Conceptual Physics (12th Edition)

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

Chapter 21 - Think and Explain: 51

Answer

At the midpoint. Two pieces.

Work Step by Step

It is very important to look at Figure 21.5 when answering this question. If a string vibrates in two segments, as shown in the second diagram in Figure 21.5, a tiny piece of paper can be supported at the midpoint, because there is a node there and the paper won't be thrown off by oscillations. If a string vibrates in three segments, as shown in the third diagram in Figure 21.5, two pieces of paper can be supported on the string, at points that are one-third and two-thirds of the way along the string (i.e., equally spaced from the endpoints and from each other). In general, if a string vibrates in n segments, (n-1) pieces of paper can be supported on the string, at points that are equally spaced from the endpoints and from each other.
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