Chapter 26, Problem 14A

What is the relationship between forced vibration and resonance?

To determine

To explain: The relationship between the forced vibrations and resonance.

Answer to Problem 14A

When the forced is applied to object so that it vibrate at a particular frequency which is said to be forced vibrations.

When the forced is applied to object so that it will vibrate at its natural frequency which is said to be resonance.

Explanation of Solution

Introduction:

The sound is a type of vibration energy. When the particles of a material vibrates then the sound is produced.

When the particles of object are disturbed then due to vibration of object particles the sound is produced of different frequencies. The combination of different frequency produces the special sound. Every material has different frequency of vibration which produces a special sound known as natural frequency.

When the external force is applied to an object then it vibrates at a particular frequency which is said to be forced vibration.

When the force is applied to object so that it will vibrate at its natural frequency which is said to be resonance. And due to this resonance the amplitude of vibration will increased.

When the forced vibrations frequency is equal to natural frequency, then resonance occurs.

Conclusion:

Thus when the forced vibrations frequency is equal to natural frequency, then resonance occurs.