EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 8220100257056
Author: CENGEL
Publisher: YUZU
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Chapter 1.11, Problem 25P
What is a quasi-equilibrium process? What is its importance in engineering?
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An aluminum rod of length L
=
1m has mass density p = 2700 kg and
Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact
natural eigenfrequencies of the rod are wexact
E
=
√
ρ
for n=1,2,3,. . . .
1. What is the minimum number of linear elements necessary to
determine the fundamental frequency w₁ of the system? Discretize
the rod in that many elements of equal length, assemble the global
system of equations KU = w² MU, and find the fundamental
frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact
Sketch the fundamental mode of vibration.
2. Use COMSOL to solve the same problem. Show the steps necessary
to find the fundamental frequency and mode of the rod. What is the
relative error using linear elements and a normal mesh?
A ball with a mass of 5.0 kg is hanging from a string and is initially at rest.
A bullet with a mass of 10.0 g and a velocity of 200.0 m/s is fired at the ball.
The bullet embeds itself inside the ball.
How high (h) do the ball and the bullet rise?
Gravitational acceleration: g=9.81g = 9.81g=9.81 m/s².
Don't use chatgpt.
Need handwritten solution.
Mechanical engineering
Chapter 1 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
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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