Waves and oscillation tebranishlar va to’lqinlar

Burchakli chastota=

𝝎 = ^𝟐𝝅 = 𝟐𝝅 ν (WHERE, ν = 1/T)
𝑻
The S.I unit is given by RADIAN PER SECOND
^{RESTORING FORCE ( F}X ⁾
the restoring force is a force which acts to bring a body to its equilibrium position. ^{It is also represented by notation “ F}X^”
If F is a restoring force and x is a displacement of a body then, F ∝ -x
F = -Kx
Where, K is proportionality constant or FORCE COSTANT
(NOTE: the restoring force is identical to restoring force that we encounter in elasticity)

SIMPLE HARMONIC MOTION ( SHM)

ODDIY GARMONIK HARAKAT

Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position.

Oddiy garmonik harakat yoki OGH qayta tiklash kuchi jismning o'rtacha holatidan siljishi bilan to'g'ridan-to'g'ri proportsional bo'lgan harakat sifatida aniqlanadi. Ushbu tiklovchi kuchning yo'nalishi har doim o'rtacha pozitsiyaga to'g'ri keladi.
SHM is the oscillatory motion of body where the restoring force is proportional to the negative of displacement


CHARECTERISTICS OF SIMPLE HARMONIC MOTION
ODDIY GARMONIK HARAKATNING XUSUSIYATLARI

1. 
   They are particular type of periodic motion
   
2. 
   They oscillating body must pose mass (INERTIA)
   
3. 
   Constant restoring force acting on a body
   
4. 
   The acceleration developed in the motion due to restoring force is directly proportional to the displacement
   
5. 
   Direction of restoring force will be opposite to the displacement of the body
   
6. 
   The representation of SHM in sine or cosine function is given by
   

x = a sin wt
where: x- displacement of a body, t-time a- Amplitude, w-angular frequency
1. Ular davriy harakatning o'ziga xos turidir
2. Ularning tebranish jismlari massa bo'lishi kerak (INERTIA)
3. Jismga ta'sir etuvchi doimiy tiklovchi kuch
4. Qayta tiklovchi kuch tufayli harakatda hosil bo'lgan tezlanish siljish bilan to'g'ridan-to'g'ri proportsionaldir.
5. Qayta tiklovchi kuchning yo'nalishi tananing siljishiga qarama-qarshi bo'ladi
6. OGH ning sinus yoki kosinus funksiyasida ifodalanishi bilan berilgan
x = gunoh og'irligi
bu yerda: x- jismning siljishi, t-vaqt a- amplituda, w-burchak chastotasi

EXAMPLES FOR SIMPLE HARMONIC OSCILLATION

ODDIY GARMONIK TEBRANISHGA NAMUNALAR

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