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# Chapter 17: Waves and Oscillations

We have just considered general oscillatory behavior. We noticed that the common theme was that the motion could be described as periodic. We now consider a different type of periodic or oscillatory motion called wave motion. We begin with waves traveling in one dimension, but we will then consider waves in two and three dimensions, such as sound, in the next chapter.

# Table of Contents

## Illustrations

- Illustration 17.1: Wave Types.
- Illustration 17.2: Wave Functions.
- Illustration 17.3: Superposition of Pulses.
- Illustration 17.4: Superposition of Traveling Waves.
- Illustration 17.5: Resonant Behavior on a String.
- Illustration 17.6: Plucking a String.
- Illustration 17.7: Group and Phase Velocity.

## Explorations

- Exploration 17.1: Superposition of Two Pulses.
- Exploration 17.2: Measure the Properties of a Wave.
- Exploration 17.3: Traveling Pulses and Barriers.
- Exploration 17.4: Superposition of Two Waves.
- Exploration 17.5: Superposition of Two Waves.
- Exploration 17.6: Make a Standing Wave.

## Problems

- Problem 17.1: Find the frequency of the wave.
- Problem 17.2: Find the velocity of the wave.
- Problem 17.3: Determine the tension in the string.
- Problem 17.4: Properties of the superposition of two waves.
- Problem 17.5: Properties of the superposition of two waves.
- Problem 17.6: Properties of the superposition of two waves.
- Problem 17.7: With what speed do waves propagate on a string?
- Problem 17.8: Determine the mass of the string.
- Problem 17.9: Determine the properties of the wave.
- Problem 17.10: Determine the properties of the traveling wave.
- Problem 17.11: Determine the properties of the standing wave.
- Problem 17.12: Determine the properties of the standing wave.
- Problem 17.13: Determine the wave function.
- Problem 17.14: Determine the properties of a standing wave on a taut string.
- Problem 17.15: Determine the properties of a standing wave on a taut string.
- Problem 17.16: Consider a traveling sinusoidal wave on a string.
- Problem 17.17: Sketch the displacement of the point x = 0 cm.