Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 19 - Think and Explain: 56

Answer

The vibration frequency of a clamped hacksaw blade decreases if a piece of clay is stuck to middle of the blade. It decreases further if the clay is moved all the way to the free end.

Work Step by Step

Sticking on a wad of clay increases the moment of inertia (rotational inertia) of the system. The restoring force (the springiness of the blade) stays the same, and so everything vibrates more slowly. This decreases the frequency of oscillation. Moving the clay farther from the pivot increases the rotational inertia even more, further decreasing the frequency. Rotational inertia is discussed in Chapter 8.
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