Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN: 9781285444543
Author: Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher: Cengage Learning
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Chapter 6.1, Problem 9RQ
How can power quill feed be automatically stopped when feeding in a downward direction?
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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)
Chapter 6 Solutions
Precision Machining Technology (MindTap Course List)
Ch. 6.1 - What part of the vertical milling machine allows...Ch. 6.1 - Briefly describe the direction of movement...Ch. 6.1 - When a table handle is turned clockwise the table...Ch. 6.1 - What distance does the saddle or table usually...Ch. 6.1 - Prob. 5RQCh. 6.1 - Briefly describe the function of the turret and...Ch. 6.1 - What is the name of the taper found in most modem...Ch. 6.1 - What part of the vertical mill can be raised and...Ch. 6.1 - How can power quill feed be automatically stopped...Ch. 6.1 - What is a benefit of using a DRO instead of...
Ch. 6.2 - Many of the cutters used in machining are made of...Ch. 6.2 - What type of cutting tool would most likely be...Ch. 6.2 - Which type of cutter would most likely be used to...Ch. 6.2 - What workpiece factors might cause a four-flute...Ch. 6.2 - List three types of milling cutters that are used...Ch. 6.2 - Most manual vertical milling machine spindles are...Ch. 6.2 - A __________ is used to retain the toolholder in...Ch. 6.2 - What type of toolholder might he selected for...Ch. 6.2 - Sketch a corner-rounding endmill.Ch. 6.2 - What toolholding device uses two drive keys and a...Ch. 6.2 - Prob. 11RQCh. 6.2 - List the four basic pieces of a step clamp set: a....Ch. 6.2 - Prob. 13RQCh. 6.2 - Irregularly shaped work may be held in a custom...Ch. 6.3 - List five safety guidelines to observe when...Ch. 6.3 - Briefly describe the process of aligning a milling...Ch. 6.3 - What is chip load?Ch. 6.3 - Define IPM.Ch. 6.3 - Calculate spindle speed and feed for the two...Ch. 6.3 - Briefly describe the process of locating the...Ch. 6.3 - What are two benefits of boring over other...Ch. 6.3 - What are face milling and peripheral milling?Ch. 6.3 - When squaring a block on the vertical mill, what...Ch. 6.3 - What are the three basic methods used to mill...Ch. 6.3 - What must first be done before milling with either...Ch. 6.3 - Prob. 12RQCh. 6.3 - What diameter cutter should be used to create...Ch. 6.3 - When roughing a pocket, should you machine in a...Ch. 6.4 - What is a rotary axis?Ch. 6.4 - Define the term indexing.Ch. 6.4 - Describe the primary differences between the...Ch. 6.4 - Name three types of workpiece features that are...Ch. 6.4 - Briefly describe the two alignment steps that need...Ch. 6.4 - If the outside of a 6"-diameter disk is to be...Ch. 6.4 - What is the gear ratio found in the gear train of...Ch. 6.4 - When using the indexing head, a __________ can be...Ch. 6.4 - A workpiece requires 9 divisions. Calculate the...Ch. 6.4 - In the formula 40D=T,what do T and D represent?
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