Spring force is a restoring force that acts to return a spring to its equilibrium position, described mathematically by Hooke's Law. The magnitude of the force is directly proportional to the displacement of the spring from its rest position, with the spring constant as the proportionality factor.

Spring Force

Spring force

A restoring force is a force that acts to bring a system back to its equilibrium position. It is typically proportional to the displacement from equilibrium and is a fundamental concept in understanding oscillatory motion and stability in physical systems.

restoring force

An equilibrium position is a state in which all forces acting upon a system are balanced, resulting in no net change in the system's state. It is a fundamental concept in physics and economics, indicating stability and absence of external influences causing change.

equilibrium position

Hooke's Law states that the force needed to extend or compress a spring by some distance is proportional to that distance, as long as the elastic limit is not exceeded. This principle is fundamental in understanding the behavior of elastic materials and is mathematically expressed as F = kx, where F is the force applied, k is the spring constant, and x is the displacement from the equilibrium position.

Hooke's Law

magnitude of the force

proportionality factor

displacement of the spring

rest position

The spring constant, denoted as k, is a measure of a spring's stiffness, representing the force required to compress or extend the spring by a unit length. It plays a crucial role in Hooke's Law, which states that the force exerted by a spring is directly proportional to its displacement from the equilibrium position.

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