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Problem 3.55 - Problem 3.55 Given Geometry of cup...

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Problem 3.55 [Difficulty: 1] Given: Geometry of cup Find: Force on each half of cup Assumptions: (1) Tea is static and incompressible (2) Atmospheric pressure on outside of cup Solution: Basic equation F R A p d = dp dh ρ g = or, use computing equation F R p c A = The force on the half-cup is the same as that on a rectangle of size h 8 cm = and w 6.5 cm = F R A p d = A ρ g y d = but dA w dy = Hence F R 0 h y ρ g y w d = ρ g w h 2 2 = Alternatively F R p c A = and F
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