SHM Flashcards
What are the two main examples of simple harmonic motion?
a mass spring system
a simple pendulum
What does omega (w) equal?
w = theta/time
theta = 2(pi) radians time = 1/frequency
therefore:
omega = 2 (pi) (frequency)
What is the equation of SHM?
acceleration = negative omega{which is rotational velocity} squared multiplied by position
WILD CARD
Go do some SHM questions!
When is an object in SHM in equilibrium?
It is never in equilibrium because it is always accelerating.
In SHM what is the relationship between Ke max and Pe max? What does this infer?
Ke max = Pe max. therefore when one Ke is at its maximum, Pe must be zero (they must always add to the same value).
What is dampening in SHM caused by?
Energy loss - energy is disserpated over time, modeled by the exponential function.
What is dampening modeled by?
The exponential function
What is the equation for dampening?
y = A cos(omega x t) e^(-t/time constant) where: A is the max value omega is rotational velocity e is exponential - means its a decrease
What is a “free” system?
One which is excited with an initial pulse of energy then allowed to freely oscillate.
What is an objects natural frequency (f0)?
The frequency a system will oscillate at if it is allowed to oscillate freely.
What is the resonant frequency?
When an objects drive frequency = its natural frequency.
What is the use of resonance?
pendulum times, radio tuners, musical instruments
What are NOT uses of resonance?
anything to do with motion (eg the millennium bridge)
An object is moving on a circle, is this SHM?
Yes, it is SHM mapped onto a circle.
