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, IG2 = 0.001 kg m², IG3 = 0.01 kg m² and IG4 = 0.002 kg m². It is known that: O₂A = 3 cm, AB = 7 cm, AG3 = 2 cm, 0₂ = 60°, ₂ =-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: ag3 = -250.26^i- 849:45^j cm/s², 174:44 rad/ s², aG4 = -25.45^i cm/s², a4 = 0. A = α3 =

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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, IG2 = 0.001 kg m², IG3 = 0.01 kg m² and IG4
= 0.002 kg m². It is known that: O₂A = 3 cm, AB = 7
cm, AG3 = 2 cm, 0₂ = 60°, ₂ =-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: a3 = -250.26^i- 849:45^j cm/s², α3 =
A3
174:44 rad/ s², aG4 = -25.45^i cm/s², α4 = 0.
a4
A
2
Mo
0
0₂=G₂
G₂
3
B=G4
P₁
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, IG2 = 0.001 kg m², IG3 = 0.01 kg m² and IG4 = 0.002 kg m². It is known that: O₂A = 3 cm, AB = 7 cm, AG3 = 2 cm, 0₂ = 60°, ₂ =-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: a3 = -250.26^i- 849:45^j cm/s², α3 = A3 174:44 rad/ s², aG4 = -25.45^i cm/s², α4 = 0. a4 A 2 Mo 0 0₂=G₂ G₂ 3 B=G4 P₁
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 w220rad /s (cw), a2 = 160 rad/s2 (cw)
OA=
250mm,
OG2=
110mm,
BC=300mm,
AG3=150mm,
OC=550mm, ĐAOC = 60°
The masses & mass moment of inertia of the various
members are:
Link
2
3
4
F₁2 A
Mass, m
20.7kg
9.66kg
23.47kg
3
F₁34
G3
α3
1
(a) Scale: 1 cm = 10 cms
MMI (IG, Kgm2)
0.01872
0.01105
0.0277
ABA
AB=300mm,
CG4=140mm,
b"
Y
ABA
A A
a
AB
b'
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, VB = 4 m/s, VBA = 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 w220rad /s (cw), a2 = 160 rad/s2 (cw) OA= 250mm, OG2= 110mm, BC=300mm, AG3=150mm, OC=550mm, ĐAOC = 60° The masses & mass moment of inertia of the various members are: Link 2 3 4 F₁2 A Mass, m 20.7kg 9.66kg 23.47kg 3 F₁34 G3 α3 1 (a) Scale: 1 cm = 10 cms MMI (IG, Kgm2) 0.01872 0.01105 0.0277 ABA AB=300mm, CG4=140mm, b" Y ABA A A a AB b' 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, VB = 4 m/s, VBA = 4.75 m/s a = 250×20²; 100m/s², a = 250×160; 40m/s²
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