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183_notes:model_of_a_wire [2015/09/19 11:25] – [Modeling the solid wire] caballero | 183_notes:model_of_a_wire [2015/09/20 12:17] – [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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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: | 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: | ||
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Let's consider attaching a 100N ball to two 100N/m springs where each spring is connected to the ball and not to each other. In this case, both springs must stretch by the same amount. If the ball hangs motionless (no change in momentum), we can use the momentum principle to determine how much these springs stretch. | Let's consider attaching a 100N ball to two 100N/m springs where each spring is connected to the ball and not to each other. In this case, both springs must stretch by the same amount. If the ball hangs motionless (no change in momentum), we can use the momentum principle to determine how much these springs stretch. | ||
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$$\Delta \vec{p} = 0\: | $$\Delta \vec{p} = 0\: | ||
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$${k_{s, | $${k_{s, | ||
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+ | This way of modeling end-to-end and side-by-side springs will be very useful for modeling [[183_notes: |