Spring Force: Difference between revisions
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Claimed by Arjun Chib | Claimed by Arjun Chib | ||
'''Spring Force''' is the non-constant force exerted by a spring upon a system. | '''Spring Force''' is the non-constant, elastic force exerted by a spring upon a system. | ||
==The Main Idea== | ==The Main Idea== | ||
The spring force is represented by the equation <math>\vert \vec{F}\vert = k_s \vert s \vert</math> | The spring force is represented by the equation <math>\vert \vec{F} \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>. | ||
<math>L_0</math> is the relaxed length of the spring, when the spring is neither stretched nor compressed.<br /> | |||
<math>L</math> is the length that the spring has been stretched or compressed.<br /> | |||
<math>k_s</math> is the spring stiffness, which is a constant inherent to the property of the spring. | |||
Revision as of 20:15, 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 is represented by the equation [math]\displaystyle{ \vert \vec{F} \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.
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
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Examples
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See also
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