183_notes:model_of_a_wire

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183_notes:model_of_a_wire [2015/09/19 11:20] – [Modeling the solid wire] caballero183_notes:model_of_a_wire [2015/09/19 11:27] – [Modeling the solid wire] caballero
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 $$s = \dfrac{mg}{2k} = \dfrac{100N}{200N/m} = 0.5m$$ $$s = \dfrac{mg}{2k} = \dfrac{100N}{200N/m} = 0.5m$$
  
-When we attach a second 100N/m spring to the ball, the springs both stretch 0.5m. That is, the overall stretch of the spring-mass system is half of what it is with one spring. //In parallel, each spring stretches the same amount//.+When we attach a second 100N/m spring to the ball, the springs both stretch 0.5m. That is, the overall stretch of the spring-mass system is half of what it is with one spring.  
 + 
 +//In parallel, each spring stretches the same amount//.
  
 == Modeling two side-by-side springs as one spring (effective spring constant) == == Modeling two side-by-side springs as one spring (effective spring constant) ==
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 $${k_{s,eff}} = \sum_i {k_i} = {100 N/m} + {100 N/m} = {200 N/m}$$ $${k_{s,eff}} = \sum_i {k_i} = {100 N/m} + {100 N/m} = {200 N/m}$$
 +
 +This way of modeling end-to-end and side-by-side springs will be very useful for modeling [[183_notes:youngs_modulus|the compression and extension of real materials]].
  • 183_notes/model_of_a_wire.txt
  • Last modified: 2021/03/13 19:40
  • by stumptyl