Vibrating systems

A vibrating system refers to any object or structure that oscillates or moves back and forth when disturbed, like a guitar string or a building during an earthquake. These systems have natural frequencies at which they tend to vibrate most freely. When external forces match these frequencies, resonance occurs, amplifying the vibrations. Understanding vibrating systems helps in designing structures to withstand vibrations, reducing noise, and improving performance in various machines and devices. They are fundamental in fields like engineering, acoustics, and physics, providing insights into how objects respond to dynamic forces and energy transfer.