The load over the plate varies linearly along the sides of the plate such that p = 2 3 [x(4 - y)] kPa. Determine the resultant force and its position (x, y) on the plate. p 3 m 4 m y x 8 kPa Prob. 9117
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ME 3350 Notes – Week 8 4 – Differential Form of the Conservation of Mass Principle (∆V) Consider arbitrary differentially small CV : δ ∫ ρdV+∮ρV ∙dA=0→ ∮ ρV∙dA= −δ ∫ ρdV=− δρ ∆V=− δρ = 1 ∮ ρV ∙dA δt CV CS CS δt CV δt|atsome p(x,y,z∈CV δt (x,y,z ,) ∆V CS −δρ 1 shrink as ∆V→0 : = lim ∮ ρV ∙dA δt ∆ V →0 CS lim 1 f ∙dA=∇∙ f →−δρ =∇∙ ρV )→ δρ+∇∙ ρV )=0 Divergence Theorem: ∆V → 0V CS δt δt continuity equation (most general form) δρ δ δ δ In Cartesian coordinates:
Textbook: Engineering Mechanics: Statics
Author: Russell C. Hibbeler
The full step-by-step solution to problem: 9-117 from chapter: 9 was answered by , our top Engineering and Tech solution expert on 11/10/17, 05:25PM. This full solution covers the following key subjects: plate, kpa, along, its, determine. This expansive textbook survival guide covers 11 chapters, and 1136 solutions. The answer to “The load over the plate varies linearly along the sides of the plate such that p = 2 3 [x(4 - y)] kPa. Determine the resultant force and its position (x, y) on the plate. p 3 m 4 m y x 8 kPa Prob. 9117” is broken down into a number of easy to follow steps, and 46 words. Engineering Mechanics: Statics was written by and is associated to the ISBN: 9780133918922. Since the solution to 9-117 from 9 chapter was answered, more than 353 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Engineering Mechanics: Statics, edition: 14.