Question: A harmonic oscillator can be approximated by an oscillating mass attached to a spring under the effect of a force of type F=kx. The motion
A harmonic oscillator can be approximated by an oscillating mass attached to a spring under the effect of a force of type F=kx. The motion produced of this type is given by an oscillator x=Asin(2fx+)+x0 where A is an amplitude of oscillation, f is a frequency of oscillation, is a phase and x0 is an equilibrium position of the oscillator. In an experiment with a harmonic oscillator, the position (x) of the mass was averaged as a function of time (t). The data obtained are shown in the table below.
| t (s) | x (m) |
| 0 | 2,80 |
| 1 | 2,54 |
| 2 | 2,61 |
| 3 | 2,99 |
| 4 | 3,43 |
| 5 | 3,46 |
| 6 | 3,21 |
| 7 | 2,79 |
| 8 | 2,47 |
| 9 | 2,63 |
| 10 | 3,00 |
| 11 | 3,37 |
| 12 | 3,46 |
| 13 | 3,23 |
| 14 | 2,78 |
| 15 | 2,50 |
| 16 | 2,60 |
Build a graph and from an adjustment of the presented function find the values of the parameters with their uncertainties.
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