PROBLEM 16.39 (Continued)
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.
PROBLEM 16.40 (Continued)
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.
PROBLEM 16.41 (Continued)
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.
PROBLEM 16.42 (Continued)
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.
PROBLEM 16.43 (Continued)
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.