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Forced vibrations, resonance and damping.

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Introduction

Experiment 2: Forced vibrations, resonance and damping. Diagram: Method: We will set up the above diagram using the apparatus and once we have done this we will make sure that everything is working the way it should be. This is because the Edspot light beam galvanometer is an expensive piece of equipment and can be ruined if the circuit is not correctly set up. After this has been done we will carry on with the experiment, we will set RA as close as we can to 100k and to check this we will use a multimeter. This part of the circuit will not be altered. The resistance box will be set to 3000 Ohms but this will be changed throughout the experiment. This resistance box varies the amount of electromagnetic damping to the set figure. ...read more.

Middle

x500? x1000? x3000? 0.10 1.00 1.15 1.13 1.18 0.20 0.95 1.20 1.22 1.22 0.30 0.80 1.35 1.38 1.38 0.40 0.65 1.70 1.95 2.08 0.42 0.62 1.79 2.13 2.25 0.44 0.60 1.88 2.43 2.68 0.46 0.57 1.98 2.70 3.25 0.48 0.55 2.08 3.10 4.40 0.50 0.52 2.10 3.40 5.50 0.52 0.50 2.08 3.60 6.98 0.54 0.48 2.00 3.53 7.45 0.56 0.45 1.80 3.25 5.88 0.58 0.42 1.72 2.73 4.35 0.60 0.40 1.55 2.32 3.18 0.70 0.35 0.95 1.13 1.25 0.80 0.30 0.62 0.72 0.75 0.90 0.25 0.45 0.50 0.52 1.00 0.20 0.35 0.40 0.38 1.10 0.18 0.28 0.30 0.28 From the above results table we can see that as the frequency increases so does the amplitude. However as it reaches its natural frequency the amplitude reaches its peak and after its natural frequency the amplitude begins to decrease again. ...read more.

Conclusion

and 500? the same rule applies, however, with these graphs the height to which the amplitude gets to is lower. For example, for 1000? the highest amplitude was 3.60 and for 500? its only 2.10 cm. Another factor/point we can see from the table of results and the graph is for the amplitude, which we used 100 ohms. These results were generally a decline and there was no relationship for this line like the others. The graph shows the straight line achieved by this. Therefore, as the amount of resistance decreases from 3000? the electromagnetic damping of the galvanometer coil increases. Throughout the experiment we forced the oscillation using the equipment and this allowed us to see when resonance occurs. Furthermore, the amplitude at resonance depends on the amount of damping in the system, which we changed through the experiment. The amount of damping we used during the experiment was controlled by means of a variable resistor connected in parallel with it. Amir Farooq ...read more.

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