Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Chapter 7, Problem 29ICA
When shipping freight around the world, most companies use a standardized set of containers to make transportation and handling easier. The 40-foot (ft) container is the most popular container worldwide. If the container is 2.4 meters [m] wide and has an enclosed volume of 2385 cubic feet [ft3], what is the height of the container in units of inches [in]?
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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 7 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Ch. 7.1 - Express the following values using an appropriate...Ch. 7.1 - Indicate if the following units are correctly...Ch. 7.3 - Comprehension Check 7-3 The highest mountain in...Ch. 7.3 - To be considered a full-time employee, companies...Ch. 7.4 - In January 2008, Scientific American reported that...Ch. 7.4 - Officially, a hurricane is a tropical storm with...Ch. 7.4 - Many toilets in commercial establishments have a...Ch. 7.5 - Comprehension Check 7-8 A hogshead is a unit of...Ch. 7.5 - Comprehension Check 7-9 In NCAA basketball, a...Ch. 7.5 - A boat is traveling at 20 knots. Convert this...
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One...Ch. 7 - The Earth's escape velocity is 7 miles per second...Ch. 7 - A manufacturing process uses 10 pound-mass of...Ch. 7 - CA 7-23 Determine the fundamental dimensions of...Ch. 7 - Determine the fundamental dimensions of the...Ch. 7 - Identify the following quantities through the use...Ch. 7 - Football helmet safety is a current focus of...Ch. 7 - For each equation listed, indicate if the equation...Ch. 7 - What are the dimensions of the coefficient (k) in...Ch. 7 - When shipping freight around the world, most...Ch. 7 - A circular window has a 10-inch [in] radius. What...Ch. 7 - A body traveling in a circle experiences an...Ch. 7 - In NCAA basketball, the center circle diameter...Ch. 7 - Continental drift has an average velocity of 2...Ch. 7 - In many engineering uses, the value of "g," the...Ch. 7 - In 2001 , the first iPodTM by Apple had a rated...Ch. 7 - New plastic fuel tanks for cars can be molded to...Ch. 7 - The longest sea bridge, the Jiaozhou Bay Bridge in...Ch. 7 - The term "deep sea" refers to everything in the...Ch. 7 - A category F5 tornado can have wind speeds of 300...Ch. 7 - Some species of bamboo have been measured to grow...Ch. 7 - A new hybrid automobile with regenerative braking...Ch. 7 - If a liquid evaporates at a rate of 50 kilograms...Ch. 7 - Acetone must be kept in a closed pressure tank due...Ch. 7 - The AbioCorTM artificial heart pumps at a rate of...Ch. 7 - If a pump moves water at 70 gallons per minute...Ch. 7 - On April 20, 2010, the DeepWater Horizon oil...Ch. 7 - One of the National Academy of Engineering Grand...Ch. 7 - The board foot is often used as a measure of...Ch. 7 - The oxgang is unit of area equal to 20 acres....Ch. 7 - In an effort to modernize the United States...Ch. 7 - Old Mississippi River paddle wheelers routinely...Ch. 7 - The grain is a unit of mass equal to 64.8...Ch. 7 - The hand [hh] is a traditional unit for measuring...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - Many common quantities with derived units do not...Ch. 7 - Electrical ficld (E) [V /m]Ch. 7 - Acoustic impedance (Z) [Pa s/m]Ch. 7 - Magnetic permeability ()[V S / A]Ch. 7 - Ideal gas" constant (R) [atm L/(mol K )]Ch. 7 - Stefan-Boltzmann constant () [W I (m2K4)]Ch. 7 - Analyze l he following term using fundamental...Ch. 7 - We wish to analyze the velocity of a fluid exiting...Ch. 7 - Wind energy uses large fans to extract energy from...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - A dust collection system operates using the...Ch. 7 - Determine if the following expression is a valid...Ch. 7 - The largest hailstone is the United States was...Ch. 7 - The largest hailstone is the United States was...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - A box has a volume of 10 gallons [gal]. 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