# 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