Simple Harmonic Motion
Energy in Simple Harmonic Motion
Simple Harmonic motion obeys the law of conservation of mechanical energy
Potential Energy
Kinetic Energy
: 
Total energy
Total energy is the product of spring constant and amplitude squared and divide with 2
Graph of Energy
Product of mass of object and velocity of object squared and divide with 2
Product of spring constant and displacement squared and divide with 2
Straight blue line: Total energy
Green Cosine Graph: Potential energy
Red Sinusoidal Graph: Kinetic energy
Equations
Maximum velocity: product of angular frequency and amplitude
Formula of velocity: product of angular frequency and square root of amplitude squared minus displacement squared
Definition
Graphical Representative of SMH
Equation
phase constant
DAMPED OSCILATIONS
DEFINITION
The motion of an oscillator reduces due to an external force
EQUATIONS AND GRAPH
PENDULUM (two forces acting: string tension T and gravity g)
SIMPLE PENDULUM
PHYSICAL PENDULUM
net force = -mg sin θ=ma
a =-g sin θ=-g(s/L)
F=-mg(s/L)=-mω2s
PERIOD
RESONANCE
PERIOD
click to edit
Definition
when external and natural/ system frequency is the same
occur when magnitude of the forced oscillation is max