Simple Harmonic Motion

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Presentation transcript:

Simple Harmonic Motion A restoring force always points toward the equilibrium position. Pendulum Mass on a spring SHM: restoring force is proportional to displacement

For a spring: F=-kx PE= k= spring constant amplitude: max displacement from equilibrium period: time for one cycle frequency: cycles per unit of time

Mass on spring: pendulum:

A spring with constant 245N/m has a mass of 0 A spring with constant 245N/m has a mass of 0.676kg attached to it and is sliding on a frictionless table. If its furthest distance from equilibrium is 12.0cm, what is its maximum speed? A=.120m, k=245N/m,m=0.676kg,vmax=? PEmax=.5(245)(.122) = E E = KEmax = .5mv2

Angular frequency: