Central Force/Examples/Spring Force

Example of Central Force

The force exerted by an ideal spring is an example of a central force.


Hooke's Law applies to an ideal spring:

$\mathbf F = -k \mathbf x$

where:

$\mathbf F$ is the force caused by a displacement $\mathbf x$
$k$ is the spring force constant.

The negative sign indicates that the force pulls in the opposite direction to that of the displacement imposed.


The strain is proportional to the stress.


Sources

  • 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): central force
  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): central force
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