Referring to the figure below, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes' principle).    You may assume that the buoyant force is  F2 − F1  and that the ends of the cylinder have equal areas A. Note that the volume of the cylinder (and that of the fluid it displaces) equals  (h2 − h1)A. (Let h1 be the depth of the top of the cylinder and h2 be the depth of the bottom of the cylinder.)    **Show work**

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Referring to the figure below, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes' principle). 
 
You may assume that the buoyant force is 
F2 − F1
 and that the ends of the cylinder have equal areas A. Note that the volume of the cylinder (and that of the fluid it displaces) equals 
(h2 − h1)A. (Let h1 be the depth of the top of the cylinder and h2 be the depth of the bottom of the cylinder.) 
 
**Show work**
 
Wob
FB
(a)
Free body
diagram
FB
Wobi
W₁
FB
(b)
Free body
diagram
Fa
W₁
Transcribed Image Text:Wob FB (a) Free body diagram FB Wobi W₁ FB (b) Free body diagram Fa W₁
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