Vector Mechanics for Engineers: Statics, 11th Edition
11th Edition
ISBN: 9780077687304
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 4.1, Problem 4.5P
A load of lumber of weight W = 25 kN is being raised by mc crane. The weight of boom ABC and the combined weight of truck and driver are as shown. Determine the reaction at each the two (a) front wheels H, (b) rear wheels K.
Fig. P4.5 and P4.6
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You are working as an engineer in a bearing systems design company. The flow of
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The top plate, representing the moving part of the bearing, travels at a constant speed,
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y = +h
I
2h = 1 cm
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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
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engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can
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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
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altitude: 14,000 m
exhaust nozzle
E
F
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diameter: DE = 0.30 m
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a) When the aircraft is at an altitude of 14,000 m, use the International Standard
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Chapter 4 Solutions
Vector Mechanics for Engineers: Statics, 11th Edition
Ch. 4.1 - Two crates, each of mass 350 kg, are placed as...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - A light rod AD is supported by frictionless pegs...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - A gardener uses a 60 N wheelbarrow to transport a...Ch. 4.1 - The gardener of Prob. 4.1 wishes to transport a...Ch. 4.1 - A 2100-lb tractor is used to lift 900 lb of grave....Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...
Ch. 4.1 - 4.7 A T-shaped bracket supports the four loads...Ch. 4.1 - 4.8 For the bracket and loading of Prob. 4.7,...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - 4.10 Three loads are applied as shown to a light...Ch. 4.1 - 4.11 For the beam of Prob. 4.10, determine the...Ch. 4.1 - For the beam of Sample Prob. 4.2, determine the...Ch. 4.1 - The maximum allowable value of each of the...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - Prob. 4.15PCh. 4.1 - Prob. 4.16PCh. 4.1 - Prob. 4.17PCh. 4.1 - Prob. 4.18PCh. 4.1 - The bracket BCD is hinged at C and attached to a...Ch. 4.1 - The ladder AB, of length L and weight W, can be...Ch. 4.1 - 4.21 The 40-ft boom AB weighs 2 kips; the distance...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - A rod AB, hinged at A and attached at B to cable...Ch. 4.1 - Fig. P4.25 and P4.26 4.26 A rod AB, hinged at A...Ch. 4.1 - Prob. 4.27PCh. 4.1 - Determine the reactions at A and C when (a) = 0,...Ch. 4.1 - Prob. 4.29PCh. 4.1 - Prob. 4.30PCh. 4.1 - Neglecting friction, determine the tension in...Ch. 4.1 - Fig. P4.31 and P4.32 4.32 Neglecting friction,...Ch. 4.1 - PROBLEM 4.33 A force P of magnitude 90 lb is...Ch. 4.1 - PROBLEM 4.34 Solve Problem 4,33 for a = 6 in,...Ch. 4.1 - Bar AC supports two 400-N loads as shown. Rollers...Ch. 4.1 - PROBLEM 4.36 A light bar AD is suspended from a...Ch. 4.1 - Prob. 4.37PCh. 4.1 - Prob. 4.38PCh. 4.1 - Prob. 4.39PCh. 4.1 - 4.40 A light bar AB supports a 15-kg block at its...Ch. 4.1 - 4.41 Two slots have been cut in plate DEF, and the...Ch. 4.1 - Prob. 4.42PCh. 4.1 - The rig shown consists of a 1200-lb horizontal...Ch. 4.1 - Fig. P4.43 4.44 For the rig and crate of Prob....Ch. 4.1 - A 175-kg utility pole is used to support at C the...Ch. 4.1 - Knowing that the tension in wire BD is 1300 N,...Ch. 4.1 - Fig. P4.46 and P4.47 4.47 Determine the range of...Ch. 4.1 - Beam AD carries the two 40-lb loads shown. The...Ch. 4.1 - Fig. P4.48 and P4.49 4.49 For the beam and loading...Ch. 4.1 - Prob. 4.50PCh. 4.1 - A uniform rod AB with a length of l and weight of...Ch. 4.1 - Rod AD is acted upon by a vertical force P at end...Ch. 4.1 - A slender rod AB with a weigh of W is attached to...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - A collar B with a weight of W can move freely...Ch. 4.1 - A 400-lb weight is attached at A to the lever...Ch. 4.1 - Prob. 4.58PCh. 4.1 - Eight identical 500 750-mm rectangular plates,...Ch. 4.1 - Prob. 4.60PCh. 4.2 - A 500-lb cylindrical tank, 8 ft in diameter, is to...Ch. 4.2 - 4.62.Determine the reactions at A and B when a =...Ch. 4.2 - Prob. 4.63PCh. 4.2 - Prob. 4.64PCh. 4.2 - Determine the reactions at B and C when a = 30 mm.Ch. 4.2 - Prob. 4.66PCh. 4.2 - Determine the reactions at B and D when b = 60 mm....Ch. 4.2 - For the frame and loading shown, determine the...Ch. 4.2 - A 50-kg crate is attached to the trolley-beam...Ch. 4.2 - One end of rod AB rests in the corner A and the...Ch. 4.2 - For the boom and loading shown, determine (a) the...Ch. 4.2 - Prob. 4.72PCh. 4.2 - Prob. 4.73PCh. 4.2 - Prob. 4.74PCh. 4.2 - Rod AB is supported by a pin and bracket at A and...Ch. 4.2 - Solve Prob. 4.75, assuming that the 170-N force...Ch. 4.2 - Prob. 4.77PCh. 4.2 - Using the method of Sec. 4.2B, solve Prob. 4.22....Ch. 4.2 - Knowing that = 30, determine the reaction (a) at...Ch. 4.2 - Prob. 4.80PCh. 4.2 - Determine the reactions at A and B when = 50....Ch. 4.2 - Determine the reactions at A and B when = 80.Ch. 4.2 - Rod AB is bent into the shape of an arc of circle...Ch. 4.2 - A slender rod of length L is attached to collars...Ch. 4.2 - Prob. 4.85PCh. 4.2 - Prob. 4.86PCh. 4.2 - A slender rod BC with a length of L and weight W...Ch. 4.2 - A thin ring with a mass of 2 kg and radius r = 140...Ch. 4.2 - Prob. 4.89PCh. 4.2 - Prob. 4.90PCh. 4.3 - Two tape spools are attached to an axle supported...Ch. 4.3 - A 12-m pole supports a horizontal cable CD and is...Ch. 4.3 - A 20-kg cover for a roof opening is hinged at...Ch. 4.3 - END-OF-SECTION PROBLEMS 4.91 Two transmission...Ch. 4.3 - Solve Prob. 4.91, assuming that the pulley rotates...Ch. 4.3 - A small winch is used to raise a 120-lb load. Find...Ch. 4.3 - 4.94 A 4 × 8-ft sheet of plywood weighing 34 lb...Ch. 4.3 - A 250 400-mm plate of mass 12 kg and a...Ch. 4.3 - Solve Prob. 4.95 for = 60. 4.95 A 250 400-mm...Ch. 4.3 - 4.97 The 20 × 20-in. square plate shown weighs 56...Ch. 4.3 - 4.98 The 20 × 20-in. square plate shows weighs 56...Ch. 4.3 - An opening in a floor is covered by a 1 1.2-m...Ch. 4.3 - PROBLEM 4.100 Solve Problem 4.99, assuming that...Ch. 4.3 - PROBLEM 4.101 Two steel pipes AB and BC, each...Ch. 4.3 - PROBLEM 4.102 For the pipe assembly of Problem...Ch. 4.3 - PROBLEM 4.103 The 24-lb square plate shown is...Ch. 4.3 - PROBLEM 4.104 The table shown weighs 30 lb and has...Ch. 4.3 - PROBLEM 4.105 A 10-ft boom is acted upon by the...Ch. 4.3 - PROBLEM 4.106 The 6-m pole ABC is acted upon by a...Ch. 4.3 - PROBLEM 4.107 Solve Problem 4.106 for a = 1.5 m....Ch. 4.3 - Prob. 4.108PCh. 4.3 - Prob. 4.109PCh. 4.3 - Prob. 4.110PCh. 4.3 - PROBLEM 4.111 A 48-in. boom is held by a...Ch. 4.3 - PROBLEM 4.112 Solve Problem 4.111, assuming that...Ch. 4.3 - PROBLEM 4.114 The bent rod ABEF is supported by...Ch. 4.3 - Prob. 4.114PCh. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - PROBLEM 4.116 The lid of a roof scuttle weighs 75...Ch. 4.3 - PROBLEM 4.117 A 100-kg uniform rectangular plate...Ch. 4.3 - Solve Prob. 4.117, assuming that cable DCE is...Ch. 4.3 - PROBLEM 4.119 Solve Prob. 4.113, assuming that the...Ch. 4.3 - PROBLEM 4.120 Solve Prob. 4.115, assuming that the...Ch. 4.3 - PROBLEM 4.121 The assembly shown is used to...Ch. 4.3 - PROBLEM 4.122 The assembly shown is welded to...Ch. 4.3 - 4.123 The rigid L-shaped member ABC is supported...Ch. 4.3 - Prob. 4.124PCh. 4.3 - The rigid L-shaped member ABF is supported by a...Ch. 4.3 - Solve Prob. 4.125, assuming that the load at C has...Ch. 4.3 - Three rods are welded together to form a corner...Ch. 4.3 - Prob. 4.128PCh. 4.3 - Frame ABCD is supported by a ball-and-socket joint...Ch. 4.3 - Prob. 4.130PCh. 4.3 - Prob. 4.131PCh. 4.3 - PROBLEM 4.132 The uniform 10kg rod AB is supported...Ch. 4.3 - The frame ACD is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.133, assuming that cable GBH is...Ch. 4.3 - Prob. 4.135PCh. 4.3 - Prob. 4.136PCh. 4.3 - Prob. 4.137PCh. 4.3 - The pipe ACDE is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.138, assuming that wire DF is...Ch. 4.3 - Two 2 4-ft plywood panels, each with a weight of...Ch. 4.3 - Solve Prob. 4.140, subject to the restriction that...Ch. 4 - A 3200-lb forklift truck is used to lift a 1700-lb...Ch. 4 - The lever BCD is hinged at C and attached to a...Ch. 4 - Determine the reactions at A and B when (a) h =0,...Ch. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - PROBLEM 4.146 Bar AD is attached at A and C to...Ch. 4 - PROBLEM 4.147 A slender rod AB, of weight W, is...Ch. 4 - PROBLEM 4.148 Determine the reactions at A and B...Ch. 4 - For the frame and loading shown, determine the...Ch. 4 - PROBLEM 4.150 A 200-mm lever and a 240-mm-diameter...Ch. 4 - The 45-lb square plate shown is supported by three...Ch. 4 - The rectangular plate shown weighs 75 lb and is...Ch. 4 - A force P is applied to a bent rod ABC, which may...
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