PROBLEM 14.7 (Continued)
PROBLEM 14.8
Two identical cars A and B are at rest on a loading dock with brakes released. Car C, of a slightly different
style but of the same weight, has been pushed by dockworkers and hits car B with a velocity of 1.5 m/s.
Knowing that the coefficient of restitution is 0.8 between B and C and 0.5 between A and B, determine the
velocity of each car after all collisions have taken place.
PROBLEM 14.8 (Continued)
Relative velocities:
()()
(0 1.35)(0.5)
A
BAB B A
BA
vve vv
vv
CBA
PROBLEM 14.9
A 20-kg base satellite deploys three sub-satellites, each which
has its own thrust capabilities, to perform research on tether
propulsion. The weights of sub-satellite A, B, and C are 4 kg,
6 kg, and 8 kg, respectively, and their velocities expressed in
m/s are given by vA = 4i – 2j + 2k, vB = i + 4j, vC = 2i + 2j +
4k. At the instant shown, what is the angular momentum HO
of the system about the base satellite?
PROBLEM 14.10
For the satellite system of Prob. 14.9, assuming that the
velocity of the base satellite is zero, determine (a) the position
vector r of the mass center G of the system, (b) the linear
momentum mv of the system, (c) the angular momentum HG
of the system about G. Also, verify that the answers to this
problem and to Prob. 14.9 satisfy the equation given in Prob.
14.27.
PROBLEM 14.9 A 20-kg base satellite deploys three sub-
satellites, each which has its own thrust capabilities, to
perform research on tether propulsion. The weights of sub-
satellite A, B, and C are 4 kg, 6 kg, and 8 kg, respectively, and
their velocities expressed in m/s are given by vA = 4i – 2j +
2k, vB = i + 4j, vC = 2i + 2j + 4k. At the instant shown, what
is the angular momentum HO of the system about the base
satellite?
PROBLEM 14.10 (Continued)
PROBLEM 14.11
A system consists of three identical 19.32-lb particles A, B, and C. The
velocities of the particles are, respectively, ,
A
A
vvj
,
BB
vvi
and
.
CC
vvk
Knowing that the angular momentum of the system about
O, expressed in ft lb s
is 1.2 ,
OHk
determine (a) the velocities of
the particles, (b) the angular momentum of the system about its mass
center G.
1.8
22
ijk
PROBLEM 14.11 (Continued)
PROBLEM 14.12
A system consists of three identical 19.32-lb particles A, B, and C. The
velocities of the particles are, respectively, ,
A
A
vvj
,
BB
vvi
and
,
CC
vvk
and the magnitude of the linear momentum L of the system
is 9 lb s.
Knowing that ,
GO
HH
where G
H is the angular
momentum of the system about its mass center G and O
H is the
angular momentum of the system about O, determine (a) the velocities
of the particles, (b) the angular momentum of the system about O.
PROBLEM 14.12 (Continued)
AA BB CC
mmm
vvvr