Explanation Given: The figure is And,the water surface is at y = 1 and the fluid has density ρ = 900 kg/m 3 . Calculation: Consider the figure The objective is to calculate the fluid force on one side of plate in the given shape of region. And,the fluid has density ρ = 900 kg/m 3 . We have given y = ln x ⇒ x = e y Since, the water surface is at y = 1 and the horizontal strip of the plate at height y is at a depth of ( 1 − y ) and has a width of e − e y As shown in given figure force on one side of the plate is F = ρ g ∫ 0 1 ( 1 − y ) ( e − e y ) d y F = ρ g e ∫ 0 1 ( 1 − y ) d y − ρ g ∫ 0 1 e y ( 1 − y ) d y F = ρ g e [ y −

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 9.3, Problem 19E

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Chapter 9.3, Problem 18E

Chapter 9.3, Problem 20E

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The fluid force on one side of plate in the given shape of region

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Chapter 9 Solutions