A stream of water (p= 1000 kg/m³) enters a steady- state flow diverter shown in the figure. The water enters the device at 4 m/s at Point 1, which has a cross-sectional area of 250 cm² and an absolute pressure of P₁. The mass flow splits evenly between the exits at Point 2 and Point 3, and the speed of the fluid remains constant at 4 m/s. Points 2 and 3 are at Patm. The flow diverter is constrained by a pinned (frictionless) joint at Point A and a (frictionless) roller at Point B. The mass of the diverter including the water is 60 kg. The location of the center of mass CG and other pertinent dimensions are shown on the figure. Determine the reactions at Point A and Point B. 50° b www.dek CG 2 a = 0.5 m b = 1.0 m c = 0.4 m d = 0.2 m SETUP BUT DO NOT SOLVE. Clearly identify the unknowns and the final equations. Your answer should consist of a minimum and sufficient set of equations that could provide the answers.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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PROBLEM 1
A stream of water (p = 1000 kg/m³) enters a steady-
state flow diverter shown in the figure. The water
enters the device at 4 m/s at Point 1, which has a
cross-sectional area of 250 cm² and an absolute
pressure of P₁. The mass flow splits evenly between
the exits at Point 2 and Point 3, and the speed of the
fluid remains constant at 4 m/s. Points 2 and 3 are at
Patm.
The flow diverter is constrained by a pinned
(frictionless) joint at Point A and a (frictionless) roller
at Point B.
The mass of the diverter including the water is 60 kg.
The location of the center of mass CG and other
pertinent dimensions are shown on the figure.
Determine the reactions at Point A and Point B.
50°
CG
3
d
2
a = 0.5 m
b = 1.0 m
c = 0.4 m
d = 0.2 m
SETUP BUT DO NOT SOLVE. Clearly identify the unknowns and the final equations. Your answer
should consist of a minimum and sufficient set of equations that could provide the answers.
a
a
Transcribed Image Text:PROBLEM 1 A stream of water (p = 1000 kg/m³) enters a steady- state flow diverter shown in the figure. The water enters the device at 4 m/s at Point 1, which has a cross-sectional area of 250 cm² and an absolute pressure of P₁. The mass flow splits evenly between the exits at Point 2 and Point 3, and the speed of the fluid remains constant at 4 m/s. Points 2 and 3 are at Patm. The flow diverter is constrained by a pinned (frictionless) joint at Point A and a (frictionless) roller at Point B. The mass of the diverter including the water is 60 kg. The location of the center of mass CG and other pertinent dimensions are shown on the figure. Determine the reactions at Point A and Point B. 50° CG 3 d 2 a = 0.5 m b = 1.0 m c = 0.4 m d = 0.2 m SETUP BUT DO NOT SOLVE. Clearly identify the unknowns and the final equations. Your answer should consist of a minimum and sufficient set of equations that could provide the answers. a a
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