Applications of Harmonic Motion

# Applications of Harmonic Motion - given oscillating system...

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Applications of Harmonic Motion Terms and Formulae Terms Torsional Oscillator - The oscillation of any object suspended by a wire and rotating about the axis of the wire. Pendulum - The classic pendulum consists of a particle suspended from a light cord. When the particle is pulled to one side and released, it swings back past the equilibrium point and oscillates between two maximum angular displacements. Damping force - A force proportional to the velocity of the object that causes it to slow down. Resonance - The phenomena in which a driving force causes a rapid increase in the amplitude of oscillation of a system. Resonant Frequency - The frequency at which a driving force will produce resonance in a

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Unformatted text preview: given oscillating system. Formulae Equation for the torque felt in a torsional oscillator τ = - κσ Equation for angular displacement of a torsional oscillator θ = θ m cos( σt ) Equation for the period of a torsional oscillator T = 2 Π Equation for the angular frequency of a torsional oscillator σ = Equation for the force felt by a pendulum F = mg sin θ Approximation of the force felt by a pendulum F- ( ) x Equation for the period of a pendulum T = 2 Π Differential equation describing damped motion kx + b + m = 0 Equation for the displacement of a damped system x = x m e cos( σ â≤ t ) Equation for the angular frequency of a damped system σ â≤ =...
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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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Applications of Harmonic Motion - given oscillating system...

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