Thermodynamics: An Engineering Approach
8th Edition
ISBN: 9780073398174
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 1.11, Problem 47P
To determine
Express the pressure in the water line in
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Y
F1
α
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X
F2
You and your friends are planning to move the log. The log.
needs to be moved straight in the x-axis direction and it
takes a combined force of 2.9 kN. You (F1) are able to exert
610 N at a = 32°. What magnitude (F2) and direction (B) do
you needs your friends to pull?
Your friends had to pull at:
magnitude in Newton, F2
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direction in degrees, ẞ =
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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.
Chapter 1 Solutions
Thermodynamics: An Engineering Approach
Ch. 1.11 - What is the difference between the classical and...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 - 1–5C What is the difference between kg-mass and...Ch. 1.11 - Explain why the light-year has the dimension of...Ch. 1.11 - What is the net force acting on a car cruising at...Ch. 1.11 - 1–8 At 45° latitude, the gravitational...Ch. 1.11 - What is the weight, in N, of an object with a mass...Ch. 1.11 - A 3-kg plastic tank that has a volume of 0.2 m3 is...
Ch. 1.11 - Prob. 11PCh. 1.11 - Prob. 12PCh. 1.11 - Solve Prob. 113 using appropriate software. Print...Ch. 1.11 - A 4-kW resistance heater in a water heater runs...Ch. 1.11 - A 150-lbm astronaut took his bathroom scale (a...Ch. 1.11 - The gas tank of a car is filled with a nozzle that...Ch. 1.11 - Prob. 17PCh. 1.11 - A large fraction of the thermal energy generated...Ch. 1.11 - Prob. 19PCh. 1.11 - 1–20C A can or soft drink at room temperature is...Ch. 1.11 - What is the difference between intensive and...Ch. 1.11 - Is the number of moles of a substance contained in...Ch. 1.11 - Is the state of the air in an isolated room...Ch. 1.11 - The specific weight of a system is defined as the...Ch. 1.11 - What is a quasi-equilibrium process? What is its...Ch. 1.11 - Define the isothermal, isobaric, and isochoric...Ch. 1.11 - Prob. 27PCh. 1.11 - Prob. 28PCh. 1.11 - 1–29C What is specific gravity? How is it related...Ch. 1.11 - 1–31C What are the ordinary and absolute...Ch. 1.11 - Prob. 32PCh. 1.11 - Prob. 33PCh. 1.11 - Prob. 34PCh. 1.11 - Prob. 35PCh. 1.11 - Prob. 36PCh. 1.11 - Prob. 37PCh. 1.11 - Prob. 38PCh. 1.11 - The temperature of a system drops by 45F during a...Ch. 1.11 - Explain why some people experience nose bleeding...Ch. 1.11 - A health magazine reported that physicians...Ch. 1.11 - Someone claims that the absolute pressure in a...Ch. 1.11 - 1–43C Express Pascal’s law, and give a real-world...Ch. 1.11 - Consider two identical fans, one at sea level and...Ch. 1.11 - A vacuum gage connected to a chambee reads 35 kPa...Ch. 1.11 - Prob. 46PCh. 1.11 - 1–47E The pressure in a water line is 1500 kPa....Ch. 1.11 - 1–48E If the pressure inside a rubber balloon is...Ch. 1.11 - A manometer is used to measure the air pressure in...Ch. 1.11 - 1–50 The water in a tank is pressurized by air,...Ch. 1.11 - 1–51 Determine the atmospheric pressure at a...Ch. 1.11 - A 200-pound man has a total foot imprint area of...Ch. 1.11 - The gage pressure in a liquid at a depth of 3 m is...Ch. 1.11 - The absolute pressure in water at a depth of 9 m...Ch. 1.11 - 1–55E Determine the pressure exerted on the...Ch. 1.11 - 1–56 Consider a 70-kg woman who has a total foot...Ch. 1.11 - Prob. 57PCh. 1.11 - The barometer of a mountain hiker reads 750 mbars...Ch. 1.11 - The basic barometer can be used to measure the...Ch. 1.11 - Prob. 61PCh. 1.11 - A gas is contained in a vertical, frictionless...Ch. 1.11 - Reconsider Prob. 158. Using appropriate software,...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 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 - Prob. 73PCh. 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 - Prob. 76PCh. 1.11 - Prob. 77PCh. 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 - Consider the system shown in Fig. 177. If a change...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 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 - 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 - A hydraulic lift is to be used to lift a 1900-kg...Ch. 1.11 - Prob. 92RPCh. 1.11 - Prob. 93RPCh. 1.11 - Prob. 94RPCh. 1.11 - Prob. 95RPCh. 1.11 - Prob. 96RPCh. 1.11 - It is well known that cold air feels much colder...Ch. 1.11 - Reconsider Prob. 1116E. Using appropriate...Ch. 1.11 - A vertical pistoncylinder device contains a gas at...Ch. 1.11 - An air-conditioning system requires a 35-m-long...Ch. 1.11 - The average body temperature of a person rises by...Ch. 1.11 - Balloons are often filled with helium gas because...Ch. 1.11 - Reconsider Prob. 1101. Using appropriate software,...Ch. 1.11 - Determine the maximum amount of load, in kg, the...Ch. 1.11 - The lower half of a 6-m-high cylindrical container...Ch. 1.11 - A vertical, frictionless pistoncylinder device...Ch. 1.11 - A pressure cooker cooks a lot faster than an...Ch. 1.11 - Prob. 108RPCh. 1.11 - Consider a U-tube whose arms are open to the...Ch. 1.11 - Prob. 110RPCh. 1.11 - A water pipe is connected to a double-U manometer...Ch. 1.11 - A gasoline line is connected to a pressure gage...Ch. 1.11 - Repeat Prob. 1110 for a pressure gage reading of...Ch. 1.11 - The average atmosphere pressure on earth is...Ch. 1.11 - Prob. 115RPCh. 1.11 - Prob. 116RPCh. 1.11 - Consider the flow of air through a wind turbine...Ch. 1.11 - The drag force exerted on a car by air depends on...Ch. 1.11 - An apple loses 3.6 kJ of heat as it cools per C...Ch. 1.11 - Consider a fish swimming 5 m below the free...Ch. 1.11 - The atmospheric pressures at the top and the...Ch. 1.11 - Consider a 2.5-m-deep swimming pool. The pressure...Ch. 1.11 - During a heating process, the temperature of an...Ch. 1.11 - At sea level, the weight of 1 kg mass in SI units...
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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 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.arrow_forward5. Estimate the friction pressure gradient in a 10.15 cm bore unheated horizontal pipe for the following conditions: Fluid-propylene Pressure 8.175 bar Temperature-7°C Mass flow of liquid-2.42 kg/s. Density of liquid-530 kg/m³ Mass flow of vapour-0.605 kg/s. Density of vapour-1.48 kg/m³arrow_forwardDescribe the following HVAC systems. a) All-air systems b) All-water systems c) Air-water systems Graphically represent each system with a sketch.arrow_forward
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