Precision Machining Technology
3rd Edition
ISBN: 9781337795302
Author: Peter, Hoffman.
Publisher: Cengage Learning,
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Chapter 3.6, Problem 11RQ
A 3/8-16 threaded hole needs to be tapped ¼” deeper. How many turns of the tap are needed to gain that ¼ of depth?
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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
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
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.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
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)
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)
Chapter 3 Solutions
Precision Machining Technology
Ch. 3.1 - Information such as tolerances and scale can be...Ch. 3.1 - What view of a drawing usually shows the most...Ch. 3.1 - Prob. 3RQCh. 3.1 - The line type used to show edges of an object that...Ch. 3.1 - What line type is used to show edges of an object...Ch. 3.1 - What two line types work together to show sizes on...Ch. 3.1 - Identify the line types labeled in the print...Ch. 3.1 - Define and briefly describe the following...Ch. 3.1 - A dimension listed on an engineering drawing is...Ch. 3.1 - List and briefly describe the three types of...
Ch. 3.1 - Briefly describe the difference between a...Ch. 3.1 - The relationship between sizes of mating parts is...Ch. 3.1 - What does GDT stand for?Ch. 3.1 - A plane used as a reference for dimensions is...Ch. 3.1 - A GDT symbol and the amount of tolerance are shown...Ch. 3.1 - What are the five categories of symbols used in...Ch. 3.1 - What is a feature of size?Ch. 3.1 - Briefly explain the benefit of a position...Ch. 3.2 - Prob. 1RQCh. 3.2 - What is the purpose of layout fluid (dye)?Ch. 3.2 - Prob. 3RQCh. 3.2 - Briefly define a scriber and its use.Ch. 3.2 - What two angles can be laid out with the...Ch. 3.2 - What two tasks can a divider be used to perform?Ch. 3.2 - What safety precautions should be observed when...Ch. 3.2 - What would the divider setting be to scribe a...Ch. 3.2 - What would the divider setting be to scribe an arc...Ch. 3.2 - Prob. 10RQCh. 3.2 - Prob. 11RQCh. 3.2 - Briefly describe the use of a surface gage.Ch. 3.3 - What are three safety rules to observe when using...Ch. 3.3 - List three types of screwdriver tips.Ch. 3.3 - What is the advantage of using slip joint pliers?Ch. 3.3 - What is an advantage of using locking pliers?Ch. 3.3 - What are two uses for a ball peen hammer?Ch. 3.3 - What is the advantage of a soft face hammer?Ch. 3.3 - In what situation would a box-end wrench be chosen...Ch. 3.3 - List two precautions to observe when using...Ch. 3.3 - What is one method of preventing damage to work...Ch. 3.3 - List three safety precautions to be observed when...Ch. 3.3 - In which direction should hacksaw blade teeth...Ch. 3.3 - List two safety precautions that should be...Ch. 3.3 - Will a single-cut or a double-cut file remove...Ch. 3.3 - Will a single-cut or a double-cut file produce a...Ch. 3.3 - ___________ and _________ are two common filing...Ch. 3.3 - What tool is used to clean a file?Ch. 3.3 - What are the two forms of abrasives used in...Ch. 3.4 - Sawing machines can be divided into roughly four...Ch. 3.4 - The vertical band saw is particularly useful, as...Ch. 3.4 - The horizontal band saw is ideal for cutting...Ch. 3.4 - Cutting action on the power hacksaw is very...Ch. 3.4 - List three safety precautions to observe when...Ch. 3.4 - Briefly describe the process to prepare for...Ch. 3.4 - List three safety precautions to observe when...Ch. 3.4 - What type of band saw blade has HSS teeth welded...Ch. 3.4 - How many saw teeth should be engaged in the...Ch. 3.4 - Name the three different types of tooth patterns.Ch. 3.4 - What are the three types of tooth set and why is...Ch. 3.4 - The slot created in a workpiece by the saw blade...Ch. 3.4 - Explain how to use a push stick.Ch. 3.4 - Saws should be ____________ _____________ when a...Ch. 3.4 - Saw guides should be mounted ________ above the...Ch. 3.4 - Why must a band saw blade be annealed after...Ch. 3.4 - Why does a band saw blade need to be ground after...Ch. 3.4 - Clearance between the vertical band saw guides and...Ch. 3.4 - Band saw cutting speeds are given in _________.Ch. 3.5 - What is the main benefit of offhand abrasive...Ch. 3.5 - What type of metals should not be ground on a...Ch. 3.5 - Which wheel is finer, a 60 grit or a 36 grit?Ch. 3.5 - If a grinder runs at 3400 RPM and you have a wheel...Ch. 3.5 - How is a ring test performed?Ch. 3.5 - Why is it necessary to have blotters on both sides...Ch. 3.5 - The maximum distance that a spark breaker and tool...Ch. 3.5 - When should a grinding wheel be dressed?Ch. 3.5 - Where should you stand when using a grinder?Ch. 3.6 - Define drilling.Ch. 3.6 - What factors might determine when a hole must be...Ch. 3.6 - Prob. 3RQCh. 3.6 - Explain the purpose of a counterbore.Ch. 3.6 - What is the purpose of the pilot on a counterbore?Ch. 3.6 - What should be done as a drill nears the...Ch. 3.6 - Define thread as it relates to benchwork.Ch. 3.6 - Explain the major diameter of a thread.Ch. 3.6 - What is the TPI of a -20 thread?Ch. 3.6 - Name two types of tap wrenches.Ch. 3.6 - A 3/8-16 threaded hole needs to be tapped deeper....
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