THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<
9th Edition
ISBN: 9781266657610
Author: CENGEL
Publisher: MCG CUSTOM
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Chapter 13.3, Problem 100RP
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3. The figure shows a frame under the
influence of an external loading made up
of five forces and two moments. Use the
scalar method to calculate moments.
a. Write the resultant force of the
external loading in Cartesian vector
form.
b. Determine the
& direction
of the resultant moment of the
external loading about A.
15 cm
18 cm
2.2 N-m
B
50 N
45°
10 cm
48 N.m
250 N
60 N
20
21
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100 N
A
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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
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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 13 Solutions
THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<
Ch. 13.3 - What are mass and mole fractions?Ch. 13.3 - Consider a mixture of several gases of identical...Ch. 13.3 - The sum of the mole fractions for an ideal-gas...Ch. 13.3 - Somebody claims that the mass and mole fractions...Ch. 13.3 - Consider a mixture of two gases. Can the apparent...Ch. 13.3 - What is the apparent molar mass for a gas mixture?...Ch. 13.3 - Prob. 7PCh. 13.3 - The composition of moist air is given on a molar...Ch. 13.3 - Prob. 9PCh. 13.3 - Prob. 10P
Ch. 13.3 - A gas mixture consists of 20 percent O2, 30...Ch. 13.3 - Prob. 12PCh. 13.3 - Prob. 13PCh. 13.3 - Consider a mixture of two gases A and B. Show that...Ch. 13.3 - Is a mixture of ideal gases also an ideal gas?...Ch. 13.3 - Express Daltons law of additive pressures. Does...Ch. 13.3 - Express Amagats law of additive volumes. Does this...Ch. 13.3 - Prob. 18PCh. 13.3 - How is the P-v-T behavior of a component in an...Ch. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - Prob. 22PCh. 13.3 - Consider a rigid tank that contains a mixture of...Ch. 13.3 - Prob. 24PCh. 13.3 - Is this statement correct? The temperature of an...Ch. 13.3 - Is this statement correct? The volume of an...Ch. 13.3 - Is this statement correct? The pressure of an...Ch. 13.3 - A gas mixture at 300 K and 200 kPa consists of 1...Ch. 13.3 - Prob. 29PCh. 13.3 - Separation units often use membranes, absorbers,...Ch. 13.3 - Prob. 31PCh. 13.3 - The mass fractions of a mixture of gases are 15...Ch. 13.3 - The volumetric analysis of a mixture of gases is...Ch. 13.3 - An engineer has proposed mixing extra oxygen with...Ch. 13.3 - A rigid tank contains 0.5 kmol of Ar and 2 kmol of...Ch. 13.3 - A mixture of gases consists of 0.9 kg of oxygen,...Ch. 13.3 - Prob. 37PCh. 13.3 - One pound-mass of a gas whose density is 0.001...Ch. 13.3 - A 30 percent (by mass) ethane and 70 percent...Ch. 13.3 - Prob. 40PCh. 13.3 - Prob. 41PCh. 13.3 - A rigid tank that contains 2 kg of N2 at 25C and...Ch. 13.3 - Prob. 43PCh. 13.3 - Prob. 44PCh. 13.3 - Prob. 45PCh. 13.3 - Is the total internal energy of an ideal-gas...Ch. 13.3 - Prob. 47PCh. 13.3 - Prob. 48PCh. 13.3 - Prob. 49PCh. 13.3 - Prob. 50PCh. 13.3 - The volumetric analysis of a mixture of gases is...Ch. 13.3 - A mixture of nitrogen and carbon dioxide has a...Ch. 13.3 - The mass fractions of a mixture of gases are 15...Ch. 13.3 - A mixture of gases consists of 0.1 kg of oxygen, 1...Ch. 13.3 - An insulated tank that contains 1 kg of O2at 15C...Ch. 13.3 - An insulated rigid tank is divided into two...Ch. 13.3 - Prob. 59PCh. 13.3 - A mixture of 65 percent N2 and 35 percent CO2...Ch. 13.3 - Prob. 62PCh. 13.3 - Prob. 63PCh. 13.3 - Prob. 66PCh. 13.3 - Prob. 67PCh. 13.3 - Prob. 68PCh. 13.3 - Prob. 69PCh. 13.3 - The gas passing through the turbine of a simple...Ch. 13.3 - Prob. 71PCh. 13.3 - A pistoncylinder device contains 6 kg of H2 and 21...Ch. 13.3 - Prob. 73PCh. 13.3 - Prob. 74PCh. 13.3 - Prob. 75PCh. 13.3 - Prob. 76PCh. 13.3 - Prob. 77PCh. 13.3 - Prob. 78PCh. 13.3 - Prob. 79PCh. 13.3 - Prob. 81PCh. 13.3 - Fresh water is obtained from seawater at a rate of...Ch. 13.3 - Is it possible for an adiabatic liquid-vapor...Ch. 13.3 - Prob. 84PCh. 13.3 - Prob. 85RPCh. 13.3 - The products of combustion of a hydrocarbon fuel...Ch. 13.3 - A mixture of gases is assembled by first filling...Ch. 13.3 - Prob. 90RPCh. 13.3 - Prob. 91RPCh. 13.3 - Prob. 92RPCh. 13.3 - A rigid tank contains a mixture of 4 kg of He and...Ch. 13.3 - A spring-loaded pistoncylinder device contains a...Ch. 13.3 - Prob. 95RPCh. 13.3 - Reconsider Prob. 1395. Calculate the total work...Ch. 13.3 - Prob. 97RPCh. 13.3 - Prob. 100RPCh. 13.3 - Prob. 101RPCh. 13.3 - Prob. 102FEPCh. 13.3 - An ideal-gas mixture whose apparent molar mass is...Ch. 13.3 - An ideal-gas mixture consists of 2 kmol of N2and 4...Ch. 13.3 - Prob. 105FEPCh. 13.3 - Prob. 106FEPCh. 13.3 - An ideal-gas mixture consists of 3 kg of Ar and 6...Ch. 13.3 - Prob. 108FEPCh. 13.3 - Prob. 109FEPCh. 13.3 - Prob. 110FEPCh. 13.3 - Prob. 111FEP
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