Finding spring constant k in N/m

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Homework Help Overview

The problem involves determining the spring constant, k, for a mass-spring system based on a displacement vs. time graph. The mass is given, and the period of oscillation is provided, prompting a discussion on the relationship between these variables.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the relationship between force, mass, and displacement to find k but questions the validity of their calculation. Another participant suggests using the formula for simple harmonic motion (SHM) to derive k from the period.

Discussion Status

Participants are exploring different methods to find the spring constant, with one suggesting a potential solution based on SHM. There is an ongoing exchange about the correctness of the calculations and the process of sharing images in the forum.

Contextual Notes

There is a mention of the original poster's confusion regarding their calculation and the need for clarification on how to upload images, indicating a learning environment where participants are also navigating forum usage.

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?
 

Attachments

  • FG14_029.JPG
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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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