Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 7, Problem 7.36PP
Compute the pressure at point
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Y
F1
α
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X
F2
You and your friends are planning to move the log. The log.
needs to be moved straight in the x-axis direction and it
takes a combined force of 2.9 kN. You (F1) are able to exert
610 N at a = 32°. What magnitude (F2) and direction (B) do
you needs your friends to pull?
Your friends had to pull at:
magnitude in Newton, F2
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direction in degrees, ẞ =
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100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Chapter 7 Solutions
Applied Fluid Mechanics
Ch. 7 - A horizontal pipe carries oil with a specific...Ch. 7 - Water at 40 F is flowing downward through the...Ch. 7 - Find the volume flow rate of water exiting from...Ch. 7 - A long DN 150 Schedule 40 steel pipe discharges...Ch. 7 - Figure 7.14 shows a setup to determine the energy...Ch. 7 - A test setup to determine the energy loss as water...Ch. 7 - The setup shown in Fig. 7.16 is being used to...Ch. 7 - A pump is being used to transfer water from an...Ch. 7 - In Problem 7.815 (Fig. 7.17), if the left-hand...Ch. 7 - A commercially available sump pump is capable of...
Ch. 7 - A submersible deep-well pump delivers 745 gal/h of...Ch. 7 - In a pump test the suction pressure at the pump...Ch. 7 - The pump shown in Fig. 7.19 is delivering...Ch. 7 - The pump in Fig. 7.20 delivers water from the...Ch. 7 - Repeat Problem 7.14, but assume that the level of...Ch. 7 - Figure 7.21 shows a pump delivering 840L/min of...Ch. 7 - Figure 7.22 shows a submersible pump being used to...Ch. 7 - Figure 7.23 shows a small pump in an automatic...Ch. 7 - The water being pumped in the system shown in Fig....Ch. 7 - A manufacturer's rating for a gear pump states...Ch. 7 - The specifications for an automobile fuel pump...Ch. 7 - Figure 7.26 shows the arrangement of a circuit for...Ch. 7 - Calculate the power delivered to the hydraulic...Ch. 7 - Water flows through the turbine shown in Fig....Ch. 7 - Calculate the power delivered by the oil to the...Ch. 7 - What hp must the pump shown in Fig. 7.30 deliver...Ch. 7 - If the pump in Problem 7.26 operates with an...Ch. 7 - The system shown in Fig. 7.31 delivers 600 L/min...Ch. 7 - Kerosene (sg = 0.823 ) flows at 0.060m3/s in the...Ch. 7 - Water at 60 F flows from a large reservoir through...Ch. 7 - Figure 7.34 shows a portion of a fire protection...Ch. 7 - For the conditions of Problem 7.31 and if we...Ch. 7 - In Fig. 7.35 kerosene at 25 F is flowing at 500...Ch. 7 - For the system shown in Fig. 7.35 and analyzed in...Ch. 7 - Compute the power removed from the fluid by the...Ch. 7 - Compute the pressure at point 2 at the pump inlet.Ch. 7 - Compute the pressure at point 3 at the pump...Ch. 7 - Compute the pressure at point 4 at the press...Ch. 7 - Compute the pressure at point 5 at the press...Ch. 7 - Evaluate the suitability of the sizes for the...Ch. 7 - The portable, pressurized fuel can shown in Fig....Ch. 7 - Professor Crocker is building a cabin on a...Ch. 7 - If Professor Crocker's pump, described in Problem...Ch. 7 - The test setup in Fig. 7.39 measures the pressure...Ch. 7 - If the fluid motor in Problem 7.44 has an...Ch. 7 - A village with a need for a simple irrigation...Ch. 7 - As a member of a development team for a new jet...Ch. 7 - A fire truck utilizes its engine to drive a pump...Ch. 7 - A home has a sump pump to handle ground water from...Ch. 7 - In Problem 6.107 an initial calculation was made...Ch. 7 - A creek runs through a certain part of a campus...Ch. 7 - A hot tub is to have 40 outlets that are each 8 mm...Ch. 7 - A large chipper/shredder is to be designed for use...
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