ch17 Flashcards
period T
The time taken for one complete oscillation or vibration
frequency f
number of oscillations per unit time
simple harmonic motion
motion of a particle about a fixed point such that its acceleration proportional to distance from the fixed point / displacement and is in the opposite direction
harmonic oscillator
A system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x and therefore follows simple harmonic motion
acceleration of simple harmonic motion equation
a=-w^2x
angular frequency
ω = 2πf /// 2π/T
displacement solution
x = x0 sinωt
velocity v of the particle when x = x0 sinω t eq
v = v0 cosω t
The maximum speed v0 eq
v0 = x0ω //// v0 = ±ω (x0^2-x^2)^1/2
acceleration a of
the particle when x = x0 sinω t
a = −a0 sinω t
kinetic energy at displacement x
Ek = 1/2mω 2(x0^2 −x^2)
restoring force
F res = −mω^2x
potential energy Ep at displacement x
Ep = 1/2mω ^2x^2
total energy Etot
Etot = 1/2mω^ 2x0^2
damped oscillations
reduction in amplitude / energy
due to force resistive forces
