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Practice Problems 6
1
. Four masses are connected by 12.5 cm long, massless, rigid rods. If
m
A
=110.0 g,
m
B
=241.0 g,
m
C
=205.0 g, and
m
D
=211.0 g, what are the coordinates of the center of mass
if the origin is located at mass A?
Answer:
6.78e02 m 7.27e02 m
(
x
coordinate first followed by the
y
coordinate.)
2
.What is the moment of inertia about a diagonal axis that passes through masses B and
D.
Answer:
2.46e03 kg*m^2
3
. An object's moment of inertia is 2.29 kg·m
2
. Its angular velocity is increasing at the
rate of 5.06 rad/s per second. What is the torque on the object?
Answer:
1.16e+01 N*m
4
. A 3.15 kg ball and a 6.30 kg ball are connected by a 1.31 m long rigid, massless rod.
The rod is rotating clockwise about its center of mass at 24.2 rpm. What torque will bring
the balls to a halt in 6.97 s?
Answer:
1.31e+00 N*m
5
. A potter's wheel—a thick stone disk with a radius of 0.450 m and a mass of 128 kg—is
freely rotating at 52.0 rev/min. The potter can stop the wheel in 5.95 s by pressing a wet
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 Spring '08
 N. MCKAY
 mechanics, Center Of Mass, Mass

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