183_notes:model_of_a_wire

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183_notes:model_of_a_wire [2015/09/19 11:25] – [Modeling the solid wire] caballero183_notes:model_of_a_wire [2015/09/20 12:16] – [Modeling the solid wire] caballero
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 === Two springs connected end-to-end (series) === === Two springs connected end-to-end (series) ===
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 +[{{183_notes:series.png?150|Two springs connected end-to-end. }}]
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 Let's consider attaching a 100N ball to a single 100N/m spring. If we let the weight just hang motionless (no change in momentum), we know from the [[183_notes:momentum_principle|momentum principle]] that the net force on the ball is zero. Hence, Let's consider attaching a 100N ball to a single 100N/m spring. If we let the weight just hang motionless (no change in momentum), we know from the [[183_notes:momentum_principle|momentum principle]] that the net force on the ball is zero. Hence,
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 $${k_{s,eff}} = \sum_i {k_i} = {100 N/m} + {100 N/m} = {200 N/m}$$ $${k_{s,eff}} = \sum_i {k_i} = {100 N/m} + {100 N/m} = {200 N/m}$$
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 +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