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Experiment 12: Simple Harmonic Motion

Experiment 12: Simple Harmonic MotionFigure BallWood Ball(Note: sharp hooks)Meter StickDigital BalanceStopwatchPendulum Clamp and RodStringMasses: (2) 100g, (1) 50gMass HangerTable ClampProtractor12 Experiment 12: Simple Harmonic MotionAdvance ReadingText: Simple Harmonic Motion , oscillations, wave-length, frequency, period, Hooke s Manual: Appendix CObjectiveTo investigate Simple Harmonic Motion using a simplependulum and an oscillating spring; to determine thespring constant of a Motion is Motion of an object that regularlyreturns to a given position after afixed time inter-val. Simple Harmonic Motion is a special kind of peri-odic Motion in which the object oscillates sinusoidally,smoothly. Simple Harmonic Motion arises wheneveran object is returned to the equilibrium position by arestorative force proportional to the object s = kx( )The illustrative example above is Hooke s Law, whichdescribes the restorative force of an oscillating springof stiffnessk (spring constant).

One example of a harmonic oscillator is a spring that obeys Hooke’s Law (F = −kx). The period of an ideal, massless spring is related to the spring constant, k (or spring stiffness), and the mass of the object, m, that it moves: T = 2π m k The other harmonic oscillator modeled in this experi-ment is the ideal simple pendulum, whose period is

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  Oscillators, Harmonics, Harmonic oscillator

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