This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
PROBLEM 15.26
Ring C has an inside radius of 55 mm and an outside radius of 60 mm and is
positioned between two wheels A and B, each of 24-mm outside radius.
Knowing that wheel A rotates with a constant angular velocity of 300 rpm
and that no slipping occurs, determine (a) the angular velocity of the ring C
and of wheel B, (b) the acceleration of the Points on A and B that are in
contact with C.
PROBLEM 15.26 (Continued)
(b) Accelerations:
Point on rim of A:
2
2
24 mm 0.024 m
(0.024 m)(31.416 rad/s)
A
A AA
r
ar
ω
= =
=
=
2
2
PROBLEM 15.27
Ring B has an inside radius
2
r
and hangs from the horizontal
shaft A as shown. Shaft A rotates with a constant angular velocity
of 25 rad/s and no slipping occurs. Knowing that r1 = 12 mm,
r2 = 30 mm, and r3 = 40 mm, determine (a) the angular velocity
of ring B, (b) the accelerations of the points of shaft A and ring B
which are in contact, (c) the magnitude of the acceleration of
point D.
PROBLEM 15.27 (Continued)
PROBLEM 15.28
A plastic film moves over two drums. During a 4-s interval the
speed of the tape is increased uniformly from v0 = 2 ft/s to
v1 = 4 ft/s. Knowing that the tape does not slip on the drums,
determine (a) the angular acceleration of drum B, (b) the
number of revolutions executed by drum B during the 4-s
interval.
PROBLEM 15.29
Cylinder A is moving downward with a velocity of 3 m/s when the brake is
suddenly applied to the drum. Knowing that the cylinder moves 6 m
downward before coming to rest and assuming uniformly accelerated motion,
determine (a) the angular acceleration of the drum, (b) the time required for
the cylinder to come to rest.
PROBLEM 15.30
The system shown is held at rest by the brake-and-drum system shown. After
the brake is partially released at
0,t=
it is observed that the cylinder moves
5 m in 4.5 s. Assuming uniformly accelerated motion, determine (a) the
angular acceleration of the drum, (b) the angular velocity of the drum at
3.5t=
s.
PROBLEM 15.31
A load is to be raised 20 ft by the hoisting system shown. Assuming gear A
is initially at rest, accelerates uniformly to a speed of 120 rpm in 5 s, and
then maintains a constant speed of 120 rpm, determine (a) the number of
revolutions executed by gear A in raising the load, (b) the time required to
raise the load.
PROBLEM 15.32
A simple friction drive consists of two disks A and B. Initially, disk B has a
clockwise angular velocity of 500 rpm, and disk A is at rest. It is known that
disk B will coast to rest in 60 s. However, rather than waiting until both
disks are at rest to bring them together, disk A is given a constant angular
acceleration of 3 rad/s2 counterclockwise. Determine (a) at what time the
disks can be brought together if they are not to slip, (b) the angular velocity
of each disk as contact is made.
PROBLEM 15.32 (Continued)
Trusted by Thousands of
Students
Here are what students say about us.
Resources
Company
Copyright ©2022 All rights reserved. | CoursePaper is not sponsored or endorsed by any college or university.