SHM

phasor diagram

radius(A)- amplitude or y max

THETA- will be called as phase

TIME TAKEN- time taken for 1 rev.

t- time of snapshot

equation of SHM- y= A*sinTHETA

FORMULAE

t= T/2 π*T

θ= 2π/T*t

y= Asinθ

v= Awcosθ

a= -w^2y

KE= 1/2mw^2(a^2-y^2)

total energy in SHM remains constant

PE= 1/2mw^2y^2

graphs-

PE vs Y is a upward parabola

KE vs Y is a downward parabola

TE vs Y is a straight line parallel to X axis

EQUILIBRIUM POSITION

sum of all forces= 0

acceleration= 0

v is maximum

Y= 0

EXTREME POSITION

acceleration is maximum

V= 0

Y is maximum = A

natural length of a spring is X=0

condition of SHM= 1) acceleration= -w^2Y OR .a is directly proportional to -Y