Periodic Motion, Waves, Sound Flashcards
Simple harmonic motion
Particle/mass oscillates about equilibrium
Subject to linear restoring force
Two system: springs and pendulum
Linear restoring force
Direction is always towards eq-m
Magnitude is directly proportional to displacement of particle from eq-m position
Restoring force for spring Hooke’s law
F=-kx
F-restoring force, k-spring constant, x-displacement of spring from eq-m or natural length
K-measure of spring stiffness, the higher the stiffer, the higher the force
Restoring force is always in opposite direction to displacement
If stretched- direction inward towards eq-m, if compressed- outward
Acceleration of stretched spring
a=-w^2x, w-angular frequency- rate at which the oscillating object complete a cycle
w=2pif=squar(k/m), measure in radians
1 radian = 180/pi degree
One full rotation is 2pi or 360 degree
f- in herz(hz), cycles per second
Both frequencies depends on spring constant and mass attached but not on displacement