ES 2120
Exam 3
November 16, 2009
________
10 points
Name: ______________________________________________________________________
1) True/False Questions (2 points each).
a.
True
or
False
: The translation of a rigid body is equivalent to a rotation about
an infinitely distant axis.
b.
True
or
False
:
The angular velocity of a rigid body that undergoes plane
motion depends on the reference line from which its angle of rotation is
measured.
c.
True
or
False
:
When a wheel rolls on pavement, the instantaneous center of
the wheel is located on the wheel axle.
d.
True
or
False
:
If the motion of a rigid body is a translation, the moment of the
external forces about any axis is zero.
e.
True
or
False
:
The mass moment of inertia of a rigid body with respect to a
reference axis is proportional to its mass and is a constant that is independent of
the reference axis
________
10 points
2)
Using integration, verify that the mass moment of inertia of the rod about the xx- and yy-
axes equal 1/12ml
2
.
Using the parallel-axis theorem, verify that I
x’x’
and I
y’y’
equal 1/3ml
2
.

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