Simple Harmonic Motion Flashcards
Define amplitude
The maximum displacement of a particle from its position of equilibrium
What is the equation for angular frequency
w= 2πf
Define frequency
The number of oscillations per unit of time
Define the period
The time taken for one complete cycle
State 3 features of SHM
The acceleration of the object is always towards the position of equilibrium.
The acceleration is proportional to the amplitude
It is Isochronous
Give an everyday example of resonance, and explain what happens to the object oscillating
An example is microwave cooking, the driving frequency of the microwaves causes the water molecules to oscillate at their natural frequency, this causes them to oscillate with maximum amplitude so they absorb maximum kinetic energy, this means they heat up so the food cooks.
Give an example equation for the displacement of a particle demonstrating shm
x=Asin(2πft)
x=Acos(2πft)
Where A is amplitude, f is frequency and t is time
Give the equation linking acceleration to frequency and displacement
a=-(2πf)^2 x
Define resonance
The forced motion of an oscillator when subjected to a force having a frequency close to its own natural frequency
During simple harmonic motion an interchange of energy between two forms occurs what are those forms
potential energy and kinetic energy
Describe a energy graph of SHM starting from with maximum displacement
When displacement is maximum potential energy is also at a maximum, and kinetic energy is at a minimum. When the object accelerates towards the equilibrium position, kinetic energy rises to a maximum and potential energy falls to a minimum.
What type of decay is shown by the amplitude of damped oscillations
Exponential decay like radioactive decay and the discharge of a capacitor
