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SHM - Coggle Diagram
SHM
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)
PE= 1/2mw^2y^2
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
EQUILIBRIUM POSITION
sum of all forces= 0
acceleration= 0
v is maximum
Y= 0
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
EXTREME POSITION
acceleration is maximum
V= 0
Y is maximum = A
equation of SHM- y= A*sinTHETA
total energy in SHM remains constant
natural length of a spring is X=0
condition of SHM= 1) acceleration= -w^2Y OR .a is directly proportional to -Y