Engineering Your Future: Comprehensive
8th Edition
ISBN: 9780199348015
Author: William C. Oakes, Les L. Leone
Publisher: Oxford University Press
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Chapter 17, Problem 17.55E
To determine
Determine the work in
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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
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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
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Chapter 17 Solutions
Engineering Your Future: Comprehensive
Ch. 17 - Prob. 17.1ECh. 17 - Prob. 17.2ECh. 17 - Prob. 17.3ECh. 17 - Prob. 17.4ECh. 17 - Prob. 17.5ECh. 17 - Prob. 17.6ECh. 17 - Prob. 17.7ECh. 17 - Prob. 17.8ECh. 17 - Prob. 17.9ECh. 17 - Prob. 17.10E
Ch. 17 - Prob. 17.11ECh. 17 - Prob. 17.12ECh. 17 - Prob. 17.13ECh. 17 - Prob. 17.14ECh. 17 - Prob. 17.15ECh. 17 - Prob. 17.16ECh. 17 - Prob. 17.17ECh. 17 - Prob. 17.18ECh. 17 - Prob. 17.19ECh. 17 - Prob. 17.20ECh. 17 - Prob. 17.21ECh. 17 - Prob. 17.22ECh. 17 - Prob. 17.23ECh. 17 - Prob. 17.24ECh. 17 - Prob. 17.25ECh. 17 - Prob. 17.26ECh. 17 - Prob. 17.27ECh. 17 - Prob. 17.28ECh. 17 - Prob. 17.29ECh. 17 - Prob. 17.30ECh. 17 - Prob. 17.31ECh. 17 - Prob. 17.32ECh. 17 - Prob. 17.33ECh. 17 - Prob. 17.34ECh. 17 - Prob. 17.35ECh. 17 - Prob. 17.36ECh. 17 - Prob. 17.37ECh. 17 - Prob. 17.38ECh. 17 - Prob. 17.39ECh. 17 - Prob. 17.40ECh. 17 - Prob. 17.41ECh. 17 - Prob. 17.42ECh. 17 - Prob. 17.43ECh. 17 - Prob. 17.44ECh. 17 - Prob. 17.45ECh. 17 - Prob. 17.46ECh. 17 - Prob. 17.47ECh. 17 - Prob. 17.48ECh. 17 - Prob. 17.49ECh. 17 - Prob. 17.50ECh. 17 - Prob. 17.51ECh. 17 - Prob. 17.52ECh. 17 - Prob. 17.53ECh. 17 - Prob. 17.54ECh. 17 - Prob. 17.55ECh. 17 - Prob. 17.56ECh. 17 - Prob. 17.57ECh. 17 - Prob. 17.58ECh. 17 - Prob. 17.59ECh. 17 - Prob. 17.60ECh. 17 - Prob. 17.61ECh. 17 - Prob. 17.62ECh. 17 - Prob. 17.63ECh. 17 - Prob. 17.64ECh. 17 - Prob. 17.65ECh. 17 - Prob. 17.66ECh. 17 - Prob. 17.67ECh. 17 - Prob. 17.68ECh. 17 - Prob. 17.69ECh. 17 - Prob. 17.70ECh. 17 - Prob. 17.71ECh. 17 - Prob. 17.72ECh. 17 - Prob. 17.73ECh. 17 - Prob. 17.74ECh. 17 - Prob. 17.75ECh. 17 - Prob. 17.76ECh. 17 - Prob. 17.77ECh. 17 - Prob. 17.78ECh. 17 - Prob. 17.79ECh. 17 - Prob. 17.80ECh. 17 - Prob. 17.81ECh. 17 - Prob. 17.82ECh. 17 - Prob. 17.83ECh. 17 - Prob. 17.84ECh. 17 - Prob. 17.85ECh. 17 - Prob. 17.86E
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