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PROBLEM 15.97
At the instant shown, the velocity of collar A is 0.4 m/s to the
right and the velocity of collar B is 1 m/s to the left. Determine
(a) the angular velocity of bar AD, (b) the angular velocity of
bar BD, (c) the velocity of point D.
PROBLEM 15.97 (C
ontinued)
( )
cos 0.135 0.375 m
BC CD
θ
= +=
/
1.4 3.73 rad/s
0.375
BA
BD
v
CB
ω
= = =
() ( )( )
/
0.3 3.73 1.120 m/s
D A BD
v CD
ω
= = =
()a
/
1.120
0.45
DA
AD
v
AD
ω
= =
2.49 rad/s
AD
=ω
()b
3.73 rad/s
BD
=ω
()c
[
/0.4 m/s
D A DA
=+=v vv
[
1.120+
]
θ
0.835 m/s=
53.6°
0.835 m/s
D
=v
53.6 °
PROBLEM 15.98
Two rods AB and DE are connected as shown. Knowing that
Point D moves to the left with a velocity of 40 in./s, determine
(a) the angular velocity of each rod, (b) the velocity of Point A.
PROBLEM 15.98 (Continued)
PROBLEM 15.99
Describe the space centrode and the body centrode of rod ABD of Problem
15.83. (Hint: The body centrode need not lie on a physical portion of the
rod.)
PROBLEM 15.83 Rod ABD is guided by wheels at A and B that roll in
horizontal and vertical tracks. Knowing that at the instant shown
60
β
= °
and the velocity of wheel B is 40 in./s downward, determine (a) the
angular velocity of the rod, (b) the velocity of Point D.
PROBLEM 15.100
Describe the space centrode and the body centrode of the gear of
Sample Problem 15.6 as the gear rolls on the stationary horizontal
rack.
PROBLEM 15.101
Using the method of Section 15.3, solve Problem 15.60.
PROBLEM 15.60 In the eccentric shown, a disk of 2-in.-radius
revolves about shaft O that is located 0.5 in. from the center A of the
disk. The distance between the center A of the disk and the pin at B is
8 in. Knowing that the angular velocity of the disk is 900 rpm
clockwise, determine the velocity of the block when
30 .
θ
= °
PROBLEM 15.102
Using the method of Section 15.3, solve Problem 15.64.
PROBLEM 15.64 In the position shown, bar AB has an angular velocity
of 4 rad/s clockwise. Determine the angular velocity of bars BD and DE.
PROBLEM 15.102 (Continued)
700 mm/s 0.95455 rad/s
733.33 mm
B
BD
v
CB
ω
= = =
PROBLEM 15.103
Using the method of Section 15.3, solve
Problem 15.65.
PROBLEM 15.65 Linkage DBEF is part
of a windshield wiper mechanism, where
points O, F and D are fixed pinned
connections. At the position shown,
θ
=
60° and link EB is horizontal. Knowing
that link EF has a counterclockwise angular
velocity of 4 rad/s at the instant shown,
determine the angular velocity of links EB
and DB.
