Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 5.4, Problem 5FP
The 25 kg bar has a center of mass at G. If it is supported by a smooth peg at C. a roller at A and cord AB. determine the reactions at these supports.
Prob. F5-5
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You are working as an engineer in a bearing systems design company. The flow of
lubricant inside a hydrodynamic bearing (p = 0.001 kg m-1 s-1) can be approximated
as a parallel, steady, two-dimensional, incompressible flow between two parallel plates.
The top plate, representing the moving part of the bearing, travels at a constant speed,
U, while the bottom plate remains stationary (Figure Q1). The plates are separated by
a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By
applying the above approximations to the Navier-Stokes equations and assuming that
end effects can be neglected, the horizontal velocity profile can be shown to be
y = +h
I
2h = 1 cm
x1
y = -h
u(y)
1 dP
2μ dx
-y² + Ay + B
moving plate
stationary plate
U
2
I2
L = 10 cm
Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm,
into the page.
Question 1
You are working as an engineer in a bearing systems design company. The flow of
lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated
as a parallel, steady, two-dimensional, incompressible flow between two parallel plates.
The top plate, representing the moving part of the bearing, travels at a constant speed,
U, while the bottom plate remains stationary (Figure Q1). The plates are separated by
a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By
applying the above approximations to the Navier-Stokes equations and assuming that
end effects can be neglected, the horizontal velocity profile can be shown to be
1 dP
u(y)
=
2μ dx
-y² + Ay + B
y= +h
Ꮖ
2h=1 cm
1
x1
y = −h
moving plate
stationary plate
2
X2
L = 10 cm
Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm,
into the page.
(a) By considering the appropriate boundary conditions, show that the constants take
the following forms:
U
U
1 dP
A =…
Question 2
You are an engineer working in the propulsion team for a supersonic civil transport
aircraft driven by a turbojet engine, where you have oversight of the design for the
engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can
operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are
asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of
14,000 m. For all parts of the question, you can assume that the flow path of air through
the engine has a circular cross section.
(a)
← intake
normal
shock
472 m/s
A B
(b)
50 m/s
H
472 m/s
B
engine
altitude: 14,000 m
exhaust nozzle
E
F
exit to
atmosphere
diameter: DE = 0.30 m
E
F
diameter: DF = 0.66 m
Figure Q2: Propulsion system for a supersonic aircraft.
a) When the aircraft is at an altitude of 14,000 m, use the International Standard
Atmosphere in the Module Data Book to state the local air pressure and tempera-
ture. Thus show that the aircraft speed…
Chapter 5 Solutions
Engineering Mechanics: Statics
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.4 - Determine the horizontal and vertical components...
Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - The truss is supported by a pin at A and a roller...Ch. 5.4 - Determine the components of reaction at the fixed...Ch. 5.4 - The 25 kg bar has a center of mass at G. If it is...Ch. 5.4 - Determine the reactions at the smooth contact...Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Prob. 11PCh. 5.4 - Determine the components of the support reactions...Ch. 5.4 - Prob. 13PCh. 5.4 - Prob. 14PCh. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the components of reaction at the...Ch. 5.4 - Prob. 17PCh. 5.4 - Determine the tension in the cable and the...Ch. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Determine the magnitude of force at the pin A and...Ch. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 5.4 - Prob. 32PCh. 5.4 - Prob. 33PCh. 5.4 - Prob. 34PCh. 5.4 - Prob. 35PCh. 5.4 - Prob. 36PCh. 5.4 - The boom supports the two vertical loads. Neglect...Ch. 5.4 - The boom is intended to support two vertical loads...Ch. 5.4 - Prob. 39PCh. 5.4 - Prob. 40PCh. 5.4 - Prob. 41PCh. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - Prob. 44PCh. 5.4 - Prob. 45PCh. 5.4 - Three uniform books each having a weight W and...Ch. 5.4 - Prob. 47PCh. 5.4 - Prob. 48PCh. 5.4 - Prob. 49PCh. 5.4 - Prob. 50PCh. 5.4 - Prob. 51PCh. 5.4 - A boy stands out at the end of the diving board,...Ch. 5.4 - The uniform beam has a weight Wand length l and is...Ch. 5.4 - Determine the distance d for placement of the load...Ch. 5.4 - If d = 1 m, and = 30, determine me normal...Ch. 5.4 - Prob. 56PCh. 5.4 - Assuming that the foundation exerts a linearly...Ch. 5.4 - Assuming that the foundation exerts a linearly...Ch. 5.4 - Prob. 59PCh. 5.4 - The 30-N uniform rod has a length of l = 1 m. If s...Ch. 5.4 - The uniform rod has a length I and weight W. It is...Ch. 5.7 - The uniform plate has a weight of 500 lb....Ch. 5.7 - Determine the reactions at the roller support A,...Ch. 5.7 - The rod is supported by smooth journal bearings at...Ch. 5.7 - Determine the support reactions at the smooth...Ch. 5.7 - Determine the force developed in the short link...Ch. 5.7 - Determine the components of reaction that the...Ch. 5.7 - Determine the tension each rope and the force that...Ch. 5.7 - Determine the vertical reactions at the wheels C...Ch. 5.7 - Prob. 64PCh. 5.7 - If these components have weights WA = 45000 Wa =...Ch. 5.7 - Prob. 66PCh. 5.7 - Prob. 67PCh. 5.7 - Prob. 68PCh. 5.7 - Prob. 69PCh. 5.7 - Determine the components of reaction at hinges A...Ch. 5.7 - Prob. 71PCh. 5.7 - Prob. 72PCh. 5.7 - Prob. 73PCh. 5.7 - Prob. 74PCh. 5.7 - Prob. 75PCh. 5.7 - Prob. 76PCh. 5.7 - Determine the horizontal equilibrium force P that...Ch. 5.7 - Determine the components of reaction at A and the...Ch. 5.7 - Compute the x, y, z components of reaction at the...Ch. 5.7 - Determine the magnitude of F2 which will cause the...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Prob. 82PCh. 5.7 - Determine the horizontal tension T in the belt on...Ch. 5.7 - Determine the horizontal tension T in the belt on...Ch. 5.7 - If the roller at 8 can sustain a maximum load of 3...Ch. 5.7 - Determine the normal reaction at the roller A and...Ch. 5.7 - Prob. 87RPCh. 5.7 - Prob. 88RPCh. 5.7 - I he uniform rod of length L and weight W is...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the reactions at the supports A and B...
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