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53. The freebody diagrams for part (a) are shown below.
G
F
is the applied force and
G
f
is the force exerted by block 1 on block 2. We note that
G
F
is applied directly to block 1
and that block 2 exerts the force
−
G
f
on block 1 (taking Newton’s third law into
account).
(a) Newton’s second law for block 1 is
F
–
f
=
m
1
a
, where
a
is the acceleration. The
second law for block 2 is
f
=
m
2
a
. Since the blocks move together they have the same
acceleration and the same symbol is used in both equations. From the second equation we
obtain the expression
a
=
f
/
m
2
, which we substitute into the first equation to get
F
–
f
=
m
1
f
/
m
2
. Therefore,
f
Fm
mm
=
+
=
+
=
2
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Force

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