Plotting T vs M for Hookes Law: Find k

AI Thread Summary
To determine the spring constant k using Hooke's Law, the relationship between tension (T) and mass (M) can be plotted, but the more effective method involves plotting M against T^2. The equation for the time period of a spring-mass system is T = 2(pi) sqrt[m/k], and the gradient of the M vs T^2 plot will provide the value of [k/2(pi)]^2. Rearranging Hooke's Law into a linear form can help clarify the relationship between the variables. The discussion highlights the importance of correctly identifying T as the time period rather than tension for accurate calculations.
sauri
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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?
 
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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
 
hellraiser said:
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.
 
I thought T was the time period. Didn't realize it was the Tension thing. I prefer the F(orce) symbol. :)
 
thank you for your help
 
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