0

Guest

Courses New

In Fig. 17.19, what value does the amplitude of the forced oscillations approach as the driving frequency ω approaches (a) zero and (b) infinity?

In Fig. 17.19, what value does the amplitude of the forced oscillations approach as the driving frequency ω approaches (a) zero and (b) infinity?

Grade:upto college level

1 Answers

Jitender Pal
askIITians Faculty 365 Points
7 years ago
The forced oscillations occur at the frequency of the external force and not at the natural frequency of the vibrating system. However, the amplitude of the oscillation depends on the relationship between the natural frequency and the frequency of the applied force. Below figure shows the amplitude of the forced vibrations as the driving frequency is varied in the vicinity of the natural frequency w
235-1646_1.PNG
(a) As the driving frequency w approaches zero, the damping will be small. So the amplitude of the forced oscillation increases rapidly as w'' approaches w and reaches its maximum when w'' = w.
(b) As the driving frequency w approaches infinity, the damping will be large. So the amplitude does not increase nearly as rapidly near resonance, and for the largest damping the resonant frequency is even displaced slightly from the natural frequency.

Think You Can Provide A Better Answer ?

Other Related Questions on Wave Motion

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More