AB and the velocity of center of disk E. Use the...
Transcript of AB and the velocity of center of disk E. Use the...
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1. The disk D rolls to the left without slipping and has an angular velocity of 3 rad/s. Determine the angular
velocity of link AB and the velocity of center of disk E. Use theMethod of Instantaneous Center of Zero Velocity.
60o
w=3 rad/s
45o
R
R
0.4 m
0.3 m
3R
A
B
D E
R=0.5 m
O1 O2
Instantaneous Center of Zero Velocity
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2. The mechanism used in a marine engine consists of a single crank AB and twoconnecting rods BC and BD. Determine the velocity of the pistons at C and D andangular velocities of rods BC and BD when the crank is in the position shown and hasan angular velocity of 5 rad/s.
s/m.ABv ABB 1205 w
Cv
Dv
P2 (IC of link BD)
P1 (IC of link BC)
Instantaneous Center of Zero Velocity
0.5 m
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s/m.v
ABv
B
ABB
1205
w
Cv
Dv
P2 (IC for link BD)
P1 (IC for link BC)
P2
D
B
30o
105o
45o
0.6
83
m
s/m.v
s/rad.
.
v
.
v
m.DP
m.BP
sin
DP
sin
BP
sin
.
D
BD
DBBD
5180
4641
35406830
1
3540
6830
3010545
50
2
2
22
w
w
P1
C
B60o
75o
45o
0.5
46
m
s/m.v
s/rad.
.
v
.
v
m.BP
m.CP
sin
BP
sin
CP
sin
.
D
BC
CBBC
8960
83151
48905460
1
5460
4890
756045
40
1
1
11
w
w
0.5 m
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Motion Relative to Rotating Axes
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4. The gear has the angular motion shown. Determine the angular velocity and angular
acceleration of the slotted link BC at this instant. The pin at A is fixed to the gear.
w=2 rad/s
a=4 rad/s20.5 m
0.7 m
2 m
O
B
A C
Motion Relative to Rotating Axes
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Kinetics of Rigid Bodies
wAB=w1=10 rad/s (cw)wBC=2.5 rad/s (ccw)aBC=21.09 rad/s2 (ccw)ac=21.204 m/s2 (↑)
5. A compressor is shown in the figure. Member AB is rotating at a constant angular
velocity of 10 rad/s. Member BC has a mass of 2 kg and piston C has a mass of 1 kg. The
pressure p on the circular surface of the piston is 10 kPa. At the instant shown, what are the
forces transmitted by pins B and C?
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6. The unbalanced 20 kg wheel with the mass center at G has a radius of gyration
about G of 202 mm. The wheel rolls down the 20o incline without slipping. In the
position shown. The wheel has an angular velocity of 3 rad/s. Calculate the friction
force F acting on the wheel at this position.
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