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1000 Solutions Manual
Problem 5.95
Ball
B
is stationary when it is hit by an identical ball
A
as shown, with
ˇD45ı
.
The preimpact speed of ball Ais v0D1m=s.
Determine the postimpact velocity of ball
A
if the COR of the collision
eD0:8.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1001
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
1002 Solutions Manual
Problem 5.96
Car
B
is traveling with a speed
v
B
when it collides with an identical car
A
moving as shown and with a speed v
AD2ft=s. The angle ˇis equal to 50ı.
Determine
v
B
if the COR of the collision is
eD0:6
and the postimpact
speed of Ais equal to 78% of its preimpact value.
Solution
We model the impact of
A
and
B
as an unconstrained oblique central
Dynamics 2e 1003
A/v
BmA.1 Ce/v
Acos ˇ
C
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
1004 Solutions Manual
Problem 5.97
Car
B
is traveling with a speed
v
B
when it collides with an identical car
A
moving as shown and with a speed v
AD2ft=s. The angle ˇis equal to 50ı.
Determine the COR of the collision
e
if
v
BD3ft=s
and the postimpact
speed of Bis 30% of its preimpact value.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
1006 Solutions Manual
Problem 5.98
On a billiard table, the COR
e
for the impact between a ball and any
of the four bumpers should be the same. Assuming that this is the
case, determine the angle
ˇ
after two banks as a function of the initial
incidence angle ˛.
Solution
In studying the collision between the ball and the bumper, we model the bumper as a stationary object. We
Dynamics 2e 1007
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
1008 Solutions Manual
Problem 5.99
Two spheres,
A
and
B
, with masses
mAD1:35 kg
and
mBD
2:72 kg
, respectively, collide with
v
AD26:2 m=s
, and
v
BD
22:5 m=s.
Compute the postimpact velocities of
A
and
B
if
˛D45ı
,
ˇD16ı
, the COR is
eD0:57
, and the contact between
A
and
B
is frictionless.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 1009
Problem 5.100
Two spheres,
A
and
B
, with masses
mAD1:35 kg
and
mBD
2:72 kg
, respectively, collide with
v
AD26:2 m=s
, and
v
BD
22:5 m=s.
Compute the postimpact velocities of
A
and
B
if
˛D45ı
,
ˇD16ı
, the COR is
eD0
, and the contact between
A
and
B
is
frictionless.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
