Damping data problem

Problem. I have stored data from the numerical solution of a unforced damped mass-spring system in a Maple V (release 4) data file. Your job is to download this file, analyze the data, and determine the the ratios gamma/mass and k/mass. (This is equivalent to assuming mass=1.)

Step 1. Do problem 21 in section 3.8.

Step 2. Given gamma, the quasi-frequency (ľ), and the mass (m), show how to find the spring constant k.

Step 3. Download this data file: datafile.m.

Step 4. Run Maple. Upload the data file with the command: read `datafile.m`; It is important that you use the backwards single quotes.

Step 5. You can plot the data file with the command: plot(datafile,0..10);

Step 6. Zoom in and measure whatever you need to apply Step 1.

Step 7. The numbers I used for gamma and k have 5 decimal places. Make sure your answers are accurate to at least 2 decimal places. Can you get more decimal places?

Step 8. If you want you can display the entire data file contents with the command: map(print, datafile): But be forewarned, this can take a long time.

Hint: You should get gamma is 1.***** and k is 2.*****.