Define free oscillation
It oscillate with no energy gain or loss, oscillate with constant amplitude, as no external force on it
fp=1/2pi root(k/m)
fq = 1/2pi root (2k/m)
fr = 1/2pi root (g/l)
Simple harmonic motion
simple harmonic motion is defined as the oscillatory motion of a particle, whose acceleration is a directly proportional to its displacement from a fixed point, and the acceleration is always in opposite direction to its displacement
a= -omega^2 x
v= +- omega root(xo^2-x^2)
x=xo sin(omega t)
x=xo cos(omega t) extreme position
angular frequency omega
= 2pi/T or 2pi f
Energy in SHM
KE = 1/2 m omega ^2 (xo^2-x^2)
Potential = 1/2 m omega^2 x^2
Define resonance
Resonance occurs when the resulting amplitude of the system becomes a maximum when a driving frequency of external driving force equals to natural frequency of the system
Define forced oscillation
continue input of energy by external applied force to accelerating system to compensate the loss due to damping in order to maintain the altitude of the oscillation
