18.2- THE PRINCIPLES OF SIMPLE HARMONIC MOTION Flashcards
How does speed change when an oscillating object returns to equilibrium?
speeds up as it returns to equilibrium
How does speed change when an oscillating object moves away from equilibrium?
slows down as it moves away from equilibrium
What is the variation of velocity with time given by?
gradient of displacement-time graph
When is the magnitude of velocity the greatest in reference to the displacement-time graph?
when gradient of displacement-time graph greatest
When is velocity zero in reference to the displacement-time graph?
when gradient of displacement-time graph zero
What is the variation of acceleration with time given by?
gradient of velocity-time graph
When is acceleration greatest in reference to velocity-time graph?
when gradient of velocity-time graph greatest
this is when velocity zero + occurs at maximum displacement and in opposite direction
When is acceleration zero in reference to velocity-time graph?
when gradient of velocity-time graph zero
this is when displacement zero + velocity is maximum
What direction is acceleration is relation to displacement?
acceleration always in opposite direction to displacement
What is simple harmonic motion defined as?
oscillation motion in which acceleration is
- proportional to displacement, and
- always in opposite direction to displacement
a ∝ -x
What does the minus sign in “a ∝-x” show?
acceleration is in opposite direction to displacement
What does the constant of proportionality in a ∝-x depend on?
time period T of oscillations
When the time period is shorter, what happens to oscillations and accelerarion?
faster oscillations, which means larger acceleration at any given displacement
What is the constant of a ∝-x like when the time period is shorter?
constant greater
Equation for angular frequency ω?
2π/T
