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PROBLEM 15.51
In the simplified sketch of a ball bearing shown, the diameter of the inner
race A is 60 mm and the diameter of each ball is 12 mm. The outer race B
is stationary while the inner race has an angular velocity of 3600 rpm.
Determine (a) the speed of the center of each ball, (b) the angular velocity
of each ball, (c) the number of times per minute each ball describes a
complete circle.
PROBLEM 15.52
A simplified gear system for a mechanical watch is
shown. Knowing that gear A has a constant angular
velocity of 1 rev/h and gear C has a constant angular
velocity of 1 rpm, determine (a) the radius r, (b) the
magnitudes of the accelerations of the points on gear B
that are in contact with gears A and C.
PROBLEM 15.53
Arm ACB rotates about Point C with an angular velocity of
40 rad/s counterclockwise. Two friction disks A and B are
pinned at their centers to arm ACB as shown. Knowing that the
disks roll without slipping at surfaces of contact, determine the
angular velocity of (a) disk A, (b) disk B.
PROBLEM 15.54
Arm ACB rotates about Point C with an angular velocity of
40 rad/s counterclockwise. Two friction disks A and B are
pinned at their centers to arm ACB as shown. Knowing that the
disks roll without slipping at surfaces of contact, determine the
angular velocity of (a) disk A, (b) disk B.
PROBLEM 15.55
Knowing that at the instant shown the velocity of collar A is
900 mm/s to the left, determine (a) the angular velocity of rod ADB,
(b) the velocity of Point B.
PROBLEM 15.56
Knowing that at the instant shown the angular velocity of rod DE is
2.4 rad/s clockwise, determine (a) the velocity A, (b) the velocity of
Point B.
PROBLEM 15.57
Knowing that the disk has a constant angular velocity of 15 rad/s clockwise,
determine the angular velocity of bar BD and the velocity of collar D when
(a)
0,
θ
=
(b)
90 ,
θ
= °
(c)
180 .
θ
= °
PROBLEM 15.57 (
Continued)
()c
180 .
θ
= °
42 in./s
B
v=
2.8
sin , 16.26
10
ββ
= = °
Bar :BD
/
D B DB
= +v vv
D
v
[
42=
]
/DB
v
+
β
10
DB
DB
4.38 rad/s
DB
=
ω
tan
DB
vv
β
=
12.25 in./s
D
=v
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 15.58
The disk has a constant angular velocity of 20 rad/s clockwise.
(a) Determine the two values of the angle
θ
for which the velocity of collar D is
zero. (b) For each of these values of
,
θ
determine the corresponding value of the
angular velocity of bar BD.
