PROBLEM 16.100
A drum of 60–mm radius is attached to a disk of 120–mm radius. The
disk and drum have a total mass of 6 kg and a combined radius of
gyration of 90 mm. A cord is attached as shown and pulled with a force
P of magnitude 20 N. Knowing that the disk rolls without sliding,
determine (a) the angular acceleration of the disk and the acceleration
of G, (b) the minimum value of the coefficient of static friction
compatible with this motion.
PROBLEM 16.101
A drum of 60–mm radius is attached to a disk of 120–mm radius. The disk and
drum have a total mass of 6 kg and a combined radius of gyration of 90 mm. A
cord is attached as shown and pulled with a force P of magnitude 20 N.
Knowing that the disk rolls without sliding, determine (a) the angular
acceleration of the disk and the acceleration of G, (b) the minimum value of
the coefficient of static friction compatible with this motion.
PROBLEM 16.102
A drum of 4–in. radius is attached to a disk of 8–in. radius. The disk and
drum have a combined weight of 10 lb and a combined radius of
gyration of 6 in. A cord is attached as shown and pulled with a force P of
magnitude 5 lb. Knowing that the coefficients of static and kinetic
friction are
0.25
s
µ
=
and
0.20,
k
µ
=
respectively, determine (a)
whether or not the disk slides, (b) the angular acceleration of the disk
and the acceleration of G.
PROBLEM 16.103
A drum of 4–in. radius is attached to a disk of 8–in. radius. The disk and
drum have a combined weight of 10 lb and a combined radius of
gyration of 6 in. A cord is attached as shown and pulled with a force P
of magnitude 5 lb. Knowing that the coefficients of static and kinetic
friction are
0.25
s
µ
=
and
0.20,
k
µ
=
respectively, determine
(a) whether or not the disk slides, (b) the angular acceleration of the disk
and the acceleration of G.
PROBLEM 16.104
A drum of 4–in. radius is attached to a disk of 8–in. radius. The disk and
drum have a combined weight of 10 lb and a combined radius of
gyration of 6 in. A cord is attached as shown and pulled with a force P
of magnitude 5 lb. Knowing that the coefficients of static and kinetic
friction are
0.25
s
µ
=
and
0.20,
k
µ
=
respectively, determine (a) whether
or not the disk slides, (b) the angular acceleration of the disk and the
acceleration of G.
PROBLEM 16.104 (Continued)
(b) Angular acceleration.
( ) : ft (5 lb) ft
MM F I
a
Σ=Σ − =
PROBLEM 16.105
A drum of 4–in. radius is attached to a disk of 8–in. radius. The disk and drum
have a combined weight of 10 lb and a combined radius of gyration of 6 in. A
cord is attached as shown and pulled with a force P of magnitude 5 lb.
Knowing that the coefficients of static and kinetic friction are
0.25
s
µ
=
and
0.20,
k
µ
=
respectively, determine (a) whether or not the disk slides, (b) the
angular acceleration of the disk and the acceleration of G.
PROBLEM 16.105 (Continued)
(b) Angular acceleration.
48
( ) : (5 lb) ft ft
MM F I
a
Σ=Σ − =
PROBLEM 16.106
A 12–in.–radius cylinder of weight 16 lb rests on a 6–lb carriage. The
system is at rest when a force P of magnitude 4 lb is applied. Knowing
that the cylinder rolls without sliding on the carriage and neglecting the
mass of the wheels of the carriage, determine (a) the acceleration of the
carriage, (b) the acceleration of Point A, (c) the distance the cylinder
has rolled with respect to the carriage after 0.5 s.
PROBLEM 16.106 (Continued)
eff
( ):0
C C A AA
M M I mar
a
Σ=Σ = +
Substituting from Eqs. (1) and (2),
0
AB
A AA
aa
I mar
r
−
= +