Question

Suppose you build a violin with strings of length 5.00 m between two fixed
points. One string with linear mass density 40 g/m is tuned to its
fundamental frequency. The tension in the string is 1600 N. What is the
frequency of second overtone?
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Answer 1

Answer:

Learning Objectives

By the end of this section, you will be able to:

Describe standing waves and explain how they are produced

Describe the modes of a standing wave on a string

Provide examples of standing waves beyond the waves on a string

Throughout this chapter, we have been studying traveling waves, or waves that transport energy from one place to another. Under certain conditions, waves can bounce back and forth through a particular region, effectively becoming stationary. These are called standing waves.

Another related effect is known as resonance. In Oscillations, we defined resonance as a phenomenon in which a small-amplitude driving force could produce large-amplitude motion. Think of a child on a swing, which can be modeled as a physical pendulum. Relatively small-amplitude pushes by a parent can produce large-amplitude swings. Sometimes this resonance is good—for example, when producing music with a stringed instrument. At other times, the effects can be devastating, such as the collapse of a building during an earthquake. In the case of standing waves, the relatively large amplitude standing waves are produced by the superposition of smaller amplitude component waves.

Explanation:

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