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.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!