Oscillations and Simple Harmonic Motion

Oscillations and Simple Harmonic Motion - displacement of...

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Oscillations and Simple Harmonic Motion Terms and Formulae Terms Oscillating system - Any system that always experiences a force acting against the displacement of the system (restoring force). Restoring force - A force that always acts against the displacement of the system. Periodic Motion - Any motion in which a system returns to its initial position at a later time. Amplitude - The maximum displacement of an oscillating system. Period - The time it takes for a system to complete one oscillation. Frequency - The rate at which a system completes an oscillation. Hertz - The unit of measurement of frequency. Angular Frequency - The radian measure of frequency: frequency times 2 Π . Simple Harmonic Motion - Any motion that experiences a restoring force proportional to the
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Unformatted text preview: displacement of the system. Formulae Relation between variables of oscillation = 2 = Force exerted by a spring with constant k F = - kx Differential equation describing simple harmonic motion + x = 0 Formula for the period of a mass-spring system T = 2 Formula for the frequency of a mass-spring system = Formula for the angular frequency of a mass-spring system = Equation for the displacement in simple harmonic motion x = x m cos( t ) Equation for the velocity in simple harmonic motion v = x m sin( t ) Equation for the acceleration in simple harmonic motion a = 2 x m cos( t ) Equation for the potential energy of a simple harmonic system U = kx 2...
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This note was uploaded on 02/09/2012 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.

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Oscillations and Simple Harmonic Motion - displacement of...

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