5.3 Oscillations Flashcards
Displacement
The distance an object is from it’s rest position
Amplitude
Maximum displacement
Frequency
The number of oscillations per unit time at any point
Angular Frequency and its symbol
(ω) The product 2pi*f
Phase Difference and its symbol
(Φ) The fraction of a complete cycle between two points, expressed in radians
Simple Harmonic Motion
An oscillating body where the acceleration of the body is directly proportional to its distance from a fixed point (its equilibrium position) and this acceleration is always directed to the fixed point
SHM defining equation
a=-(ω^2)x
Solutions to the equation a=-ω^2x
x = Acosωt, x = Asinωt
Equation for velocity
v = +-ω*root(A^2-x^2)
Maximum acceleration
(Sub in A for x) max a = Aω^2
Maximum velocity
(Sub in A for x) max v = Aω
Maximum displacement
A
Investigation for SMH
Set up a mass on a spring hanging from a clamp stand. Place a position sensor beneath it. Pull down the spring and let it oscillate with its displacement being recorded. When plotted against time it should resemble a sine wave with decreasing amplitude.
What effect does increasing the mass on a spring have on SHM time period
Longer time period
What effect does the stiffness of the spring have on SHM time period
High stiffness = short time period