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Example 2 What fraction of the mass flow rate m is diverted down the plate shown below? Neglect friction between the water and the plate and the effect of gravity. Calculate the force F required to hold the plate stationary. V2 solution: V, = 30 m/s Water in the x-direction F, = M, oua – M , in m=5kg/s But F, =0 → M, cm -M in = 0 = V,m, - V,m, = V,m, -V,(m– m,) I out 45° M. X out M, in = V, cos 45m

Example 2 What fraction of the mass flow rate m is diverted down the plate shown below? Neglect friction between the water and the plate and the effect of gravity. Calculate the force F required to hold the plate stationary. V2 solution: V, = 30 m/s Water in the x-direction F, = M, oua – M , in m=5kg/s But F, =0 → M, cm -M in = 0 = V,m, - V,m, = V,m, -V,(m– m,) I out 45° M. X out M, in = V, cos 45m

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Example 2 What fraction of the mass flow rate m is diverted down the plate shown below? Neglect friction between the water and the plate and the effect of gravity. Calculate the force F required to hold the plate stationary. V2 solution: V = 30 m/s Water in the x-direction F = M - M, in out m=5kg/s But F, =0 → M, out - M, in = V,m, - V,m, = V,m, -V,(m– m,) 45° M. x out M, in = V, cos 45m
Transcribed Image Text:Example 2 What fraction of the mass flow rate m is diverted down the plate shown below? Neglect friction between the water and the plate and the effect of gravity. Calculate the force F required to hold the plate stationary. V2 solution: V = 30 m/s Water in the x-direction F = M - M, in out m=5kg/s But F, =0 → M, out - M, in = V,m, - V,m, = V,m, -V,(m– m,) 45° M. x out M, in = V, cos 45m
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