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39. The freebody diagram is shown below. Let
G
T
be the tension of the cable and
mg
G
be
the force of gravity. If the upward direction is positive, then Newton’s second law is
T
–
mg
=
ma
, where
a
is the acceleration.
Thus, the tension is
T
=
m
(
g
+
a
). We use constant acceleration kinematics (Table 21) to
find the acceleration (where
v
= 0 is the final velocity,
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 Spring '08
 Any
 Physics, Acceleration, Force, Gravity

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