Finding spring constant k in N/m

AI Thread Summary
To find the spring constant k, the relationship between mass, gravitational force, and displacement is used, but the initial calculation was incorrect. The correct approach involves using the formula for the period of simple harmonic motion (T = 2π√(m/k)), where T is the period and m is the mass. Given T = 0.69 seconds and m = 0.0169 kg, the calculation yields k = 1.39 N/m. The user also seeks guidance on uploading images from a mobile device. The discussion highlights the importance of using the correct formula for accurate results.
jimko
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Homework Statement



The graph of displacement vs. time for a small mass at the end of a spring is shown in the figure. At t = 0, x = 0.43 cm. If m = 16.9 gram, find the spring constant, k.

T = 0.69 seconds

Homework Equations



F = kx


The Attempt at a Solution



mg=kx

(.0169 kg)(9.8 m/s^2) / (.0043m) = 38.56

Which is wrong. Is there another way to solve this problem that I'm not seeing?
 
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graph please
 
There we go.. can you see that?
 

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if you have done SHM then:
T=2pi(m/k)^1/2
From the graph T=0.69sec.
After putting the i am getting k=1.39 N/m.
Am I correct.
Can u tell how to upload picture(from mobile). I am new here
 

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