As the driving frequency gets progressively higher than the resonant or natural frequency, the amplitude of the oscillations becomes smaller until the oscillations nearly disappear, and your finger simply moves up and down with little effect on the ball. A system being driven at its natural frequency is said to resonate. The phenomenon of driving a system with a frequency equal to its natural frequency is called resonance. When you drive the ball at its natural frequency, the ball’s oscillations increase in amplitude with each oscillation for as long as you drive it. As you increase the frequency at which you move your finger up and down, the ball responds by oscillating with increasing amplitude. If you move your finger up and down slowly, the ball follows along without bouncing much on its own. At first, you hold your finger steady, and the ball bounces up and down with a small amount of damping. Imagine the finger in the figure is your finger. Most of us have played with toys involving an object supported on an elastic band, something like the paddle ball suspended from a finger in (Figure). Recall that the natural frequency is the frequency at which a system would oscillate if there were no driving and no damping force. The driving force puts energy into the system at a certain frequency, not necessarily the same as the natural frequency of the system. In this section, we briefly explore applying a periodic driving force acting on a simple harmonic oscillator. This is a good example of the fact that objects-in this case, piano strings-can be forced to oscillate, and oscillate most easily at their natural frequency. It will sing the same note back at you-the strings, having the same frequencies as your voice, are resonating in response to the forces from the sound waves that you sent to them. Sit in front of a piano sometime and sing a loud brief note at it with the dampers off its strings ( (Figure)). INFANS Baby Diaper Table, Portable Infant Changing Station with Safety Belt, Large 483 89. List the characteristics of a system oscillating in resonance.Explain the concept of resonance and its impact on the amplitude of an oscillator.List the equations of motion associated with forced oscillations. By the end of this section, you will be able to: Changing Table Topper, Changing Tray, Removable Changing Tray, Nursery Organizer, Diaper Changer Topper, Diaper Caddy SimreHomeLiving (1,929) 39.
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