Every object has a natural frequency at which it vibrates most easily. This frequency depends on the object's physical properties, such as its mass and stiffness. When an object is disturbed, it will tend to vibrate at its natural frequency. If an external force is applied at or near the natural frequency, the object will experience resonance, leading to large amplitude vibrations. Understanding natural frequency is crucial in designing structures and systems that can withstand vibrations and avoid catastrophic failures. For example, bridges are designed to avoid resonance with wind or traffic.
Match the term with its definition:
| Term | Definition |
|---|---|
| 1. Natural Frequency | A. The maximum displacement of a vibrating object from its equilibrium position. |
| 2. Resonance | B. The number of cycles of vibration per unit time, measured in Hertz (Hz). |
| 3. Amplitude | C. The phenomenon where an object vibrates with increasing amplitude when subjected to a periodic force at its natural frequency. |
| 4. Frequency | D. The rate at which energy dissipates from a vibrating system. |
| 5. Damping | E. The inherent rate at which an object vibrates when disturbed. |
Complete the following paragraph with the correct terms:
An object's __________ is the frequency at which it vibrates freely. When an external force matches this frequency, __________ occurs, leading to large vibrations. __________ reduces the amplitude of vibrations over time. The __________ is the maximum displacement from equilibrium. Frequency is measured in __________.
Explain, in your own words, why understanding natural frequency is important in the design of bridges and buildings.
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