DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Textbook Question
Chapter 36, Problem 77RQ
What techniques can be used to constrict the arc in plasma arc cutting, producing a narrower, more controlled cut?
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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.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 36 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 36 - What is the principal fuel gas used in oxyfuel-gas...Ch. 36 - Why does an oxyfuel-gas welding torch usually have...Ch. 36 - What is the location of the maximum temperature in...Ch. 36 - What function or functions are performed by the...Ch. 36 - What three types of flames can be produced by...Ch. 36 - Which type of oxyfuel flame is most commonly used?Ch. 36 - What are some of the alternative fuels (other than...Ch. 36 - Why might a welder want to change the tip size (or...Ch. 36 - What is filler metal, and why might it be needed...Ch. 36 - What is the role of a welding flux?
Ch. 36 - Oxyfuel-gas welding has a low rate of heat input....Ch. 36 - For what types of applications is ox\fuel-gas...Ch. 36 - What are some of the more attractive features of...Ch. 36 - How does pressure gas welding differ from the...Ch. 36 - In what way does the torch cutting of ferrous...Ch. 36 - Why might it be possible to use only an oxygen...Ch. 36 - How does an oxyacetylene cutting torch differ from...Ch. 36 - What are some of the ways in which cutting torches...Ch. 36 - When might stack cutting be an attractive process?Ch. 36 - What modification must be incorporated into a...Ch. 36 - If a curved plate is to be straightened by flame...Ch. 36 - Why does the flame-straightening process not work...Ch. 36 - What sorts of problems plagued early attempts to...Ch. 36 - What are the three basic types of current and...Ch. 36 - What is the attractive feature of variable...Ch. 36 - What is the difference between a consumable and...Ch. 36 - What are the three types of metal transfer that...Ch. 36 - What are some of the process variables that must...Ch. 36 - What are the four primary consumable-electrode...Ch. 36 - What are some general properties of the...Ch. 36 - What are some of the functions of the electrode...Ch. 36 - How are welding electrodes commonly classified,...Ch. 36 - Why are shielded metal arc electrodes often baked...Ch. 36 - What are the functions of the fluxing constituents...Ch. 36 - What benefit can be obtained by placing iron...Ch. 36 - Why are shielded metal arc electrodes generally...Ch. 36 - Why is the shielded metal arc welding process...Ch. 36 - What are some of the attractive features of the...Ch. 36 - What is the advantage of placing the flux in the...Ch. 36 - What feature enables the welding current in FCAW...Ch. 36 - What are some of the advantages of gas metal arc...Ch. 36 - Describe the relative performance of argon,...Ch. 36 - For what welding conditions would short circuit...Ch. 36 - What is the least desired mode of metal transfer?Ch. 36 - Which of the metal transfer mechanisms is most...Ch. 36 - Describe the metal transfer that occurs during...Ch. 36 - What are some of the benefits that can be obtained...Ch. 36 - What are some of the attractive features of gas...Ch. 36 - What are some of the primary process variables in...Ch. 36 - What is the attractive feature of advanced gas...Ch. 36 - What other gas metal arc welding modifications...Ch. 36 - What benefits can be gained by using a rectangular...Ch. 36 - What are some of the functions of the flux in...Ch. 36 - What are some of the attractive features of...Ch. 36 - What is the primary goal or objective in bulk...Ch. 36 - What is the current (or proper) designation for...Ch. 36 - What types of shielding gases are used in the gas...Ch. 36 - What are some of the features that must be...Ch. 36 - What can be done to increase the rate of filler...Ch. 36 - What are some of the attractive features of gas...Ch. 36 - For the GTAW process, what are the attractive...Ch. 36 - What are some of the advantages of employing a...Ch. 36 - How are the spot welds produced by gas tungsten...Ch. 36 - How is the heating of the workpiece during plasma...Ch. 36 - What are the two different gas flows in plasma arc...Ch. 36 - What are some of the attractive features of plasma...Ch. 36 - What is the keyhole effect in plasma arc welding?Ch. 36 - What is the primary difference between plasma arc...Ch. 36 - What is the primary objective of stud welding?Ch. 36 - What is the function of the ceramic ferrule placed...Ch. 36 - 71- Describe the sequence of activity in flash...Ch. 36 - How is percussion welding different from flash...Ch. 36 - Prob. 73RQCh. 36 - Describe the ideal thermal cut.Ch. 36 - What is the purpose of the oxygen in oxygen arc...Ch. 36 - Why is plasma arc cutting an attractive wav of...Ch. 36 - What techniques can be used to constrict the arc...Ch. 36 - Compared to oxyfuel cutting, what are some of the...Ch. 36 - How can a nontransferred arc plasma torch be used...Ch. 36 - What are some of the attractive features of...Ch. 36 - What are some of the benefits of performing plasma...Ch. 36 - Describe the relative size of the heat-affected...Ch. 36 - Why might the residual stresses induced during...Ch. 36 - Prob. 84RQCh. 36 - What are typical arc welding currents and...Ch. 36 - What are the attractive features or benefits of an...Ch. 36 - What are jigs, fixtures or positioners, and how...Ch. 36 - Describe thermal deburring.Ch. 36 - When welds fail, it is not uncommon for the...Ch. 36 - For each of the conditions in Problem l, could...Ch. 36 - Using the Internet or technical literature,...Ch. 36 - Using the Internet or technical literature,...Ch. 36 - Identify a new or recent EPA or OSHA regulation...Ch. 36 - Magnesium, while not as strong as steel or...Ch. 36 - Numerous joints appear in bicycle frames, some of...
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