Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 6, Problem 37P
If each gauge shows the same reading for a flow rate of 1.00 cfs, what is the diameter of the constriction?
P6.37
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A crate weighs 530 lb and is hung by three ropes attached to
a steel ring at A such that the top surface is parallel to the
xy plane. Point A is located at a height of h = 42 in above
the top of the crate directly over the geometric center of the
top surface. Use the dimensions given in the table below to
determine the tension in each of the three ropes.
2013 Michael Swanbom
cc00
BY NC SA
↑ Z
C
b
B
У
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
30 in
b
43 in
4.5 in
The tension in rope AB is 383
x lb
The tension in rope AC is 156
x lb
The tension in rope AD is 156
x lb
A block of mass m hangs from the end of bar AB that is 7.2
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end
B by cables BD and BC that connect to the xz plane at
points C and D respectively with coordinates given in the
figure. Cable BD is elastic and can be modeled as a linear
spring with a spring constant k = 400 N/m and unstretched
length of 6.34 meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
D
(c, 0, d)
(a, 0, b)
A
B
y
f
m
cc 10
BY
NC SA
2016 Eric Davishahl
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
8.1 m
b
3.3 m
с
2.7 m
d
3.9 m
e
2 m
f
5.4 m
The mass of the block is 68.8
The compressive force in bar AB is
364
× kg.
× N.
The tension in cable BC is 393
× N.
Chapter 6 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 6 - An incompressible frictionless flow field is given...Ch. 6 - A velocity field in a fluid with density of 1000...Ch. 6 - The x component of velocity in an incompressible...Ch. 6 - Consider the flow field with the velocity given by...Ch. 6 - Consider the flow field with the velocity given by...Ch. 6 - The velocity field for a plane source located...Ch. 6 - In a two-dimensional frictionless, incompressible...Ch. 6 - Consider a two-dimensional incompressible flow...Ch. 6 - An incompressible liquid with a density of 900...Ch. 6 - Consider a flow of water in pipe. What is the...
Ch. 6 - The velocity field for a plane vortex sink is...Ch. 6 - An incompressible liquid with negligible viscosity...Ch. 6 - Consider water flowing in a circular section of a...Ch. 6 - Consider a tornado as air moving in a circular...Ch. 6 - A nozzle for an incompressible, inviscid fluid of...Ch. 6 - A diffuser for an incompressible, inviscid fluid...Ch. 6 - A liquid layer separates two plane surfaces as...Ch. 6 - Consider Problem 6.15 with the nozzle directed...Ch. 6 - Consider Problem 6.16 with the diffuser directed...Ch. 6 - A rectangular computer chip floats on a thin layer...Ch. 6 - Heavy weights can be moved with relative ease on...Ch. 6 - The y component of velocity in a two-dimensional...Ch. 6 - The velocity field for a plane doublet is given in...Ch. 6 - Tomodel the velocity distribution in the curved...Ch. 6 - Repeat Example 6.1, but with the somewhat more...Ch. 6 - Using the analyses of Example 6.1 and Problem...Ch. 6 - Water flows at a speed of 25 ft/s. Calculate the...Ch. 6 - Plot the speed of air versus the dynamic pressure...Ch. 6 - Water flows in a pipeline. At a point in the line...Ch. 6 - In a pipe 0.3 m in diameter, 0.3 m3/s of water are...Ch. 6 - A jet of air from a nozzle is blown at right...Ch. 6 - The inlet contraction and test section of a...Ch. 6 - Maintenance work on high-pressure hydraulic...Ch. 6 - An open-circuit wind tunnel draws in air from the...Ch. 6 - Water is flowing. Calculate H(m) and p(kPa). P6.36Ch. 6 - If each gauge shows the same reading for a flow...Ch. 6 - Derive a relation between A1 and A2 so that for a...Ch. 6 - Water flows steadily up the vertical 1...Ch. 6 - Your car runs out of gas unexpectedly and you...Ch. 6 - A tank at a pressure of 50 kPa gage gets a pinhole...Ch. 6 - The water flow rate through the siphon is 5 L/s,...Ch. 6 - Water flows from a very large tank through a 5 cm...Ch. 6 - Consider frictionless, incompressible flow of air...Ch. 6 - A closed tank contains water with air above it....Ch. 6 - Water jets upward through a 3-in.-diameter nozzle...Ch. 6 - Calculate the rate of flow through this pipeline...Ch. 6 - A mercury barometer is carried in a car on a day...Ch. 6 - A racing car travels at 235 mph along a...Ch. 6 - The velocity field for a plane source at a...Ch. 6 - A smoothly contoured nozzle, with outlet diameter...Ch. 6 - Water flows steadily through a 3.25-in.-diameter...Ch. 6 - A flow nozzle is a device for measuring the flow...Ch. 6 - The head of water on a 50 mm diameter smooth...Ch. 6 - Water flows from one reservoir in a 200-mm pipe,...Ch. 6 - Barometric pressure is 14.0 psia. What is the...Ch. 6 - A spray system is shown in the diagram. Water is...Ch. 6 - Water flows out of a kitchen faucet of...Ch. 6 - A horizontal axisymmetric jet of air with...Ch. 6 - The water level in a large tank is maintained at...Ch. 6 - Many recreation facilities use inflatable bubble...Ch. 6 - Water flows at low speed through a circular tube...Ch. 6 - Describe the pressure distribution on the exterior...Ch. 6 - An aspirator provides suction by using a stream of...Ch. 6 - Carefully sketch the energy grade lines (EGL) and...Ch. 6 - Carefully sketch the energy grade lines (EGL) and...Ch. 6 - Water is being pumped from the lower reservoir...Ch. 6 - The turbine extracts power from the water flowing...Ch. 6 - Consider a two-dimensional fluid flow: u = ax + by...Ch. 6 - The velocity field for a two-dimensional flow is...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - The flow field for a plane source at a distance h...Ch. 6 - The stream function of a flow field is = Ax2y ...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - A flow field is characterized by the stream...Ch. 6 - The stream function of a flow field is = Ax3 ...Ch. 6 - A flow field is represented by the stream function...Ch. 6 - Consider the flow field represented by the...Ch. 6 - Show by expanding and collecting real and...Ch. 6 - Consider the flow field represented by the...Ch. 6 - An incompressible flow field is characterized by...Ch. 6 - Consider an air flow over a flat wall with an...Ch. 6 - A source with a strength of q = 3 m2/s and a sink...Ch. 6 - The velocity distribution in a two-dimensional,...Ch. 6 - Consider the flow past a circular cylinder, of...Ch. 6 - The flow in a corner with an angle can be...Ch. 6 - Consider the two-dimensional flow against a flat...Ch. 6 - A source and a sink with strengths of equal...Ch. 6 - A flow field is formed by combining a uniform flow...
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