Simple harmonic motion is the smooth back-and-forth swing you see in a playground seat, a grandfather clock, or a plucked guitar string. The object moves away from its rest position, then a restoring force pulls it back toward the center of balance. That force grows stronger the farther you pull, which is why the motion feels springy and repeating. In ideal SHM, the restoring force is directly proportional to displacement from equilibrium. Release the object and it overshoots the center, slows, reverses, and repeats in a steady rhythm. This pattern is one of the most important ideas in all of physics.
〰️ RESTORING FORCE
A restoring force always points back toward equilibrium. For a spring: F = −kx (Hooke's law). The minus sign means the force opposes the stretch or squeeze.