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courses:phy101l:4 [2023/07/29 21:23] – [1. Introduction] asadcourses:phy101l:4 [2023/11/05 02:37] (current) – [1. Introduction] asad
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 ====== 4. Spring constant from extension and period ====== ====== 4. Spring constant from extension and period ======
 [[https://colab.research.google.com/drive/1tD3YzjG3QRVFyrV-L1ccF84yx7QW4eYf?usp=sharing|Google Colab example]] [[https://colab.research.google.com/drive/1tD3YzjG3QRVFyrV-L1ccF84yx7QW4eYf?usp=sharing|Google Colab example]]
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 +
  
 ===== - Introduction ===== ===== - Introduction =====
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 $$ k = g\frac{m}{l}. $$ $$ k = g\frac{m}{l}. $$
 +
 +$$ l = \frac{g}{k}m + 0 $$
  
 For the second method, you will use the relation between period and mass For the second method, you will use the relation between period and mass
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 $$ k' = 4\pi^2 \frac{m}{T^2}. $$ $$ k' = 4\pi^2 \frac{m}{T^2}. $$
  
-The values $k$ and $k'should be very similar because they are both the spring constant of the same spring.+$$ T^2 = \frac{4\pi^2}{k'} m + 0 $$
  
 +The values $k$ and $k'$ should be very similar because they are both the spring constant of the same spring.
  
 ===== - Method and data ===== ===== - Method and data =====
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 ===== - Discussion and conclusion ===== ===== - Discussion and conclusion =====
 +  - Why are $k$ and $k'$ different? 
 +  - Which one is greater, $\delta k$ or $\delta k'$? Why? 
 +  - In which method we have higher fitting error?
courses/phy101l/4.1690687400.txt.gz · Last modified: 2023/07/29 21:23 by asad

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