Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781259822674
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 1.11, Problem 79P
Repeat Prob. 1–78 for a gage pressure of 40 kPa.
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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 1 Solutions
Thermodynamics: An Engineering Approach
Ch. 1.11 - The value of the gravitational acceleration g...Ch. 1.11 - One of the most amusing things a person can...Ch. 1.11 - An office worker claims that a cup of cold coffee...Ch. 1.11 - What is the difference between the classical and...Ch. 1.11 - Explain why the light-year has the dimension of...Ch. 1.11 - What is the difference between pound-mass and...Ch. 1.11 - What is the net force acting on a car cruising at...Ch. 1.11 - What is the weight, in N, of an object with a mass...Ch. 1.11 - If the mass of an object is 10 lbm, what is its...Ch. 1.11 - The acceleration of high-speed aircraft is...
Ch. 1.11 - The value of the gravitational acceleration g...Ch. 1.11 - A 3-kg plastic tank that has a volume of 0.2 m3 is...Ch. 1.11 - A 2-kg rock is thrown upward with a force of 200 N...Ch. 1.11 - Solve Prob. 113 using appropriate software. 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Using appropriate software,...Ch. 1.11 - The piston of a vertical piston-cylinder device...Ch. 1.11 - Both a gage and a manometer are attached to a gas...Ch. 1.11 - Reconsider Prob. 161. Using appropriate software,...Ch. 1.11 - A manometer containing oil ( = 850 kg/m3) is...Ch. 1.11 - A manometer is used to measure the air pressure in...Ch. 1.11 - A mercury manometer ( = 13.600 kg/m3) is connected...Ch. 1.11 - Repeat Prob. 165 for a differential mercury height...Ch. 1.11 - The pressure in a natural gas pipeline is measured...Ch. 1.11 - Repeat Prob. 167E by replacing air with oil with a...Ch. 1.11 - Blood pressure is usually measure by wrapping a...Ch. 1.11 - The maximum blood pressure in the upper arm of a...Ch. 1.11 - Consider a U-tube whose arms are open to the...Ch. 1.11 - Consider a double-fluid manometer attached to an...Ch. 1.11 - Calculate the absolute pressure. P1, of the...Ch. 1.11 - Consider the manometer in Fig. 173. If the...Ch. 1.11 - Consider the manometer in Fig. 173. If the...Ch. 1.11 - The hydraulic lift in a car repair shop has an...Ch. 1.11 - Consider the system shown in Fig. 177. If a change...Ch. 1.11 - The gage pressure of the air in the tank shown in...Ch. 1.11 - Repeat Prob. 178 for a gage pressure of 40 kPa.Ch. 1.11 - What is the value of the engineering software...Ch. 1.11 - Determine a positive real root of this equation...Ch. 1.11 - Solve this system of two equations with two...Ch. 1.11 - Solve this system of three equations with three...Ch. 1.11 - Solve this system of three equations with three...Ch. 1.11 - The reactive force developed by a jet engine to...Ch. 1.11 - The reactive force developed by a jet engine to...Ch. 1.11 - A man goes to a traditional market to buy a steak...Ch. 1.11 - What is the weight of a 1-kg substance in N, kN,...Ch. 1.11 - The pressure in a steam boiler is given to be 92...Ch. 1.11 - A hydraulic lift is to be used to lift a 1900-kg...Ch. 1.11 - The average atmosphere pressure on earth is...Ch. 1.11 - Hyperthermia of 5C (i.e., 5C rise above the normal...Ch. 1.11 - The boiling temperature of water decreases by...Ch. 1.11 - A house is losing heat at a rate of 1800 kJ/h per...Ch. 1.11 - The average body temperature of a person rises by...Ch. 1.11 - The average temperature of the atmosphere in the...Ch. 1.11 - A vertical, frictionless pistoncylinder device...Ch. 1.11 - A vertical pistoncylinder device contains a gas at...Ch. 1.11 - The force generated by a spring is given by F =...Ch. 1.11 - An air-conditioning system requires a 35-m-long...Ch. 1.11 - Balloons are often filled with helium gas because...Ch. 1.11 - Reconsider Prob. 1101. 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