978-0073398242 Chapter 16 Solution Manual Part 7

subject Type Homework Help
subject Pages 9
subject Words 1359
subject Authors Brian Self, David Mazurek, E. Johnston, Ferdinand Beer, Phillip Cornwell

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page-pf1
PROBLEM 16.39 (Continued)
page-pf2
PROBLEM 16.40
Solve Problem 16.39 for
2.00 lb.P=
PROBLEM 16.39 A belt of negligible mass passes between cylinders A and B
and is pulled to the right with a force P. Cylinders A and B weigh,
respectively, 5 and 20 lb. The shaft of cylinder A is free to slide in a vertical
slot and the coefficients of friction between the belt and each of the cylinders
are
0.50
s
µ
=
and
0.40.
k
µ
=
For
3.60 lb,P=
determine (a) whether slipping
occurs between the belt and either of the cylinders, (b) the angular acceleration of
each cylinder.
page-pf3
PROBLEM 16.40 (Continued)
page-pf4
PROBLEM 16.41
Disk A has a mass of 6 kg and an initial angular velocity of 360 rpm
clockwise; disk B has a mass of 3 kg and is initially at rest. The disks
are brought together by applying a horizontal force of magnitude 20 N
to the axle of disk A. Knowing that
0.15
k
µ
=
between the disks and
neglecting bearing friction, determine (a) the angular acceleration of
each disk, (b) the final angular velocity of each disk.
page-pf5
PROBLEM 16.41 (Continued)
page-pf6
PROBLEM 16.42
Solve Problem 16.41, assuming that initially disk A is at rest and disk
B has an angular velocity of 360 rpm clockwise.
PROBLEM 16.41 Disk A has a mass of 6 kg and an initial angular
velocity of 360 rpm clockwise; disk B has a mass of 3 kg and is
initially at rest. The disks are brought together by applying a
horizontal force of magnitude 20 N to the axle of disk A. Knowing
that
0.15
k
µ
=
between the disks and neglecting bearing friction,
determine (a) the angular acceleration of each disk, (b) the final
angular velocity of each disk.
page-pf7
PROBLEM 16.42 (Continued)
page-pf8
PROBLEM 16.43
Disk A has a mass mA = 4 kg, a radius rA = 300 mm, and an initial angular velocity
0
300
ω
=
rpm clockwise. Disk B has a mass mB = 1.6 kg, a radius rB = 180 mm, and
is at rest when it is brought into contact with disk A. Knowing that
0.35
k
µ
=
between the disks and neglecting bearing friction, determine (a) the angular
acceleration of each disk, (b) the reaction at the support C.
page-pf9
PROBLEM 16.43 (Continued)
page-pfa
PROBLEM 16.44
Disk B is at rest when it is brought into contact with disk A, which has an initial
angular velocity
ω
0. (a) Show that the final angular velocities of the disks are
independent of the coefficient of friction
µ
k between the disks as long as
0.
k
µ
(b) Express the final angular velocity of disk A in terms of
ω
0 and the ratio mA/mB of
the masses of the two disks.

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