Virtual Experiment$]$

Use this Matlab live script to investigate a spring that can perform both dampened and undamped oscillation.

Through the code, you can control aspects such as the $m,k$ as well as $c_1$ from eq$.(3).$

This task will also teach and highlight the basic approach to numerical solutions of Ordinary Differential Equations $($ODE$)$ via Matlab.

Q$3$a

Inspect the code, then select values $(m,k,c_1)$ and run the code so you have an underdamped oscillation. Show selected numbers and plots and report on $,{}_0$ as well as $Q.$

Q$3$b

Inspect the code, then select values $(m,k,c_1)$ and run the code so you have an overdamped oscillation. Show selected numbers and plots.