Problem 19.?2 The E-kg sphere A is moving toward
the right at 4 mfs when it strikes the end of the S-kg
slender bar 3. The coefcient of restitution is e = 0.4.
The duration ofthe impact is ELEIIIIE seconds. Determine
the magnitude of the average horizonta

Problem 19.8l] The 1-4.6 kg disk rolls toward a
152.4 mm step. The Wheel remains in contact with the
step and does not slip while rolling up onto it. TWhat is
the minimum velocity ii the disk must have in order to
climb up onto the step?
Solution: See the

Problem 19.123 In Problem 19.122, suppose that the
design parameters of the satellites control system
require that the angular velocity of the satellite not
exceed 0.02 radfs. If the astronaut is moving parallel
to the x axis and the position of her cente

Problem 19.100 The ring gear is xed. The mass
and moment of inertia of the sun gear are m3 =
321 kg and IS = 5962 kg-m2_ The mass and moment
of inertia of each planet gear are rm: 2 39.4 kg and
IP = 88.1kgm2. A couple M: 814 Nm is applied to
the sun gear.

Problem 1.9.68 The mass of the ship is 544,000 kg,
and the moment ofinertia of the vessel about its center
ofmass is 4 X 103 kg-m2. Wind causes the ship to drift
sideways at 0.1 mfs and strike the stationary piling at P.
The coefcient of restitution of th

Problem 193'?" In Problem 19.36, if the bars do not
bond together on impact and the coefcient ofrestitution
is s = ISLE, what are the angular velocities of the bars
after the imp act?
5 Dlution: Linear momentum is conserved:
mm = :12th + 211's. III)
Angul

Problem 19.82 The length of the bar is 1 m and its
mass is 2 kg. Just before the bar hits the smooth oor,
its angular velocity is a: = 0 and its center ofniass is
moving downward at 4 mfs. If the coefcient ofrestitu-
tion of the impact is e = 0.4, what is

Problem 19.125 A 7'5 6 N receiverjurnps vertically to
receive a pass and is stationary at the instant he catches
the ball. At the same instant, he is hit at P by a 801 N
linebacker moving horizontally at 4. 6 mfs. The wide re-
ceivers moment of inertia ab

Problem 19.73 A Ill-N slender bar of length if = 2 m
is released from rest in the horizontal position at a height
h=1 m above a peg (Fig. a). A small hook at the end
of the bar engages the peg, and the bar swings om the
peg (Fig. b).
(a) Through what maxi

Problem 19.79 The 14.6 kg disk rolls at ueloeitgw: 4512mm
3.05 mfs toward 3152.4 mm step. The wheel remainsin
contact with the step and does not slip while rolling up
onto it, 1what is the wheels velocity once it is on the
step ,? 152.4 mm
Solution: W

Problem 1.9.93 Each slender bar is 48 cm long and
weighs 2|] N. Bar A is released in the horizontal posi-
tion shown. The bars are smooth, and the coefcient
of restitution of their impact is e = 0.3. Determine the
angle through which 3 swings afterward.
S

Problem 19.114 The homogenous cylindrical disk of
mass m rolls on the horizontal surface with angular
velocity an. If the disk does not slip or leave the slanted
surface when it comes into contact with it, What is the
angular velocity cot of the disk imme

Problem 19.124 A12454 N car skidding on ice strikes
aconcrete abutment at 4.83 kmth. The cars moment of
inertia about its center of mass is 2439 kgm2_ Assume
that the impacting surfaces are smooth and parallel to the
y axis and that the coefcient ofrestit

Problem 19.81 The length cf the bar is 1 m and its
mass is 2 kg. Just hefcre the bar hits the ner, its angu-
lar velccity is ca = I] and its center cf mass is matting
dcwnward at 4 nifs. If the end cfthe har adheres tn the
ner, What is the hars angular VE

Problem 19.95 The moment of inertia of the pulley
is [LE lag-mg. The system is released om rest. Use the
principle of work and energy to determine the velocity
ofthe 1|II-kg cylinder when it has fallen 1 m.
Solution: Cheese a coordinate system with the y

Problem 19.111 The slender bar rotates "ee1y in the
horizontal plane about a vertical shaft at O. The bar
weighs 89' N and its length is 1 .83 m. The slider A weighs
8.9M. If the bars angular velocity is a:- = 10 radis and
the radial component of the velo

Problem 19.105 The system starts from rest with the
4-kg slender bar horizontal. The mass of the suspended
cylinder is 10 kg. What is the angularyelocity of the bar
when it is in the position shown?I
Solution: From the principle of work and energy: U = T;

Problem 19.112 A satellite is deployed with angular
velocity to = l radfs Gig. a). Two internally stored
antennas that span the diameter of the satellite are then
extended, and the satellites angularvelocity decreases to
of (Fig. b). By modeling the satel

Problem 19.116 The 44. 5 N bar falls from rest in the
vertical position and hits the smooth projection at B.
The coefcient of restitution of the impact is s = 0.6
and the duration of the impact is 0.1 s. Determine the
distance E: for which the average for

Problem 19.106 The 0.1kg slender bar and 0.2kg
cylindrical disk are released from rest with the bar
horizontal. The disk rolls on the curved surface. What is
the angular velocity of the bar when it is vertical?
40mm
120mm
Solution: From the principle of w

Problem 19.75 The 1.4 N ball is translating with
velocity 13., = 24.4 mfs perpendicularto thebatjustbefore
impact. The player is swinging the 8.6 N bat with
angular velocity a) = 6n radfs before the impact. Point
C is the bats instantaneous center both be

Problem 19.107 A slender bar of mass m is released
ont rest in the vertical position and allowed to fall.
Neglecting friction and assuming that it remains in
contact with the oor and wall, determine the bars
angular velocity as a function oft?
Solution: T

Prnhlem 19.59 In Prehlern 19.53, if the duratien ef
the ships irnpaet with the piling ie 1|] 5, what is the
magnitude ef the average feree exerted en the ship by
the irnpaet?
Slun: See the anlutien ef'Prehlern 19.63. Let FF he the aver-
age feree exerted

Problem 19.83 The length ofthe bar is 1 m and its
mass is 2 kg. Just before the bar hits the smear: oor, it
has angular velocitv can and its center of mass is moving
downward at 4 mfs. The coefcient ofrestitution of the
impact is e = 0.4. TWhat value ofcu

Problem 19.77 A ID-N slender har oflength E = 2 m
is released Erom rest in the horizontal position at aheight
h = 2 m above a peg (Fig. a). A small hook at the end of
the bar engages the peg, and the bar swings Erom the peg
(Fig. b). What it the bars angu

Problem 19.122 An astronaut translates toward a non
rotating satellite at 1.0i (mfs) relative to the satellite. Her
mass is 136 kg, and the moment of inertia about the
axis throu h her center of mass parallel to the z axis
is 45 kgm _ The mass of the sate

Problem 19.64 The Ill-N har is released from rest
in the 45 position shown. It falls and the end of the
bar strikes the horizontal surface at P. The coefcient
of restitution of the impact is e = III.6. TWhen the bar
rehounds, through what angle relative t

Problem 19.94" The Apollo CSM (A) approaches the
35'3an Space Station (5). The mass of the Apollo is
1%,; = 18 Mg, and the moment ofinertia about the axis
through the center ofrnass parallel to the z axis is L9, =
114 Mg-mz. The mass of the SW is m3 = 6.6

Problem 19.15? The 4-kg bar is released 'om rest in 1m
the horizontal position above the xed projection at A.
The coeicient of restitution of the impact is s = as. [E
What value ofthe distance in would cause the velocity:r of
the bars center ofmass to be

Problem 19.515 The 4-kg bar is released om rest in 1m
the horizontal position above the xed projection at A.
The distance b = 0.35 m. Theinipact of the harwith the $
projection is plastic; that is, the coeicient ofrestitution
oftheimpact is e = III. TWhat