
Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 18.4, Problem 4FP
If the wheel starts from rest and rolls Without slipping, determine its angular velocity after it has rotated 10 revolutions. The radius of gyration of the wheel about its mass center G is kG = 0.3 m.
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Stress, ksi
220
200
180
160
140
120
100
80
Question P: Data for an extension spring is shown in the table below. Use only this table for this
question! Also shown is an abridged version of Table 18-2 and figure 18
Spring Material ASTM A228 Music wire
Max Operating Load: Fo=
21
Type of Service =
Average
Estimated Wahl Factor: K =
1.200
Required Mean Diameter: D =
0.550
Design Stress in Wire: Td
90,000
psi
TABLE 18-2 Wire Gages and Diameters for Springs
Gage no.
U.S. steel wire gage¹ (in)
Music wire gage² (in)
0.6
26
0.0181
0.063
27
0.0173
0.067
28
00162
0.071
29
00150
0.075
30
00140
0.080
31
0.0132
0.085
22
0.0128
0.090
33
00118
0.095
34
0.0104
0.100
35
0.0095
0.106
36
0.0090
Wire diameter, mm
Compression and extension springs,
Music Wire, ASTM A228
O'S
5.4
5.8
6.2
0.112
1515
1380
Light service
1240
1100
Average service
965
Severe service
825
690
Wire diameter, in
OLIO
0.190
0120
0.250
550
Stress, MPa
FIGURE 18-9 Design shear stresses for ASTM A228 steel wire
(music wire)
What is the…
Endurance limit,, (psi)
100 000
80 000
60 000
Ground
40 000
20 000
As-rolled
0
50 60
70
80
90
100
110
120
Polished
Machined or
cold drawn
As-forged
130 140 150 160 17
Tensile strength, s, (ksi)
(a) U.S. customary units
What is the minimum shaft diameter of D3 in inches? (Type in a three-decimal number).
Note: We want to know the diameter D3, of the shaft, not the diameter at the base of a ring groove, profile
keyseat or any other geometric feature on the shaft.
Answer:
x (3.008)
Question G: The machined shaft shown in the diagram below has the following components on it:
(A) Sheave
(B) Bearing
(C) Sprocket
(D) Bearing
(E) Spur Gear
Diameter D3 is located underneath Bearing B. Only the sheave at point A, the sprocket at point C and the
spur gear at point E are held in place with rings.
Diameter Dy is located underneath Bearing B. Only the sheave at point A, the sprocket at point C and the
spur gear at point E are held in place with rings.
PPENDIX 3 Design Properties of Carbon and Alloy Steels
Material designation (SAE number) Condition
Tensile strength
Yield strength
(ksi)
(MPa)
(MPa)
Bearing
Bearing
1020
Hot-rolled
55
379
207
V-belt sheave
6.00 in PD
DD
1020
Cold-drawn
61
420
352
Spur gear
Chain sprocket
10.00 in PD
20 FD
12.00 in PD
1020
Annealed
60
414
296
(a) Side view of shaft
10401
Hot-rolled
72
496
290
Belt drive
to conveyor
1040
Cold-drawn
80
552
1040
OQT 1300
88
607
1040
OQT 400
113
779
1050
Hot-rolled
90
620
leput from
water turbine
Gear E drives
Q
to…
Chapter 18 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 18.4 - Determine the kinetic energy of the 100-kg object.Ch. 18.4 - The 80-kg wheel has a radius of gyration about its...Ch. 18.4 - If the rod is at rest when = 0, determine its...Ch. 18.4 - Determine the angular velocity of the rod when the...Ch. 18.4 - If the wheel starts from rest and rolls Without...Ch. 18.4 - If the uniform 30-kg slender rod starts from rest...Ch. 18.4 - When it is subjected to a couple moment of M = 50...Ch. 18.4 - Show that its kinetic energy can be represented a...Ch. 18.4 - If the torsional spring attached to the wheel's...Ch. 18.4 - If the torsional spring attached to the wheel's...
Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - It has a weight of 50 lb and a centroidal radius...Ch. 18.4 - It has a weight of 50 lb and a centro1dal radius...Ch. 18.4 - If it starts from rest, determine its angular...Ch. 18.4 - If the 10-kg block is released from rest,...Ch. 18.4 - Determine the angular velocity of the 20-kg wheel...Ch. 18.4 - Initially, the system is at rest. The reel has a...Ch. 18.4 - The force is always perpendicular to the rod.Ch. 18.4 - Determine the angular velocity of the rod when it...Ch. 18.4 - If it is released from rest in the position shown,...Ch. 18.4 - If the elevator has a mass of 900 kg, the...Ch. 18.4 - If the ring rolls without slipping, determine its...Ch. 18.4 - A motor supplies a torque M = (40 + 900) Nm ,...Ch. 18.4 - When empty it has a mass of 800 kg and a radius of...Ch. 18.4 - If P = 200 N and the 15-kg uniform slender rod...Ch. 18.4 - If it is released from rest, determine how far it...Ch. 18.4 - The windlass A can be considered as a 30-lb...Ch. 18.4 - If the conveyor belt is moving with a speed of Vc...Ch. 18.4 - A couple moment of M = 80 Nm is then applied to...Ch. 18.4 - A couple moment M = 80 Nm is then applied to the...Ch. 18.4 - If the plate is released from rest at = 90,...Ch. 18.4 - If the ring gear C is fixed, determine the angular...Ch. 18.4 - If the rod is released from rest when the spring...Ch. 18.4 - Determine the speed of the sptere's center of mass...Ch. 18.4 - Motor M exerts a constant force of P = 750 Non the...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.4 - If rod CD is subjected to a couple moment M = 30...Ch. 18.4 - The gears roll within the fixed ring gear C, which...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.5 - If the 30-kg disk is released from rest when = 0...Ch. 18.5 - If it is released from rest, determine its angular...Ch. 18.5 - Determine its angular velocity when = 45.The...Ch. 18.5 - Determine the angular velocity of the rod when =...Ch. 18.5 - Determine the angular velocity of the rod when =...Ch. 18.5 - Determine its angular velocity when = 90. The...Ch. 18.5 - If a 2-kg block is suspended from the cord,...Ch. 18.5 - Prob. 37PCh. 18.5 - If it is released from rest at A on the incline,...Ch. 18.5 - The spool has a mass of 20 kg and a radius of...Ch. 18.5 - If the 15-kg block A is released from rest,...Ch. 18.5 - If it is allowed to fall freely determine the...Ch. 18.5 - Gear A has a mass of 10kg and a radius of gyration...Ch. 18.5 - If the rod is released from rest when = 30,...Ch. 18.5 - If the rod is released from rest when = 30,...Ch. 18.5 - The 40-kg wheel has a radius of gyration about its...Ch. 18.5 - If the bars are released from rest when = 60,...Ch. 18.5 - If the bars are released from rest when = 60,...Ch. 18.5 - If it has a mass of 3 kg and a rad1us of gyration...Ch. 18.5 - Lifting is done using the two springs, each of...Ch. 18.5 - If the spring has an unstretched length of 1.5 m,...Ch. 18.5 - If the spring has an unstretched length of 1.5 m,...Ch. 18.5 - The drum has a weight of 50 lb and a radius of...Ch. 18.5 - If the track in which it moves is smooth,...Ch. 18.5 - The pulley has a weight of 50 lb and a rad1us of...Ch. 18.5 - The gear has a weight of 100 lb and a radius of...Ch. 18.5 - Determine the stiffness k of the spring so that...Ch. 18.5 - The slender 6-kg bar AB is horizontal and at rest...Ch. 18.5 - If the spring has an unstretched length of 0.2 m,...Ch. 18.5 - The 500-g rod AB rests along the smooth inner...Ch. 18.5 - The 50-lb wheel has a radius of gyration about its...Ch. 18.5 - The system consists of 60-lb and 20-lb blocks A...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - The end A of the garage door AB travels along the...Ch. 18.5 - The system consists of a 30-kg disk, 12-kg slender...Ch. 18.5 - The system consists of a 30-kg disk A, 12-kg...Ch. 18.5 - If it is released from rest when = 0, determine...Ch. 18.5 - If it is subjected to a torque of M = (91/2+ 1)...Ch. 18.5 - Starting from rest, the suspended 15-kg block B is...Ch. 18.5 - If it is released from rest, determine how far its...Ch. 18.5 - If the rack is originally moving downward at 2...Ch. 18.5 - The spring attached to its end always remains...Ch. 18.5 - If the disk rolls without slipping, determine the...Ch. 18.5 - At the instant the spring becomes undeformed, the...
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