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6.2.1OscillationsOscillationsaremovementsbackandforthinarepeatingpattern.Twoexamplesarethesimplependulumandthemassonaspring(springpendulum).

Pendulum

(1)!Sketchthedisplacementofthebob(fromequilibrium)withtime.

(2)!Whatmathematicalfunctioncouldbeusedtodescribethisgraph?

Massonaspring

Themassoscillatesupanddowninarepeatingpattern.

(3)!Sketchagraphofthedisplacementofthemassfromtheequilibriumpositionagainsttime.

(4)!Markonyourgraphtheperiodoftheoscillation.LabelitT.

(5)!Atwhatpointswouldthemassbemovingfastest?Markonthegraphwherethiswouldoccur.Labelitvmax.

(6)!Onthegraph,above,markontheamplitudeoftheoscillation(labelitA),anddescribewhatamplitudeis.

displacemen

t

time

k

displacemen

t

time

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Angularfrequency

Angularfrequencyisdefinedas:

𝜔 =2𝜋𝑇 = 2𝜋𝑓

Theunitsareradianspersecond(rads-1).

(7)!Ifaparticularoscillatoroscillateswithaperiodof0.125s,whatistheangularfrequency?

(8)!Describewhatyouthinkangularfrequencyrepresents.

PhaseDifference

Youhavecomeacrossphasedifferencebeforeinthetopicofwaveinterference.Phasedifferenceisanangle,andrepresentstheangulardifferencebetweentwooscillationswiththesamefrequency.

Phasedifferencecanbeexpressedasanangleindegreesorinradians.

(9)!Sketchwaveswhichhaveaphasedifferenceofi)90°,ii)π/8rad