Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 21, Problem 125RQ
(a)
To determine
The expression for the view factor.
(b)
To determine
The value of view factor.
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(30 pts) Problem 1
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
mgr
4
is applied to the rod. Assume that the bowl is fixed and its rim is in the
horizontal plane.
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M
=
mgr
= -) derive an equation that can be used to
4
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can…
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Chapter 21 Solutions
Fundamentals of Thermal-Fluid Sciences
Ch. 21 - Prob. 1PCh. 21 - By what properties is an electromagnetic wave...Ch. 21 - What is thermal radiation? How does it differ from...Ch. 21 - Prob. 4PCh. 21 - Prob. 5PCh. 21 - Prob. 6PCh. 21 - Prob. 7PCh. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - Prob. 10P
Ch. 21 - A radio station is broadcasting radio waves at a...Ch. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Define the total and spectral blackbody emissive...Ch. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - A small body is placed inside of a spherical...Ch. 21 - Prob. 23PCh. 21 - A thin vertical copper plate is subjected to a...Ch. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - The temperature of the filament of an incandescent...Ch. 21 - The temperature of the filament of an incandescent...Ch. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Define the properties emissivity and absorptivity....Ch. 21 - Define the properties reflectivity and...Ch. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - A furnace that has a 40-cm × 40-cm glass window...Ch. 21 - Prob. 40PCh. 21 - The emissivity of a tungsten filament can be...Ch. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - An opaque horizontal plate is well insulated on...Ch. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - Prob. 50PCh. 21 - What does the view factor represent? When is the...Ch. 21 - How can you determine the view factor F12 when the...Ch. 21 - What are the summation rule and the superposition...Ch. 21 - Prob. 54PCh. 21 - Consider two coaxial parallel circular disks of...Ch. 21 - Consider two coaxial parallel circular disks of...Ch. 21 - Prob. 57PCh. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - Prob. 60PCh. 21 - Determine the four view factors associated with an...Ch. 21 - Prob. 62PCh. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - Prob. 66PCh. 21 - Determine the view factors F13 and F23 between the...Ch. 21 - Prob. 68PCh. 21 - Prob. 69PCh. 21 - Two infinitely long parallel plates of width w are...Ch. 21 - Prob. 71PCh. 21 - Prob. 72PCh. 21 - Prob. 73PCh. 21 - Why is the radiation analysis of enclosures that...Ch. 21 - Prob. 75PCh. 21 - Prob. 76PCh. 21 - Prob. 77PCh. 21 - What are the two methods used in radiation...Ch. 21 - Prob. 79PCh. 21 - Prob. 80PCh. 21 - Prob. 82PCh. 21 - Two black parallel rectangles with dimensions 3 ft...Ch. 21 - Prob. 84PCh. 21 - Prob. 85PCh. 21 - Prob. 86PCh. 21 - Prob. 87PCh. 21 - Prob. 88PCh. 21 - Consider a hemispherical furnace of diameter D = 5...Ch. 21 - A dryer is shaped like a long semicylindrical duct...Ch. 21 - Prob. 91PCh. 21 - Prob. 92PCh. 21 - Prob. 93PCh. 21 - Prob. 94PCh. 21 - Prob. 95PCh. 21 - Prob. 96PCh. 21 - Prob. 97PCh. 21 - Prob. 99PCh. 21 - Prob. 100PCh. 21 - Prob. 101PCh. 21 - Reconsider Prob. 21–101. Using an appropriate...Ch. 21 - Air is flowing between two infinitely large...Ch. 21 - Prob. 104PCh. 21 - Prob. 105PCh. 21 - Prob. 106PCh. 21 - Prob. 107PCh. 21 - Prob. 108PCh. 21 - Prob. 109PCh. 21 - Prob. 111PCh. 21 - Prob. 112PCh. 21 - Prob. 113PCh. 21 - Prob. 114PCh. 21 - A 1-m-diameter spherical cavity is maintained at a...Ch. 21 - Prob. 117RQCh. 21 - Prob. 118RQCh. 21 - Prob. 119RQCh. 21 - Prob. 120RQCh. 21 - Prob. 121RQCh. 21 - Prob. 122RQCh. 21 - Prob. 123RQCh. 21 - Prob. 124RQCh. 21 - Prob. 125RQCh. 21 - Consider an enclosure consisting of eight...Ch. 21 - Consider a cylindrical enclosure with A1, A2, and...Ch. 21 - Two parallel back disks are positioned coaxially...Ch. 21 - Two parallel concentric disks, 20 cm and 40 cm in...Ch. 21 - A dryer is shaped like a long semicylindrical duct...Ch. 21 - Prob. 131RQCh. 21 - Prob. 132RQCh. 21 - Prob. 133RQCh. 21 - Prob. 134RQCh. 21 - A 2-m-internal-diameter double-walled spherical...Ch. 21 - Prob. 136RQCh. 21 - Prob. 137RQCh. 21 - Prob. 138RQ
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