FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119634928
Author: Borgnakke
Publisher: WILEY
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Textbook Question
Chapter 2, Problem 2.6P
Water at room temperature and room pressure has
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A triangular distributed load of max intensity w acts on beam
AB. The beam is supported by a pin at A and member CD,
which is connected by pins at C and D respectively.
Determine the largest load intensity, Wmax, that can be
applied if the pin at D can support a maximum force of
18000 N. Also determine the reactions at A and C
and express each answer in Cartesian components. Assume
the masses of both beam and member ✓ are
negligible.
Dwas
шал
=
A
BY NC SA
2016 Eric Davishahl
C
D
-a-
Ур
-b-
X
B
W
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
6.6 m
b
11.88 m
C
4.29 m
The maximum load intensity is
=
wmax
N/m.
The reaction at A is A =
The reaction at C is
=
i+
Ĵ N.
ĴN.
12
i+
The beam is supported by a pin at B and a roller at C and is
subjected to the loading shown with w =110 lb/ft, and F
205 lb.
a.) If M
=
2,590 ft-lb, determine the support reactions at B
and C. Report your answers in both Cartesian components.
b.) Determine the largest magnitude of the applied couple M
for which the beam is still properly supported in equilibrium
with the pin and roller as shown.
2013 Michael Swanbom
CC
BY NC SA
M
ру
W
B⚫
C
F
ka
b
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
3.2 ft
b
6.4 ft
C
3 ft
a.) The reaction at B is B =
The reaction at C is C =
ĵ lb.
i+
Ĵ lb.
b.) The largest couple that can be applied is M
ft-lb.
==
i+
The beam ABC has a mass of 79.0 kg and is supported by
the rope BDC that runs through the frictionless pulley at D
. The winch at C has a mass of 36.5 kg. The tension in the
rope acts on the beam at points B and C and counteracts
the moments due to the beam's weight (acting vertically at
the midpoint of its length) and the weight of the winch
(acting vertically at point C) such that the resultant moment
about point A is equal to zero. Assume that rope segment
CD is vertical and note that rope segment BD is NOT
necessarily perpendicular to the beam.
a.) Compute the tension in the rope.
b.) Model the two forces the rope exerts on the beam as a
single equivalent force and couple moment acting at point B.
Enter your answer in Cartesian components.
c.) Model the two forces the rope exerts on the beam as a
single equivalent force (no couple) and determine the
distance from A to the point along the beam where the
equivalent force acts (measured parallel to the beam from A
). Enter your answer…
Chapter 2 Solutions
FUNDAMENTALS OF THERMODYNAMICS
Ch. 2 - Are the pressure in the tables absolute or gauge...Ch. 2 - What is the minimum pressure for liquid carbon...Ch. 2 - When you skate on ice, a thin liquid film forms...Ch. 2 - Is it possible to have water vapor at 5 ?Ch. 2 - At higher elevations, as in mountains, air...Ch. 2 - Water at room temperature and room pressure has...Ch. 2 - Can a vapor exist below the triple point...Ch. 2 - Ice cubes can disappear and food can dry out...Ch. 2 - In Example 2.lb, is there any mass at the...Ch. 2 - Prob. 2.10P
Ch. 2 - Locate the state of R410A at 500kPa,10C . Indicate...Ch. 2 - How does a constant-v process for an ideal an as...Ch. 2 - Prob. 2.13PCh. 2 - As the pressure of a gas becomes larger, Z becomes...Ch. 2 - Carbon dioxide at 280K can be in three different...Ch. 2 - Find the lowest temperature at which it is...Ch. 2 - Water at 27C can exist in different phases,...Ch. 2 - Dry ice is the name of solid carbon dioxide. How...Ch. 2 - A substance is at 2MPa and 17C in a rigid tank....Ch. 2 - Determine the phase for each of these cases a....Ch. 2 - Determine the phase of water at a. T260°C.P5MPa b....Ch. 2 - Determine the phase of the substance at the given...Ch. 2 - Give the missing property of PvT and x for water...Ch. 2 - Determine whether refrigerant R410A in each of the...Ch. 2 - Show the states in Problem 2.24 in a sketch of the...Ch. 2 - Fill out the following table for substance...Ch. 2 - Place the two states ab listed in Problem 2.26 as...Ch. 2 - Determine the specific volume for R410A at these...Ch. 2 - Place the three states ac listed in previous...Ch. 2 - Find P and x for CH4 at a. T=155K,v=0.04m3/kg b....Ch. 2 - Give the specific volume of carbon dioxide at 40C...Ch. 2 - You want a pot of water to boil at 105C . How...Ch. 2 - Water at 400kPa a quality of 75 has its pressure...Ch. 2 - Saturated water vapor at 200kPa is in a...Ch. 2 - Saturated liquid water at 60C is put under...Ch. 2 - A constant pressure piston cylinder has water at...Ch. 2 - A glass jar is filled with saturated water at...Ch. 2 - Saturated vapor R4l0A at 60C has to pressure...Ch. 2 - Ammonia at 20C with a quality of 50 and a total...Ch. 2 - Repeat the previous problem if the outlet valve is...Ch. 2 - R134a is in a sealed, rigid vessel of 2m3 as...Ch. 2 - A storage tank holds methane at 120K , with a...Ch. 2 - A 400m3 storage tank is being constructed to hold...Ch. 2 - Carbon dioxide at 6000kPa,40C is cooled in a...Ch. 2 - A pressure cooker has the lid screwed on tight. A...Ch. 2 - A 1m3 tank is filled with a gas at room...Ch. 2 - A pneumatic cylinder (a piston cylinder with air)...Ch. 2 - Is it reasonable to assume that at the given...Ch. 2 - Helium in a steel tank is at 250kPa,300K with a...Ch. 2 - A spherical helium balloon l0m in diameter is at...Ch. 2 - A glass is cleaned in hot water at 35°C and placed...Ch. 2 - Air in a car tire is initially at 10C and 190kPa ....Ch. 2 - A rigid tank of 1m3 contains nitrogen gas at...Ch. 2 - Assume we have three states of saturated vapor...Ch. 2 - Do Problem 2.54 for R-410A Assume we have three...Ch. 2 - Do problem 2.54 for the substance ammonia. Assume...Ch. 2 - A cy1inica1 gas tank 1m long, with an inside...Ch. 2 - Ammonia in a piston cylinder arrangement is at...Ch. 2 - Find the compressibility factor (Z) for saturated...Ch. 2 - Find the compressibility factor for methane at a....Ch. 2 - Find the compressibility for carbon dioxide at 60C...Ch. 2 - What is the percent error in specific volume if...Ch. 2 - Estimate the saturation pressure of R142b at 300K...Ch. 2 - A bottle a volume of 0.1m3 contains butane with a...Ch. 2 - Find the volume of 2kg of ethylene at 270K,2500kPa...Ch. 2 - Argon is kept in a rigid 5m3 tank at 30C and 3MPa...Ch. 2 - A new refrigerant, R152a . is stored as a liquid...Ch. 2 - Determine the pressure of nitrogen at...Ch. 2 - Determine the pressure of nitrogen at...Ch. 2 - Carbon dioxide at 60C is pumped at a very high...Ch. 2 - Solve Problem 2.70 using the Soave EOS. Notice...Ch. 2 - A tank contains 8.35kg of methane in 0.1m3 at 250K...Ch. 2 - Do the previous problem using the Redlich-Kwong...Ch. 2 - Do the Problem 2.72 using the Soave EOS.Ch. 2 - Determine the unknowns of T, v and x if two phase...Ch. 2 - Give the phase and the missing properties of P, T,...Ch. 2 - Refrigerant R410A in a piston/cylinder arrangement...Ch. 2 - Water in a piston cylinder is at 90C,100kPa , and...Ch. 2 - A tank contains 2kg of saturated ammonia vapor at...Ch. 2 - A container with liquid nitrogen at l00K has a...Ch. 2 - Determine the mass of methane gas stored in a 2m3...Ch. 2 - What is the percent error in pressure if the ideal...Ch. 2 - Prob. 2.83PCh. 2 - Use a linear interpolation to estimate the missing...Ch. 2 - Use a linear interpolation to estimate Tsat at...Ch. 2 - Use a double linear interpolation to find the...Ch. 2 - Cabbage needs to be cooked (boiled) at 250 F. What...Ch. 2 - Prob. 2.88EPCh. 2 - If I have 1ft3 of ammonia at 15psia,60F , what is...Ch. 2 - Locate the state of R410A at 30 psia, 20F ....Ch. 2 - A substance is at 300lbf/in.2,65F in a rigid tank....Ch. 2 - For water at 1 atm with a quality of 10 find the...Ch. 2 - Determine the phase of the substance at the given...Ch. 2 - Give the phase and the missing property of P, T,...Ch. 2 - Fill out the following table for substance...Ch. 2 - Give the phase and the specific volume for the...Ch. 2 - Give the missing property of P, T, v, and x for a....Ch. 2 - Saturated liquid water at 150F is put under...Ch. 2 - You want a pot of water to boil at 220F . How...Ch. 2 - Saturated water vapor 240F has its pressure...Ch. 2 - Saturated vapor R4l0A at 100F has its pressure...Ch. 2 - A glass jar is filled with saturated water at 300F...Ch. 2 - A pressure cooker has the lid screwed on tight. A...Ch. 2 - Prob. 2.104EPCh. 2 - Repeat the previous problem if the outlet valve is...Ch. 2 - A cylindrical gas tank 3ft long, with an inside...Ch. 2 - A spherical helium balloon 30ft in diameter is at...Ch. 2 - Helium in a steel tank s at 36psia , 540R with a...Ch. 2 - A 35ft3 rigid tank has propane at 25psia,540R and...Ch. 2 - What is the percent error in specific volume if...Ch. 2 - Air in a car tire is initially at 10F and 30psia ....Ch. 2 - R4l0A at 200psia , 100F is cooled in a closed...Ch. 2 - Refrigerant- 410A in a piston cylinder arrangement...Ch. 2 - A substance is at 70F,300Ibf/in.2 in a 10ft3 tank....Ch. 2 - Estimate the saturation pressure of R142b at 540R...Ch. 2 - Determine the mass of an ethane gas stored in a...Ch. 2 - Determine the pressure of R410Aat100F,v=0.2ft3/ibm...Ch. 2 - What is the percent error in pressure if the ideal...
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