Mechanical Vibrations

(Lets start with some practical day to day life examples ) we hear because our eardrums vibrate and see because light waves undergo vibration. Breathing is associated with the vibration of lungs and walking involves (periodic) oscillatory motion of legs and hands. (Showing the action of legs Hands )

Human speech requires the oscillatory motion of larynges (and tongues).

(Lets us take some more typical examples from Physics)

Showing the action Pendulum.

If we disturb the bob of a pendulum, the pendulum oscillates for some time period, so what is that science or physics behind its oscillation ?

Lets talk about a rubber band tied between two fingers.( Showing the action of band)

When we initially plug the band , we can see the oscillations of rubber band ,which would appear as a loop ,so what is that science behind the formation of loop or having some number of osillations ?

So, A vibratory system, in general, includes

A means for storing potential energy (spring or elasticity),(as the bob of the pendulum or rubber band has some mass (m), and at the time of initial disturbance it will attain initial height (h) and gravity (g) ,

A means for storing kinetic energy(as the bob of the pendulum or rubber band having some mass (mass or inertia) will attain some velocity (v), and a means by which energy is gradually lost (damper).

As we know,

P.E = mgh K.E = mv²

Infact, The vibration of a system involves the transfer of its potential energy to kinetic energy and of kinetic energy to potential energy, alternately.

So basically Vibration is any motion that repeats itself after an interval of time.

Initially we were talking about day to day life practical examples like oscillatory motion of legs hands or oscillation of ear drums, Moreover, if we start measuring those motions with respect to time , those oscillations will be referred as vibrations.