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  2. When a spring and damper are connected in series:
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    A spring and damper in series is a mechanical system where a spring and a damper are connected one after the other, with the output of the spring connected to the input of the damper. This arrangement allows for the combined effects of both components to be applied to a system.
    www.physicsforums.com/threads/how-do-you-mod…
    When springs and dampers are connected in series, they are arranged end to end, meaning the output of one component is the input of the next. In contrast, when they are connected in parallel, they share a common input and output point, similar to a fork in a road.
    www.physicsforums.com/threads/springs-and-dam…
    In summary, when the damper and spring are in series, the force applied is the same on both and results in a change of length in the spring and a variation of velocity in the damper.
    www.physicsforums.com/threads/how-do-you-deriv…
    Materials undergoing strain are often modeled with mechanical components, such as springs (restorative force component) and dashpots (damping component). Connecting a spring and damper in series yields a model of a Maxwell material while connecting a spring and damper in parallel yields a model of a Kelvin–Voigt material.
    en.wikipedia.org/wiki/Standard_Linear_Solid_model
     
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    Apr 2, 2022 · Because there are no masses, the force in the spring equals the force in the damper. The force in the damper is cm times xdot, the force in the spring is k times (y-x), that is compressing the spring y>x results in a positive …

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    May 22, 2022 · Damper law: \(f_{c}=c\left(\dot{x}_{p}-\dot{x}_{c}\right)\) Spring law: \(f_{k}=k x_{c}\) Solution. Combining equations of motion and damper/spring laws gives: \[m_{p} \ddot{x}_{p}+c \dot{x}_{p}-c …

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