1. determine the angular velocity of link...
TRANSCRIPT
PROBLEMS1. Determine the angular velocity of link OB if the piston has a velocity of 2 m/s to the
right at the instant shown.
Instantaneous Center of Zero Velocity
PROBLEMS2. If the velocity of point A is 3 m/s to the right, determine the velocity of point B andangular velocity of the bar.
Instantaneous Center of Zero Velocity
3. If the center O of the gear is given a velocity of vo=10 m/s, determine the
velocity of the slider block B at the instant shown.
Instantaneous Center of Zero Velocity
vB
P (IC for AB)
vA
vO
30o
30o
PAB
m.ABAPsin
AB
sin
PB
sin
AP60
3012030
m.cos.PB 039130602
C (IC for Gear)
s/rad..OC
vOgear 14357
1750
10
s/rad..
.
AP
vAAB 5728
60
14317
s/m....ACv gearA 143171750125014357
s/m.PBv ABB 6929
AB
4. The flexible band F is attached at E to the rotating
sector and leads over the guide pulley. Determine the
angular velocities of AD and BD for the position shown if
the band has a velocity of of 4 m/s.
FvAv
s/m..OAv
s/rad.
OA
OA
A 52125020
2020
4
Dv
C
OA
AD
BD
s/rad..
.
AC
vA
AD512
20
52
the band has a velocity of of 4 m/s
s/m...CDvADD 8751150512
s/rad..
.
BD
vD
BD57
250
8751
Point O: IC for member OAE (Absolute IC)Point B: IC for link BD (Absolute IC)
Point C : IC for link AD (Relative IC)
5. The oil pumping unit consists of a walking beam AB, connecting rod BC, and crank CD. If the crank rotates at a
constant rate of 6 rad/s (counterclockwise), determine the speed of the rod hanger H at the instant shown. Also find
the angular velocities of members BC and AB.
vC
vB
vH
a
BC
P(IC for BC – connecting rod)
ICs : D (for CD), E (for AB) P (for BC)
aa
o..
.tan 469
72
450 aa
18 m
s/m..CDv CDC 45906
mtan
CP 183
a
s/rad..
BP
v
CP
vBC
BCBC 30
18
45
s/m..BPv
.
BCB 474518330
24818
22
E (IC for AB -walking beam)
s/rad
..
.
EB
v
.
BAB 2
45072
4745
7372
22
s/m..AEv ABH 45722
6. In relation to the elongation of the hydraulic piston AC, the velocity of point A on the
slider is v = 1.25 m/s for the instant when q=36.87o. At this moment BD is horizontal and DE
is vertical. Determine the angular velocities of arms BD and DE and the hydraulic piston AC
for this instant.
200 mm
q
v=1.25 m/s
q
A
q
vr=1.25sinq=0.75 m/s
vq=1.25cosq=1 m/s
qvrvq
s/rad.AC
BC 4250
11
200 mm vD
vB
P (IC for BD)
q
s/radBC 4
75 mm
10
0 m
m
s/m..BCv BCB 5012504
BD
s/rad.
.
mmDPmmBP
DP
v
BP
v
BD
DBBD
2250
50
200250
s/m..DPv BDD 40202
E (IC for ED)
s/rad.
.
DE
vDDE 4
10
40
7. Motion of the roller A against its restraining spring is controlled by the downward
motion of the plunger E. For an interval of motion the velocity of E is v = 0.2 m/s. Determine
the velocity of A when q becomes 90°.
Instantaneous Center of Zero Velocity
vA
vB
A
B
O
D
ICs : O (for OB)
P (for DBA)
P
DBA
vA
vB
A
B
O
D
P
DBA
150 mm
vD
20
0 m
m
a
b
s/m...v
APv
A
DBAA
2770203861
o.tan 5620160
60aa
o.8736o.1353
o.. 5732873690 ab
s/m..cos
.
cos
vvD 2370
5732
20
b
mm.DP 8817060160 22
s/rad..
.
DP
vDDBA 3861
170880
2370
vDv b
b
8. A device which tests the resistance to wear of two materials A and B is shown. If the link
EO has a velocity of 1.2 m/s to the right when q = 45°, determine the rubbing velocity vA.
Instantaneous Center of Zero Velocity
vD
(IC for DOA)P
vo=1.2 m/s
vA
a
D
O C375 mm
q = 45° a
o.sinsin
141745
300125 a
a
mmCO
.coscosCO
375
141730045125
mm.tanPO 6115375 a
s/rad..
.
PO
vODOA 3810
11560
21 s/m....PAv DOAA 762150115603810
(IC for DC)
P
OCa
375 mm