5.3 - Newtonian World - Oscillations Flashcards
What is simple harmonic motion ?
It is oscillatory motion about an equilibrium point
What is the definition of SHM ?
The acceleration of the oscillator is
directly proportional to the displacement from the equilibrium position, and acts towards the
equilibrium position.
What is the definition of displacement
distance from the equilibrium position
What is the definition of amplitude
maximum displacement
What is the definition of time period
Time taken for a complete oscillation
What is the definition of frequency
Number of oscillations per second
What is the equation for angular frequency
ω = 2π/T
ω = 2πf
What are the 2 main systems which undergo SHM
A pendulum and a mass-spring system
What is the constant of proportionality linking acceleration and displacement
-ω^2
What is displacement as a function of t and ω
x = Acosωt
A = amplitude
How do you calculate maximum speed
Vmax = ωA
How do you calculate maximum acceleration
amax = -ω^2A
How do you calculate acceleration
a = -ω^2x
What is damping ?
It is by which the amplitude of the oscillations decreases over time due to an energy loss because of drag or friction
How do you calculate displacement
x = Acosωt