Spring Force

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} \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.

This equation can also be represented in vector

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

How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript

Examples

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See also

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