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Chapter 4: Problem 71

Explain the concept of resonance.

Short Answer

Expert verified
Answer: Resonance is a phenomenon that occurs when a vibrating system or external force drives another system to oscillate with greater amplitude at a specific frequency called the resonance frequency. It is an important concept in various fields because understanding it helps us exploit beneficial applications like music and communication or prevent disasters like structural failures.

Step by step solution

01

Introduction

Resonance is a common phenomenon that occurs when a vibrating system or external force drives another system to oscillate at greater amplitudes at a particular frequency, known as resonance frequency. It is observed in various fields such as physics, chemistry, biology and engineering.
02

Resonance Frequency

Every object or system has a natural frequency at which it tends to oscillate. Resonance takes place when an external force or system exactly matches this natural frequency, causing the energy transfer between the systems to be at its maximum. This precise frequency is referred to as the resonance frequency.
03

Increase in Amplitude

When resonance occurs, the amplitude of the oscillations is significantly increased due to the energy transfer being at its maximum. Higher amplitudes can result in dramatic effects on the oscillating system, leading to either desirable or undesirable outcomes.
04

Examples

One of the most well-known examples of resonance can be observed in musical instruments like guitars, which produce sound by amplifying the strings' vibrations through the vibrating air inside the body. Another example is the resonance observed in the collapse of bridges under specific conditions, such as the Tacoma Narrows Bridge in 1940, where wind-induced vibrations led to dramatic oscillations and, eventually, destruction. Another example can be found in electrical circuits. In an RLC circuit (consisting of a resistor, inductor, and capacitor), resonance occurs when the inductive reactance equals the capacitive reactance, maximizing the transfer of energy between the inductor and capacitor.
05

Conclusion

To sum it up, resonance occurs when a vibrating system or external force drives another system to oscillate with greater amplitude at a specific frequency called the resonance frequency. Understanding this phenomenon is of immense importance in various fields, as it can help us to exploit it in beneficial ways, such as music and communication, or prevent it from causing disasters, such as structural failures.

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