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PHY107 SPRING 2007 EXAM 2
P1.
Three blocks are connected by two massless cords, one of which wraps around a
frictionless pulley with negligible mass (see figure below). Block A can slide on the
table without friction. The masses are
m
A
=30.0 kg,
m
B
= 40.0 kg, and
m
C
=10.0 kg. The
assembly is released from rest at t = 0.
a. (3) Draw a free body diagram for
m
A
. Clearly label the axes.
Make the drawing
separately and not on the figure given below
(also applicable to parts b and c).
b. (3) Draw a free body diagram for
m
B
. Clearly label the axes.
c. (2) Draw a free body diagram for
m
C
. Clearly label the axes.
d. (4) Write down Newton’s second law for
m
A
in both x and y directions.
e. (3) Write down Newton’s second law for
m
B
.
f. (3) Write down Newton’s second law for
m
C
.
g. (4) What is the acceleration
a
of A?
h. (3) What is the tension
T
in the cord connecting B and C?
Hint: The tensions in the two cords are generally not the same.
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A roller coaster goes through a vertical circular section of the track (of radius R =
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 Spring '10
 IA

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