We looked at the mass-spring system and determined the spring constant by two different methods. We took measurements of T at 25 oscillations at 6 different masses. We graphed X vs. Mass (added) in grams. We determined the spring constant by using the formula K=1/slope x 9.8m/s. The graph was in agreement with Hooke's Law because it was a straight line. We then squared T and graphed T vs. Mass (added) in grams, and determined the spring constant using 4II/ K=Slope. We also calculated the mass of the spring which was calculated to be 1/3 of the mass of the spring.
100g 61.5cm 26.09sec 1.0436sec 1.089sec
150g 68.0cm 28.99sec 1.1596sec 1.345sec
200g 74.5cm 31.66sec 1.2664sec 1.604sec
250g 81.0cm 34.07sec 1.3628sec 1.857sec
100g 61.5cm 26.01sec 1.0404sec 1.082sec
150g 68.0cm 28.97sec 1.1588sec 1.3428sec
200g 74.5cm 29.61sec 1.2644sec 1.5987sec
250g 81.0cm 32.61sec 1.3044sec 1.7014sec
50g 55.5cm 22.70sec .908sec .8245sec
100g 61.5cm 26.09sec 1.0436sec 1.089sec
150g 68.0cm 28.97sec 1.156sec 1.336sec
200g 74.5cm 31.61sec 1.2644sec 1.599sec
250g 81.0cm 33.97sec 1.3588sec 1.846sec
We used two methods to obtain spring constants. We have also determined the effective mass. We used the static method where a force was exerted on the spring by hanging weight on it. We graphed the x (cm)
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