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PROBLEM 17.71 (Continued)
(a) (0.150)(17.0077) 2.55115 m/sv 2.55 m/sv
PROBLEM 17.72
A 9-in.-radius cylinder of weight 18 lb rests on a 6-lb carriage. The
system is at rest when a force
P
of magnitude 2.5 lb is applied as shown
for 1.2 s. Knowing that the cylinder rolls without sliding on the carriage
and neglecting the mass of the wheels of the carriage, determine the
resulting velocity of (a) the carriage, (b) the center of the cylinder.
PROBLEM 17.72 (Continued)
Kinematics.
AB
vvr
9
PROBLEM 17.73
A 9-in.-radius cylinder of weight 18 lb rests on a 6-lb carriage. The system is
at rest when a force
P
of magnitude 2.5 lb is applied as shown for 1.2 s.
Knowing that the cylinder rolls without sliding on the carriage and
neglecting the mass of the wheels of the carriage, determine the resulting
velocity of (a) the carriage, (b) the center of the cylinder.
PROBLEM 17.73 (Continued)
Kinematics.
AB
vvr
9
PROBLEM 17.74
Two uniform cylinders, each of mass
6
m
kg and radius
125
r
mm,
are connected by a belt as shown. If the system is released from rest
when
0,t
determine (a) the velocity of the center of cylinder B at
3s,t (b) the tension in the portion of belt connecting the two
cylinders.
PROBLEM 17.74 (Continued)
Moments about C:
02
11
AA
Ptr mgtr mv r I
7
7
B
r
122
(9.81)(3)
277
AB
vr gt
8.41m/s
Av
(b) Tension in the belt.
g
t
2
(6)(9.81) 16.817 N
Pmr mg
PROBLEM 17.75
Two uniform cylinders, each of mass
6m
kg and radius r125 mm,
are connected by a belt as shown. Knowing that at the instant shown the
angular velocity of cylinder A is 30 rad/s counterclockwise, determine
(a) the time required for the angular velocity of cylinder A to be reduced
to 5 rad/s, (b) the tension in the portion of belt connecting the two
cylinders.
PROBLEM 17.75 (Continued)
Moments about C: 11 2 2
() () 2 () ()
AA A A
I
m v r Ptr mgtr I m v r
(4)(9.81)
(b) Tension in belt between cylinders.
From Equation (1), 2
1(6)(0.125) (30 5)
2
Ptr
(0.55747)(0.125)
Ptr
PROBLEM 17.76
In the gear arrangement shown, gears A and C are attached to rod ABC,
which is free to rotate about B, while the inner gear B is fixed. Knowing
that the system is at rest, determine the magnitude of the couple
M
which
must be applied to rod ABC, if 2.5 s later the angular velocity of the rod is
to be 240 rpm clockwise. Gears A and C weigh 2.5 lb each and may be
considered as disks of radius 2 in.; rod ABC weighs 4 lb.
