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MEEG
4003
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Midterm Exam
(Part B)
2.
(30%)
A spacecraft approaches the planet Ve
nus along a hyperbolic trajectory
SQ
of eccen
tricity
ε
= 2 as shown. As it reaches the vertex
Q
of the trajectory
SQ
, its retrorockets are fired
momentarily to decrease its speed and insert itself
into an elliptic orbit as indicated. The ratio of the
mass of Venus to the mass of the Earth is known
to be 0.8144. For the spacecraft, determine (
a
) its
speed as it approaches
Q
, (b) its speed after the
firing of the retrorockets, (
c
) the time
t
QP
elapsed
as it travels from
Q
to
P
.
3.
(
30%)
Refer to the fourbar linkage shown. It is
known that
a
=
b
= 3 ft,
c
= 4 ft,
d
= 8 ft, and the
crank
AB
rotates with angular acceleration
α
AB
=
6 rad/s
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