Experimental Analysis: Forced Harmonic Motion and Resonance

[VSKA]

Homework Statement

First of all I would like to clarify that I don't live in an English-speaking country, which means that certain nomenclatures and symbols may be different and may make it difficult to understand, so if you are unable to understand something, I will be happy to help.

Regarding the exercise itself, I need help mainly with questions 3 and 4 that I sent in the original format (excel), as I am not sure if the file will work I am sending images too.

Relevant Equations

The exercise is based on an experiment consisting of a spring-mass system connected to a motor, the goal is to gradually increase the rotation of the motor until the spring enters resonance while amplitude and time data are collected.

 

[haruspex]

The expression you are given for A(ω_F) in qn 3 is wrong. The square root in the denominator should extend right across.
$\sqrt{(\omega_0^2-\omega_F^2)^2}+4\gamma^2\omega_F^2$ would obviously reduce to ${|\omega_0^2-\omega_F^2|}+4\gamma^2\omega_F^2$.
It should be $\sqrt{(\omega_0^2-\omega_F^2)^2+4\gamma^2\omega_F^2}$.
Can you take it from there?