Plotting T vs M for Hookes Law: Find k

[sauri]

In the equation for Hookes law what values do I consider if I was to plot for the value of k?. Would plotting T vs M give me this and would the gradient be equal to k?

 

[hellraiser]

What is the equation for time period?
T = 2(pi) sqrt[m/k]
Plotting the graph of M vs T^2 vs M i.e. T^2 on x-axis will give you the value of [k/2(pi)]^2

 

[Hootenanny]

What is the equation for time period?
T = 2(pi) sqrt[m/k]
Plotting the graph of M vs T^2 vs M i.e. T^2 on x-axis will give you the value of [k/2(pi)]^2

I believe Hooke's law is
$$T = \frac{kx}{l}$$
Hellraiser has given the equation for SHM of a Spring-mass system.

Sauri:
Think of the equation of a straight line:
$$y = mx + c$$
Where m is the gradient, try to rearrange hooke's law into that form.

 

[hellraiser]

I thought T was the time period. Didn't realize it was the Tension thing. I prefer the F(orce) symbol. :)

 

[sauri]

thank you for your help