PROBLEM 17.8 (Continued)
12 5.886 2 36.983 N m
BB k k
UM
Principle of work and energy for cylinder B.
2
1122
: 0 36.983 0.0225
kB
TU T
2
0.0225 36.983 0
Bk
(3)
Solving (1), (2), and (3) simultaneously,
22
22
625 rad/s , 625 rad/s , 0.380
ABk
(a) 25 rad/s
A
25 rad/s
B
(b) 0.380
k
PROBLEM 17.9
The 10-in.-radius brake drum is attached to a larger flywheel which
is not shown. The total mass moment of inertia of the flywheel and
drum is 16 lb
ft
s
2
and the coefficient of kinetic friction between
the drum and the brake shoe is 0.40. Knowing that the initial angular
velocity is 240 rpm clockwise, determine the force which must be
exerted by the hydraulic cylinder if the system is to stop in 75
revolutions.
PROBLEM 17.10
Solve Problem 17.9, assuming that the initial angular velocity of the
flywheel is 240 rpm counterclockwise.
PROBLEM 17.9
The 10-in.-radius brake drum is attached to a
larger flywheel which is not shown. The total mass moment of
inertia of the flywheel and drum is 16 lb
ft
s
2
and the coefficient of
kinetic friction between the drum and the brake shoe is 0.40.
Knowing that the initial angular velocity is 240 rpm clockwise,
determine the force which must be exerted by the hydraulic cylinder
if the system is to stop in 75 revolutions.
PROBLEM 17.11
Each of the gears A and B has a mass of 2.4 kg and a radius of
gyration of 60 mm, while gear C has a mass of 12 kg and a radius
of gyration of 150 mm. A couple M of constant magnitude 10 N m
is applied to gear C. Determine (a) the number of revolutions of
gear C required for its angular velocity to increase from 100 to
450 rpm, (b) the corresponding tangential force acting on gear A.
PROBLEM 17.11 (Continued)
PROBLEM 17.12
Solve Problem 17.11, assuming that the 10-N m couple is applied
to gear B.
PROBLEM 17.11 Each of the gears A and B has a mass of 2.4 kg and
a radius of gyration of 60 mm, while gear C has a mass of 12 kg
and a radius of gyration of 150 mm. A couple M of constant
magnitude 10 N m is applied to gear C. Determine (a) the number
of revolutions of gear C required for its angular velocity to increase
from 100 to 450 rpm, (b) the corresponding tangential force acting
on gear A.
PROBLEM 17.12 (Continued)
PROBLEM 17.13
The gear train shown consists of four gears of the same
thickness and of the same material; two gears are of radius r,
and the other two are of radius nr. The system is at rest when
the couple
M
0
is applied to shaft C. Denoting by I
0
the moment
of inertia of a gear of radius r, determine the angular velocity of
shaft A if the couple
M
0
is applied for one revolution of shaft C.
PROBLEM 17.14
The double pulley shown has a mass of 15 kg and a
centroidal radius of gyration of 160 mm. Cylinder A
and block B are attached to cords that are wrapped on
the pulleys as shown. The coefficient of kinetic
friction between block B and the surface is 0.2.
Knowing that the system is at rest in the position
shown when a constant force P 200 N is applied to
cylinder A, determine (a) the velocity of cylinder A as
it strikes the ground, (b) the total distance that block
B moves before coming to rest.
PROBLEM 17.14 (Continued)