part). The force equals this total weight.
Equation:
Final answer: ρgHA + ρgha