EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
5th Edition
ISBN: 9781259151323
Author: CENGEL
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 8, Problem 3P
To determine
Whether the quantity that has its cyclic integral as zero is necessarily a property.
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The 2-mass system shown below depicts a disk which rotates about its center and has rotational
moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring
with constant k₂ is attached to the disk at a distance from the center. The mass m has linear
displacement & and is subject to an external force u. When the system is at equilibrium, the spring
forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may
assume the small angle approximation which implies (i) that the springs and dampers remain in
their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the
edge of the disk can be approximated by d≈re.
Ө
K2
www
m
4
Cz
777777
Jo
Make the following assumptions when analyzing the forces and torques:
тв
2
0>0, 0>0, x> > 0, >0
Derive the differential equations of motion for this dynamic system. Start by sketching
LARGE and carefully drawn free-body-diagrams for the disk and the…
A linear system is one that satisfies the principle of superposition. In other words, if an input u₁
yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com-
bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2.
Using this fact, determine the output y(t) of the following linear system:
given the input:
P(s) =
=
Y(s)
U(s)
=
s+1
s+10
u(t) = e−2+ sin(t)
=e
Chapter 8 Solutions
EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
Ch. 8 - Prob. 1PCh. 8 - Does the cyclic integral of heat have to be zero...Ch. 8 - Prob. 3PCh. 8 - To determine the entropy change for an...Ch. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - A piston-cylinder device contains helium gas....
Ch. 8 - Prob. 11PCh. 8 - A piston–cylinder device contains superheated...Ch. 8 - The entropy of steam will (increase, decrease,...Ch. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - What three different mechanisms can cause the...Ch. 8 - A completely reversible heat engine operates with...Ch. 8 - Air is compressed by a 15-kW compressor from P1 to...Ch. 8 - Heat in the amount of 100 kJ is transferred...Ch. 8 - In Prob. 8–21, assume that the heat is transferred...Ch. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Is a process that is internally reversible and...Ch. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - An insulated piston–cylinder device contains 5 L...Ch. 8 - Prob. 34PCh. 8 - Water vapor enters a turbine at 6 MPa and 400°C,...Ch. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 40PCh. 8 - A rigid tank contains 5 kg of saturated vapor...Ch. 8 - Prob. 42PCh. 8 - Determine the heat transfer, in kJ/kg, for the...Ch. 8 - Calculate the heat transfer, in Btu/lbm, for the...Ch. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - 2-kg of saturated water vapor at 600 kPa are...Ch. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - A piston–cylinder device contains 5 kg of steam at...Ch. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Prob. 60PCh. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - An ideal gas undergoes a process between two...Ch. 8 - Prob. 70PCh. 8 - Prob. 71PCh. 8 - Which of the two gases—helium or...Ch. 8 - Air is expanded from 2000 kPa and 500°C to 100 kPa...Ch. 8 - What is the difference between the entropies of...Ch. 8 - Prob. 75PCh. 8 - Prob. 76PCh. 8 - Prob. 77PCh. 8 - Prob. 78PCh. 8 - Air is compressed steadily by a 5-kW compressor...Ch. 8 - Prob. 81PCh. 8 - A mass of 25 lbm of helium undergoes a process...Ch. 8 - Prob. 84PCh. 8 - Prob. 85PCh. 8 - Air at 3.5 MPa and 500°C is expanded in an...Ch. 8 - Prob. 87PCh. 8 - Prob. 88PCh. 8 - Prob. 89PCh. 8 - Prob. 90PCh. 8 - Prob. 91PCh. 8 - Prob. 92PCh. 8 - Prob. 93PCh. 8 - Prob. 94PCh. 8 - Prob. 95PCh. 8 - Prob. 96PCh. 8 - Prob. 97PCh. 8 - Prob. 98PCh. 8 - Prob. 99PCh. 8 - Prob. 100PCh. 8 - Prob. 101PCh. 8 - Prob. 102PCh. 8 - Prob. 103PCh. 8 - Prob. 104PCh. 8 - Prob. 105PCh. 8 - Prob. 106PCh. 8 - Prob. 107PCh. 8 - Prob. 109PCh. 8 - Prob. 110PCh. 8 - Prob. 111PCh. 8 - Steam at 100 psia and 650°F is expanded...Ch. 8 - Prob. 113PCh. 8 - Prob. 114PCh. 8 - Prob. 115PCh. 8 - Prob. 116PCh. 8 - Carbon dioxide enters an adiabatic compressor at...Ch. 8 - Prob. 119PCh. 8 - Prob. 120PCh. 8 - Prob. 122PCh. 8 - Prob. 123PCh. 8 - Prob. 124PCh. 8 - The exhaust nozzle of a jet engine expands air at...Ch. 8 - An adiabatic diffuser at the inlet of a jet engine...Ch. 8 - Hot combustion gases enter the nozzle of a...Ch. 8 - Refrigerant-134a is expanded adiabatically from...Ch. 8 - Prob. 130PCh. 8 - Prob. 131PCh. 8 - Prob. 132PCh. 8 - Prob. 133PCh. 8 - Prob. 134PCh. 8 - Prob. 135PCh. 8 - Prob. 136PCh. 8 - Prob. 137PCh. 8 - Prob. 138PCh. 8 - Prob. 139PCh. 8 - Prob. 140PCh. 8 - Prob. 141PCh. 8 - Prob. 142PCh. 8 - Prob. 143PCh. 8 - Prob. 144PCh. 8 - Prob. 145PCh. 8 - Prob. 146PCh. 8 - Prob. 147PCh. 8 - Prob. 148PCh. 8 - Prob. 149PCh. 8 - Prob. 150PCh. 8 - Prob. 151PCh. 8 - Prob. 152PCh. 8 - Prob. 153PCh. 8 - Prob. 154PCh. 8 - Prob. 155RQCh. 8 - Prob. 156RQCh. 8 - Prob. 157RQCh. 8 - Prob. 158RQCh. 8 - Prob. 159RQCh. 8 - Prob. 160RQCh. 8 - Prob. 161RQCh. 8 - Prob. 162RQCh. 8 - Prob. 163RQCh. 8 - Prob. 164RQCh. 8 - Prob. 165RQCh. 8 - Prob. 166RQCh. 8 - Prob. 167RQCh. 8 - Prob. 168RQCh. 8 - Prob. 169RQCh. 8 - Prob. 170RQCh. 8 - Prob. 171RQCh. 8 - Prob. 172RQCh. 8 - Prob. 173RQCh. 8 - Determine the work input and entropy generation...Ch. 8 - Prob. 175RQCh. 8 - Prob. 176RQCh. 8 - Prob. 177RQCh. 8 - Prob. 178RQCh. 8 - Prob. 180RQCh. 8 - Prob. 181RQCh. 8 - Prob. 182RQCh. 8 - A 1200-W electric resistance heating element whose...Ch. 8 - Prob. 184RQCh. 8 - Prob. 185RQCh. 8 - Prob. 186RQCh. 8 - Prob. 187RQCh. 8 - Prob. 188RQCh. 8 - Prob. 189RQCh. 8 - Prob. 190RQCh. 8 - Consider a 50-L evacuated rigid bottle that is...
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