강제진동

소개글

The overall experiment of this report consists of total two experiment. In the first experiments, we apply an external force of a certain frequency to a spring system and find the optimum value of the frequency which would maximize the amplitude of the oscillation. In the second experiment, we attach a wide paper in the pendulum so as to applay air resistance as a damping force and observe the development of the velocity and acceleration.

목차

Ⅰ. Preface
1. Background and Intention
2. Brief Objectives of Experiment

Ⅱ. Theory
1. The Damped Simple Harmonic Motion
2. The Forced Oscillations and Resonances

Ⅲ. Equipment Used

Ⅳ. Procedure
1. Experiment 1 : The Forced Oscillation and Resonance
2. The Damped Oscillation

Ⅴ. Result and Analysis
1. Experiment 1 : Forced Oscillation and Resonance
2. Experiment 2 : Damping Oscillation

Ⅵ. Conclusion

본문내용

Ⅱ. Theory
1. The Damped Simple Harmonic Motion
In the damped oscillation, the motion of the object is resisted by the force so called "damping force". Let us assume that the magnitude of the damping force is proportional to the velocity of the object and its direction is opposite to that of the velocity. Then the displacement of the object with respect to time turns out to follow the following equation (1).
(1)




Ⅵ. Conclusion

In the first experiment, we could verify that the oscillation pattern, the development of the displacement of the object with respect to time, is different for each respective driving angular frequency. We investigated how the displacement amplitude changes with respect to the ratio provided that is the driving angular frequency and is the natural angular frequency. We were able to observe that the displace was maximized when the ratio was 1, implying that the driving angular frequency was equal to the natural angular frequency thereby generating resonance. In the second experiment, we could confirm that the displacement amplitude of the oscillation would exponentially decrease due to the damping force. Moreover, we could also confirm that if the mass were bigger, then the displacement amplitude would decrease more slowly.

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