FLUID MECHANICS FUNDAMENTALS+APPS
4th Edition
ISBN: 2810022150991
Author: CENGEL
Publisher: MCG
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Chapter 2, Problem 108P
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Exercises
Find the solution of the following Differential Equations
1) y" + y = 3x²
3)
"+2y+3y=27x
5) y"+y=6sin(x)
7) y"+4y+4y = 18 cosh(x)
9) (4)-5y"+4y = 10 cos(x)
11) y"+y=x²+x
13) y"-2y+y=e*
15) y+2y"-y'-2y=1-4x³
2) y"+2y' + y = x²
4) "+y=-30 sin(4x)
6) y"+4y+3y=sin(x)+2 cos(x)
8) y"-2y+2y= 2e* cos(x)
10) y+y-2y=3e*
12) y"-y=e*
14) y"+y+y=x+4x³ +12x²
16) y"-2y+2y=2e* cos(x)
The state of stress at a point is σ = -4.00 kpsi, σy = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi,
Tyz = 8.000 kpsi, and T = -14.00 kpsi.
Determine the principal stresses.
The principal normal stress σ₁ is determined to be [
The principal normal stress σ2 is determined to be [
The principal normal stress σ3 is determined to be
kpsi.
kpsi.
The principal shear stress 71/2 is determined to be [
The principal shear stress 7½ is determined to be [
The principal shear stress T₁/, is determined to be [
kpsi.
kpsi.
kpsi.
kpsi.
Repeat Problem 28, except using a shaft that is rotatingand transmitting a torque of 150 N * m from the left bearing to the middle of the shaft. Also, there is a profile keyseat at the middle under the load.
(I want to understand this problem)
Chapter 2 Solutions
FLUID MECHANICS FUNDAMENTALS+APPS
Ch. 2 - What is the difference between intensive and...Ch. 2 - For a substance, what is the difference between...Ch. 2 - What is specific gravity? How is it related to...Ch. 2 - The specific weight of a system is defined as the...Ch. 2 - Under what conditions is the ideal-gas assumption...Ch. 2 - What is the difference between R and Ru? How are...Ch. 2 - A 75-L container is filled with 1 kg of air at a...Ch. 2 - A mass of 1-Ibm of argon is maintained at 200 psia...Ch. 2 - What is the specific volume of oxygen at 40 psia...Ch. 2 - A fluid that occupies a volume of 24 L weighs 22 N...
Ch. 2 - The air in an automobile tire with a volume of...Ch. 2 - The pressure in an automobile tire depends on the...Ch. 2 - A spherical balloon with a diameter of 9 m is...Ch. 2 - A cylindrical tank of methanol has a mass of 60kg...Ch. 2 - The combustion in a gasoline engine may be...Ch. 2 - Consider Table 2-1 in the textbook, which lists...Ch. 2 - What is vapor pressure? How is it related to...Ch. 2 - Does water boil at higher temperatures at higher...Ch. 2 - Prob. 22CPCh. 2 - What is cavitation? What causes it?Ch. 2 - Prob. 24EPCh. 2 - A pump is used to transport water to a higher...Ch. 2 - Prob. 26PCh. 2 - Prob. 27CPCh. 2 - List the forms of energy that contribute to the...Ch. 2 - How are heat, internal energy, and thermal energy...Ch. 2 - What is flow energy? Do fluids at rest possess any...Ch. 2 - How do the energies of a flowing fluid and a fluid...Ch. 2 - Using average specific heats, explain how internal...Ch. 2 - Prob. 33CPCh. 2 - Prob. 34EPCh. 2 - Saturated water vapor at 150°C (enthalpy...Ch. 2 - What does the coefficient of volume expansion of a...Ch. 2 - Prob. 37CPCh. 2 - Can the coefficient of compressibility of a fluid...Ch. 2 - Use the coefficient of volume expansion to...Ch. 2 - The volume of an ideal gas is to be reduced by...Ch. 2 - Water at 1 atm pressure is compressed to 400 atm...Ch. 2 - Prob. 42PCh. 2 - Saturated refrigerant-134a liquid at 10C is cooled...Ch. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - The density of seawater at a free surface where...Ch. 2 - Prob. 47EPCh. 2 - A frictionless piston-cylinder device contains 10...Ch. 2 - Reconsider Prob. 2-48. Assuming a bear pressure...Ch. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52CPCh. 2 - Prob. 53CPCh. 2 - In which medium will sound travel fastest for a...Ch. 2 - Prob. 55CPCh. 2 - Prob. 56CPCh. 2 - Prob. 57CPCh. 2 - Is then sonic ve1ocity a specified medium a fixed...Ch. 2 - Prob. 59PCh. 2 - Carbon dioxide enters an adiabatic nozzle at 1200...Ch. 2 - Prob. 61PCh. 2 - Assuming ideal gas behavior, determine the speed...Ch. 2 - Prob. 63PCh. 2 - Steam flows through a device with a pressure of...Ch. 2 - Air expands isentropically from 2.2 MPa 77C to 0.4...Ch. 2 - Repeat Prob. 2-66 for helium gas.Ch. 2 - The Airbus A-340 passenger plane has a maximum...Ch. 2 - Prob. 69CPCh. 2 - What is viscosity? What is the cause of it is...Ch. 2 - How does the kinematic viscosity of (a) liquids...Ch. 2 - Prob. 72CPCh. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - The dynamic viscosity of carbon dioxide at 50°C...Ch. 2 - Consider the flow of a fluid with viscosity ...Ch. 2 - The viscosity of a fluid is to be measured by a...Ch. 2 - A thin 30cm30cm flat plate is pulled at 3 m/s...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - For flow over a plate, the variation of velocity...Ch. 2 - In regions far from the entrance, fluid flow...Ch. 2 - Repeat Prob. 2-83 for umax=6m/s .Ch. 2 - A frustum-shaped body is rotating at a constant...Ch. 2 - A rotating viscometer consists of two concentric...Ch. 2 - A thin plate moves between two parallel,...Ch. 2 - Prob. 88PCh. 2 - A cylinder of mass m slides down from rest in a...Ch. 2 - What is surface tension” What is its cause? Why is...Ch. 2 - What is the capillary effect? What is its cause?...Ch. 2 - Prob. 92CPCh. 2 - Prob. 93CPCh. 2 - Is the capillary rise greater in small- or...Ch. 2 - Determine the gage pressure inside a soap bubble...Ch. 2 - A2.4-in-diameter soap bubble is to be enlarged by...Ch. 2 - Prob. 97PCh. 2 - Consider a 0.15-mm diameter air bubble a liquid....Ch. 2 - Prob. 99PCh. 2 - A capillary tube of 1.2 mm diameter is immersed...Ch. 2 - Prob. 101EPCh. 2 - Prob. 102PCh. 2 - Contrary to what you might expect, a solid steel...Ch. 2 - Nutrients dissolved in water are carried to upper...Ch. 2 - Consider a 55-cm-long journal bearing that is...Ch. 2 - Prob. 106PCh. 2 - Prob. 107EPCh. 2 - A 10-m3 tank contacts nitrogen at 25C and 800kPa....Ch. 2 - The absolute pressure of an automobile tire is...Ch. 2 - The analysis of a propeller that operates in water...Ch. 2 - A closed tank is partially filled with water at...Ch. 2 - Prob. 112PCh. 2 - A rigid tank contains an ideal gas at 300kPa and...Ch. 2 - The composition of a liquid with suspended solid...Ch. 2 - A newly produced pipe with diameter of 3m and...Ch. 2 - Prove that the coefficient of volume expansion for...Ch. 2 - Although liquids, in general, are hard to...Ch. 2 - Air expands isentropically from 200psia and 240F...Ch. 2 - Prob. 120PCh. 2 - Reconsider Prob. 2-120. The shaft now rotates with...Ch. 2 - Derive a relation for the capillary rise eta...Ch. 2 - A 10-cm diameter cylindrical shaft rotates inside...Ch. 2 - A large plate is pulled at a constant spend of...Ch. 2 - Some rocks or bricks contain small air pockets in...Ch. 2 - A fluid between two very long parallel plates is...Ch. 2 - The rotating parts of a hydroelectric power plant...Ch. 2 - The viscosity of some fluids changes when a strong...Ch. 2 - Prob. 129PCh. 2 - Prob. 130PCh. 2 - Prob. 131PCh. 2 - Oil of viscosity =0.0357Pas and density...Ch. 2 - Prob. 133PCh. 2 - Prob. 134PCh. 2 - Prob. 135PCh. 2 - Prob. 136PCh. 2 - Prob. 137PCh. 2 - Liquid water vaporizes into water vaper as it ?aws...Ch. 2 - In a water distribution system, the pressure of...Ch. 2 - The pressure of water is increased from 100kPa to...Ch. 2 - An ideal gas is compressed isothermally from...Ch. 2 - The variation of the density of a fluid with...Ch. 2 - Prob. 143PCh. 2 - The viscosity of liquids and the viscosity of...Ch. 2 - Prob. 145PCh. 2 - Prob. 146PCh. 2 - Prob. 147PCh. 2 - The dynamic viscosity of air at 20C and 200kPa is...Ch. 2 - A viscometer constructed of two 30-cm -long...Ch. 2 - A 0.6-mm-diameter glass tube is inserted into...Ch. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 155PCh. 2 - Prob. 156PCh. 2 - Prob. 157PCh. 2 - Evan though steel is about 7 to 8 times denser...
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