
Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 15.4, Problem 62P
If A and B are rolling forward with velocity v and strike C, explain why after collision C and D each move off with velocity v. Why doesn't D move off with velocity 2v? The collision is elastic, e = 1. Neglect the size of each ball.
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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 15 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 15.2 - Determine the impulse of the force for t = 2 s.Ch. 15.2 - Determine the magnitude of the impulse the ground...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the speed of the 25-kg crate when t = 4...Ch. 15.2 - If the car starts from rest, determine its speed...Ch. 15.2 - The traction force developed at the wheels is FD =...Ch. 15.2 - Determine the impulse of his foot on the ball at...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the average tension in each of the two...Ch. 15.2 - If the uniform beam has a weight of 5000 lb,...
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If...Ch. 15.9 - Prob. 141PCh. 15.9 - Air enters the intake scoops S at the rate of 50...Ch. 15.9 - Prob. 143PCh. 15.9 - Prob. 144PCh. 15.9 - Prob. 145PCh. 15.9 - Prob. 146PCh. 15.9 - Prob. 147PCh. 15.9 - Prob. 148PCh. 15.9 - Prob. 149PCh. 15.9 - If the ball then moves horizontally to the right,...Ch. 15.9 - Prob. 2CPCh. 15.9 - If the coefficient of kinetic friction between the...Ch. 15.9 - The coefficient of kinetic friction between the...Ch. 15.9 - If a horizontal force F is applied such that it...Ch. 15.9 - They are traveling along the track with the...Ch. 15.9 - If the projectile penetrates and emerges from the...Ch. 15.9 - If the collision is perfectly elastic (e = 1),...Ch. 15.9 - If A strikes B with a velocity of (vA)1 = 2 m/s as...Ch. 15.9 - If the frame is subjected to a couple M = (8t2 +...
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- 220 200 180 160 140 120 Stress, ksi 100 80 Question O: 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: F₁ = 57 Type of Service Average Estimated Wahl Factor: K= 1.200 Required Mean Diameter: D = 0.850 Design Stress in Wire: 1 = 115,000 psi TABLE 18-2 Wire Gages and Diameters for Springs 0.0181 27 0.0175 Gage no. U.S. steel wire gage (in) Music wire gage² (in) 0063 0.067 28 0.0162 0.071 29 0.0150 0.075 30 00140 0.080 31 0.0132 0085 32 00128 0.090 33 00118 0096 34 0.0104 0.100 35 0.0095 36 0.0090 1.8 Wire diameter, mm 0.106 0.112 5.4 5.8 6.2 1515 Compression and extension springs, Music Wire, ASTM A228. 1380 Light service 1240 Average service 1100 965 Severe service 825 690 P10100 OSO 0 0.150 0.170 061'0 0.210 0.230 F 0.250 550 Stress, MPa Wire diameter, in FIGURE 18-9 Design shear stresses for ASTM A228 steel wire (music…arrow_forwardPlease see attachment.arrow_forwardPlease see attachment.arrow_forward
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