Simple Harmonic Motion Lab: Mass and Period Relationship Analysis

[turnerdhr]

Homework Statement

Hi
I just did a physics lab that involved a Simple Harmonic Motion. What I did was have a mass hung on a spring and then put different masses and find their Period (T) and time for 5 cycles going up and down.

RESULTS:

Mass (kg)
0.100
0.150
0.200
0.250
0.300


Time (s) for 5 cycles
2.12
2.36
2.67
3.01
3.35


Period (T)
0.424
0.472
0.53
0.60
0.67



X (meters)
0.04
0.05
0.07
0.95
0.115



So my question is how can i use my data that i collected to get the relation ship between the mass and period and also get the equation close to
T= 2pie * squareroot m/k

Any help Would be apperciated. Thank You for your time.

Homework Equations

T= 2pie * squareroot m/k

The Attempt at a Solution

Before I could get started i had to find my spring constant (k) which i did by putting a 0.2 kg mass and since Fg=Fx I did Fg=mg
=(0.2)(9.8)
= 1.96 N


So Since i knew my total Fx=1.96 N i measured my spring without the mass and got 0.07m as a measurement. So Fx=kx
1.96=0.07k
1.96/0.07=k
k=28 N/m

So I managed to figure out my constant on my spring.
I then started the lab and put different masses and timed the spring go vertically for 5 periods.

 

[rock.freak667]

So you know that T=2π√(m/k), so if you square both sides and then plot a graph of T² vs. m, what would the gradient of that line be equal to?

 

[turnerdhr]

not really sure what you mean by " gradient of that line be equal to? "

thanks for replying

 

[rock.freak667]

not really sure what you mean by " gradient of that line be equal to? "

thanks for replying

Square both sides of the equation and then put it in the form Y=MX+C. M will be the gradient.

 

[turnerdhr]

okay so the slope, again thank you but when i asked my teacher she said you don't have to get exactly the period equation you just have to get and equation fo period vs mass, which i did on winplot.

thank you