Define the following and state four examples each
1 . forced viberations
2. Damped viberations
3. Natural viberations
4. Compound viberations
5. Sinusoidal viberations
1. Forced vibrations: vibrations in a system that are caused by an external force acting on it. Examples include a car driving over a bumpy road, a guitar string being plucked, a speaker vibrating due to an audio signal, and a person jumping on a trampoline.
2. Damped vibrations: vibrations in a system that gradually decrease in amplitude over time due to the dissipation of energy. Examples include a swinging pendulum coming to rest, a car suspension system absorbing shocks, a door gradually closing, and a guitar string losing its vibration after being plucked.
3. Natural vibrations: vibrations in a system that occur without any external force acting on it, typically at a specific natural frequency. Examples include a tuning fork vibrating when struck, a swing oscillating back and forth, a metal bell ringing when struck, and a flute producing sound when blown.
4. Compound vibrations: vibrations in a system that are a combination of multiple frequencies or modes of vibration. Examples include the sound produced by a musical instrument playing chords, the complex vibrations of a car engine running, the shaking of a building during an earthquake, and the vibrations of a guitar string playing harmonics.
5. Sinusoidal vibrations: vibrations in a system that follow a sinusoidal (sine or cosine) waveform, typically representing simple harmonic motion. Examples include a pendulum swinging back and forth, a spring oscillating up and down, a sound wave propagating through air, and ripples on the surface of water.