978-0073398242 Chapter 15 Solution Manual Part 4

subject Type Homework Help
subject Pages 9
subject Words 1248
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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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.
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PROBLEM 15.26 (Continued)
(b) Accelerations:
Point on rim of A:
2
2
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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.
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PROBLEM 15.27 (Continued)
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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.
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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.
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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.
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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.
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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.
page-pfa
PROBLEM 15.32 (Continued)

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