Spring Force: Difference between revisions
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===A Mathematical Model=== | ===A Mathematical Model=== | ||
The magnitude of the spring force is represented by the equation <math>\vert \vec{ | The magnitude of the spring force is represented by the equation <math>\vert \vec{F_{spring}} \vert = k_s \vert s \vert </math>, where <math> \vert s \vert </math> is the absolute value of the stretch of the spring <math>s = L - L_0</math>. | ||
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The spring force can also be modeled as a vector by the equation <math>\vec{ | The spring force can also be modeled as a vector by the equation <math>\vec{F_{spring}} = -k_s s \hat{L}</math>, where <math>\hat{L}</math> is the direction that the spring is stretched or compressed. | ||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 20:29, 5 December 2015
Claimed by Arjun Chib
Spring Force is the non-constant, elastic force exerted by a spring upon a system.
The Main Idea
The spring force models the force in a system due to the presence of a stretched or compressed spring. This force is based upon two factors of the spring: the spring's stiffness and the distance the spring has been stretched. The spring's stiffness is a constant that represents how much force is required to stretch or compress a spring over a certain distance.
A Mathematical Model
The magnitude of the spring force is represented by the equation [math]\displaystyle{ \vert \vec{F_{spring}} \vert = k_s \vert s \vert }[/math], where [math]\displaystyle{ \vert s \vert }[/math] is the absolute value of the stretch of the spring [math]\displaystyle{ s = L - L_0 }[/math].
[math]\displaystyle{ L_0 }[/math] is the relaxed length of the spring, when the spring is neither stretched nor compressed.
[math]\displaystyle{ L }[/math] is the length that the spring has been stretched or compressed.
[math]\displaystyle{ k_s }[/math] is the spring stiffness, which is a constant inherent to the property of the spring.
The spring force can also be modeled as a vector by the equation [math]\displaystyle{ \vec{F_{spring}} = -k_s s \hat{L} }[/math], where [math]\displaystyle{ \hat{L} }[/math] is the direction that the spring is stretched or compressed.
A Computational Model
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