What Kind of Motion Does Hooke's Law Describe?

[EIRE2003]

F = -k s

where k is a constant. What is this equation? I know its something to do with motion but what kind of motion?

 

[enigma]

Undamped harmonic oscillations

 

[M98Ranger]

This equation, F = -k s, is known as Hooke's Law and describes the relationship between the force (F) applied to an object and the displacement (s) of that object from its equilibrium position. It is commonly used in the study of simple harmonic motion, where an object oscillates back and forth around a fixed point due to a restoring force. The constant, k, is known as the spring constant and represents the stiffness of the spring or object involved in the motion. This equation is also used in various other areas of physics, such as in the study of elasticity and the behavior of materials under stress.