EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
9th Edition
ISBN: 9781119321453
Author: Sonntag
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 4, Problem 4.114P
A
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Fy = 100 N
Fx = 100 N
Z
a = 500 mm
F₂ = 500 N
b = 1000 mm
Figure 2: Schematics for problem 3.
1. Draw the moment (M), axial (N), and shear (S) diagrams. Please note that this is a 3D problem and you
will have moment (M) and shear (S) along two different axes. That means that you will have a total of 5
diagrams.
I tried solving this one but have no idea where I went wrong can you please help me out with this?
Question 1.
A tube rotates in the horizontal xy plane with a constant angular velocity w about the z-axis. A
particle of mass m is released from a radial distance R when the tube is in the position shown.
This problem is based on problem 3.2 in the text.
y
ω
R
m
2R
Figure 1
X
a) Draw a free body diagram of the particle if the tube is frictionless.
b) Draw a free body diagram of the particle if the coefficient of friction between the sides of the
tube and the particle is μs = flk = fl.
c) For the case where the tube is frictionless, what is the radial speed at which the particle
leaves the tube?
d) For the case where there is friction, derive a differential equation that would allow you to
solve for the radius of the particle as a function of time. I'm only looking for the differential
equation. DO NOT solve it.
e) If there is no friction, what is the angle of the tube when the particle exits?
• Hint: You may need to solve a differential equation for the last part. The "potentially…
Chapter 4 Solutions
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Ch. 4 - A temperature difference drives a heat transfer...Ch. 4 - What is the effect can be felt upstream in a flow?Ch. 4 - Prob. 4.3PCh. 4 - Air at 500 kPa is expanded to l00 kPa in two...Ch. 4 - A windmill takes out a fraction of the wind...Ch. 4 - An underwater turbine extracts a fraction of the...Ch. 4 - A liquid water turbine at the bottom of a dam...Ch. 4 - You blow a balloon up with air. What kinds of work...Ch. 4 - Storage tanks of cryogenic liquids (O2,N2,CH4) are...Ch. 4 - A large brewery has a pipe of cross-sectional area...
Ch. 4 - A pool is to be filled with 60m3 water from a...Ch. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - A boiler receives a constant flow of 5000kg/h...Ch. 4 - Prob. 4.15PCh. 4 - Liquid water at 15°C flows out of nozzle straight...Ch. 4 - A nozzle receives an ideal gas flow with a...Ch. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - The wind is blowing horizontally at 30m/s in a...Ch. 4 - Prob. 4.21PCh. 4 - A meteorite hits the upper atmosphere at 3000m/s ,...Ch. 4 - Carbon dioxide is throttled from 20C,2000kPa to...Ch. 4 - Saturated liquid R-410A at 25°C is throttled to...Ch. 4 - Carbon dioxide used as a natural refrigerant flows...Ch. 4 - Liquid water at 180C,2000kPa is throttled into a...Ch. 4 - Methane at 1MPa,250K is throttled through a valve...Ch. 4 - Prob. 4.28PCh. 4 - A steam turbine has an n1et of 3kg/s water at 1200...Ch. 4 - Air at 20m/s,1500K,875kPa with 5kg/s flows into a...Ch. 4 - Solve the previous problem using Table A.7.Ch. 4 - A wind turbine can extract at most a fraction...Ch. 4 - Prob. 4.33PCh. 4 - A liquid water turbine receives 2kg/s water at...Ch. 4 - A small high-speed turbine operating on compressed...Ch. 4 - Prob. 4.36PCh. 4 - What is the specific work one can get from Hoover...Ch. 4 - Prob. 4.38PCh. 4 - R-410A in a commercial refrigerator flows into the...Ch. 4 - A compressor brings nitrogen from 100kPa,290K to...Ch. 4 - A refrigerator uses the natural refrigerant carbon...Ch. 4 - Prob. 4.42PCh. 4 - A compressor brings R-134a from...Ch. 4 - Prob. 4.44PCh. 4 - An exhaust fan in a building should be able to...Ch. 4 - Prob. 4.46PCh. 4 - The air conditioner in a house or a car has a...Ch. 4 - A boiler section boils 3kg/s saturated liquid...Ch. 4 - A superheater takes 3kg/s saturated water vapor in...Ch. 4 - Prob. 4.50PCh. 4 - Carbon dioxide enters a steady-state, steady-flow...Ch. 4 - Prob. 4.52PCh. 4 - A chiller cools liquid water for air-conditioning...Ch. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Liquid nitrogen at 90K,400kPa flows into a probe...Ch. 4 - Liquid glycol flows around an engine, cooling it...Ch. 4 - An irrigation pump takes water from a river at...Ch. 4 - A pipe from one building to another flows water at...Ch. 4 - A river flowing at 0.5m/s across a 1-m-high and...Ch. 4 - Prob. 4.62PCh. 4 - A cutting tool uses a nozzle that generates a...Ch. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71PCh. 4 - Steam at 500kPa,300C is used to heat cold water at...Ch. 4 - A dual-fluid heat exchanger has 5kg/s water...Ch. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - In a co-flowing (same-direction) heat exchanger,...Ch. 4 - An a water counter flowing heat exchanger has one...Ch. 4 - An automotive radiator has glycol at 95°C enter...Ch. 4 - Prob. 4.79PCh. 4 - Prob. 4.80PCh. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - Prob. 4.83PCh. 4 - A de-superheater has a flow of ammonia of 1.5kg/s...Ch. 4 - Prob. 4.85PCh. 4 - A geothermal supply of hot water at 500kPa,150C is...Ch. 4 - Prob. 4.87PCh. 4 - Prob. 4.88PCh. 4 - A flow of 5kg/s water at l00kPa,20C should be...Ch. 4 - A two-stage compressor takes nitrogen ri at...Ch. 4 - The intercooler in the previous problem uses cold...Ch. 4 - Prob. 4.92PCh. 4 - A modern jet engine has a temperature after...Ch. 4 - Prob. 4.94PCh. 4 - Prob. 4.95PCh. 4 - Prob. 4.96PCh. 4 - An initially empty canister of volume 0.2m3 is...Ch. 4 - Repeat the previous problem but use the line...Ch. 4 - A tank contains 1m3 air at 100kPa,300K . A pipe...Ch. 4 - Prob. 4.100PCh. 4 - A 2.5L tank initially is empty, and we want to...Ch. 4 - An insulated 2m3 tank is to be charged with R-134a...Ch. 4 - Repeat the previous problem if the valve is closed...Ch. 4 - A 3m3 ? cryogenic storage tank contains nitrogen...Ch. 4 - Prob. 4.105PCh. 4 - Prob. 4.106PCh. 4 - Prob. 4.107PCh. 4 - A 1-L can of R-410A is at room temperature, 20°C,...Ch. 4 - Steam at 3MPa,400C enters a turbine with a...Ch. 4 - Prob. 4.110PCh. 4 - Assume a setup similar to that of the previous...Ch. 4 - Prob. 4.112PCh. 4 - Three a flows, all at 200 kPa, e connected to the...Ch. 4 - A 1m3,40kg rigid steel tank contains air at 500...Ch. 4 - Prob. 4.115PCh. 4 - Prob. 4.116PCh. 4 - Prob. 4.117PCh. 4 - Prob. 4.118PCh. 4 - Prob. 4.119PCh. 4 - A flow of 2kg/s of water at 500kPa,20C is heated...Ch. 4 - Refrigerant R-410A at l00psia,60F flows at...Ch. 4 - A pool is to be filled with 2500ft3 water from a...Ch. 4 - Prob. 4.123EPCh. 4 - Liquid water at 60 F flows out of a nozzle...Ch. 4 - Prob. 4.125EPCh. 4 - Prob. 4.126EPCh. 4 - Prob. 4.127EPCh. 4 - Nitrogen gas flows into a convergent nozzle at...Ch. 4 - A meteorite hits the upper atmosphere at 10000ft/s...Ch. 4 - Refrigerant R-410A flows out of a cooler at...Ch. 4 - Prob. 4.131EPCh. 4 - Saturated vapor R-410A at 75 psia is throttled to...Ch. 4 - A wind turbine can exact at most a fraction 16/27...Ch. 4 - A liquid water turbine receives 4Ibm/s water at...Ch. 4 - Prob. 4.135EPCh. 4 - What is the specific work one can get from Hoover...Ch. 4 - A small-speed turbine operating on compressed air...Ch. 4 - R.410A in a commercial refigerator flows into the...Ch. 4 - Prob. 4.139EPCh. 4 - An exhaust fan in a building should be able to...Ch. 4 - Carbon dioxide gas enters a steady-state,...Ch. 4 - Prob. 4.142EPCh. 4 - Prob. 4.143EPCh. 4 - Liquid glycol flows around an engine, cooling t as...Ch. 4 - Prob. 4.145EPCh. 4 - Prob. 4.146EPCh. 4 - Prob. 4.147EPCh. 4 - Do the previous problem if the water is just...Ch. 4 - A dual-fluid heat exchanger has l0Ibm/s water...Ch. 4 - Steam at 80psia,600F is used to heat cold water at...Ch. 4 - Prob. 4.151EPCh. 4 - Two flows of air are both at 30 psia one has...Ch. 4 - A de-superheater has a flow of ammonia of 3Ibm/s...Ch. 4 - Prob. 4.154EPCh. 4 - A two-stage compressor takes nitrogen n at...Ch. 4 - The intercooler in the previous problem uses cold...Ch. 4 - Prob. 4.157EPCh. 4 - Prob. 4.158EPCh. 4 - A tank contains l0ft3 of air at 15psia,540R . A...Ch. 4 - Prob. 4.160EPCh. 4 - Prob. 4.161EPCh. 4 - Prob. 4.162EPCh. 4 - Prob. 4.163EPCh. 4 - Prob. 4.164EP
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