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Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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To carry out dynamic force analysis of the four-bar mechanism shown in the
figure. It is required to find the inertial radius of the links.
Where 2 = 20rad /s (cw), a2 = 160 rad/s2 (cw)
OA= 250mm, OG2= 110mm, AB=300mm, AG3=150mm, BC=300mm, CG4=140mm,
OC=550mm, ZAOC = 60°
The masses & mass moment of inertia of the various members are:
Link
MMI (IG, Kgm2)
2
WN
3
4
Mass, m
20.7kg
9.66kg
23.47kg
Fit
00₂
3
F31
G3
VA
α3
0.01872
0.01105
0.0277
1
(a) Scale: 1 cm = 10 cms
F
ABA
83
Y
ABA
AB
Acceleration
polygon
Scale
1 cm = 20 m/sec²
Note: The listed scales are not perfectly correct, Consider the following values to
find out the correct scale of acceleration polygon.
V₁ = 250×20; 5m/s, VR 4 m/s, VRA = 4.75 m/s
a = 250×20²; 100m/s², a = 250×160; 40m/s²
Transcribed Image Text:To carry out dynamic force analysis of the four-bar mechanism shown in the figure. It is required to find the inertial radius of the links. Where 2 = 20rad /s (cw), a2 = 160 rad/s2 (cw) OA= 250mm, OG2= 110mm, AB=300mm, AG3=150mm, BC=300mm, CG4=140mm, OC=550mm, ZAOC = 60° The masses & mass moment of inertia of the various members are: Link MMI (IG, Kgm2) 2 WN 3 4 Mass, m 20.7kg 9.66kg 23.47kg Fit 00₂ 3 F31 G3 VA α3 0.01872 0.01105 0.0277 1 (a) Scale: 1 cm = 10 cms F ABA 83 Y ABA AB Acceleration polygon Scale 1 cm = 20 m/sec² Note: The listed scales are not perfectly correct, Consider the following values to find out the correct scale of acceleration polygon. V₁ = 250×20; 5m/s, VR 4 m/s, VRA = 4.75 m/s a = 250×20²; 100m/s², a = 250×160; 40m/s²
Find the value of the input torque on the crank-shaft mechanism in following
Figure. The centers of gravity of link 2, 3 and 4 are at G₂, G3 and G4 respectively.
The masses and moments of inertia of the links are: m₂-2 kg, m3 =0.5 kg,
m4 = 0.5 kg, 1G2 = 0.001 kg m², G3 = 0.01 kg m² and 1G4 = 0.002 kg m². It is known
that: 0₂A = 3 cm, AB = 7 cm, AG3 = 2 cm, 0₂ = 60°, w₂=-20 rad/s², a₂ = -100 rad/s²
and that external force P4 has a magnitude of 98 N. consider 03 =338.2° and the
following accelerations for links 3 and 4: G3 = -250.26^i- 849:45^j cm/s², a3 =
174:44 rad/s², aG4 = -25.45^i cm/s², a4 = 0.
A
2
M₁
0₂=G₁₂
G3
3
B=G₁
O
4
P₁
4
Transcribed Image Text:Find the value of the input torque on the crank-shaft mechanism in following Figure. The centers of gravity of link 2, 3 and 4 are at G₂, G3 and G4 respectively. The masses and moments of inertia of the links are: m₂-2 kg, m3 =0.5 kg, m4 = 0.5 kg, 1G2 = 0.001 kg m², G3 = 0.01 kg m² and 1G4 = 0.002 kg m². It is known that: 0₂A = 3 cm, AB = 7 cm, AG3 = 2 cm, 0₂ = 60°, w₂=-20 rad/s², a₂ = -100 rad/s² and that external force P4 has a magnitude of 98 N. consider 03 =338.2° and the following accelerations for links 3 and 4: G3 = -250.26^i- 849:45^j cm/s², a3 = 174:44 rad/s², aG4 = -25.45^i cm/s², a4 = 0. A 2 M₁ 0₂=G₁₂ G3 3 B=G₁ O 4 P₁ 4
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