1020 Solutions Manual
A ball is dropped from rest from a height
h0D1:5
m. The impact between the ball
and the floor has a COR
eD0:92
. Find the formula that allows you to compute the
rebound height
hi
of the
i
th rebound. Furthermore, find the formula that provides
the total time required to complete
i
rebounds. Finally, compute the time
tstop
that the ball will take to stop bouncing. Hint: A formula you may find useful
in the solution of this problem is that of the limit value of a geometric series:
PN1
iD0eiD.eN1/=.e 1/, with jej<1.
Solution
Dynamics 2e 1021
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.
Problem 5.107
Consider the situation depicted in the figure. At the instant shown, how are the
angular momenta of particle Pwith respect to Oand Qrelated?
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 1023
Problem 5.108
Consider the situation depicted in the figure. At the instant shown, how are the
angular momenta of particle Pwith respect to Oand Qrelated?
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.
Problem 5.109
At the instant shown, a truck
A
, of weight
WAD31;000 lb
, and a car
B
, of weight
WBD3970 lb
, are traveling with speeds
vAD35 mph
and vBD34 mph, respectively.
Choosing point
O
as the moment center, determine the angular
momentum (with respect to
O
) of
A
and
B
individually at this
instant.
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 1025
Problem 5.110
At the instant shown, a truck
A
, of weight
WAD31;000 lb
, and a car
B
, of weight
WBD3970 lb
, are traveling with speeds
vAD35 mph
and vBD34 mph, respectively.
Choosing point
O
as the moment center, determine the angular
momentum (with respect to
O
) of the particle system formed by
A
and Bat this instant.
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.
Problem 5.111
At the instant shown, a truck
A
, of weight
WAD31;000 lb
, and a car
B
, of weight
WBD3970 lb
, are traveling with speeds
vAD35 mph
and vBD34 mph, respectively.
Choosing point
Q
as the moment center, determine the angular
momentum (with respect to
Q
) of the particle system formed by
A
and Bat this instant.
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 1027
Problem 5.112
At time
t1D0
, particle
A
weighing
5oz
goes through point
P
of
.x; y; ´/
coordinates
.0; 2; 3/ ft
with a velocity
Ev.t1/D.3 O{C5O|C7O
k/ ft=s
. At time
t2
,
A
goes through a point
Q
of coordinates
.1; 0; 1/ ft
, and with a velocity
Ev.t2/D.1 O{C2O|C3O
k/ ft=s.
Determine the angular momentum of
A
with respect to the origin
O
at times
t1and t2.
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.
Problem 5.113
At time
t1D0
, particle
A
weighing
5oz
goes through point
P
of
.x; y; ´/
coordinates
.0; 2; 3/ ft
with a velocity
Ev.t1/D.3 O{C5O|C7O
k/ ft=s
. At time
t2
,
A
goes through a point
Q
of coordinates
.1; 0; 1/ ft
, and with a velocity
Ev.t2/D.1 O{C2O|C3O
k/ ft=s.
Determine the time rate of change of the angular momentum of
A
relative
to the origin
O
at times
t1
and
t2
if the acceleration of
A
at times
t1
and
t2
is
Ea.t1/D.1 O{C2O|C3O
k/ ft=s2
and
Ea.t2/D.9 O{C8O|C7O
k/ ft=s2
, respectively.
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 1029
Problem 5.114
Referring to Problems 5.112 and 5.113, is it possible to compute the velocity
and acceleration of A?
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.