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## Homework Statement

Hi

I just did a physic 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 thier 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.