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Torsional Oscillator
The oscillation of any object suspended by a wire and rotating about the axis of the wire.
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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.
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Damping force
A force proportional to the velocity of the object that causes it to slow down.
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Resonance
The phenomena in which a driving force causes a rapid increase in the amplitude of oscillation of a system.
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Resonant Frequency
The frequency at which a driving force will produce resonance in a given oscillating system.
Terms
Formulae
Equation for the torque felt in a torsional oscillator | τ = - κσ |
Equation for angular displacement of a torsional oscillator | θ = θmcos(σt) |
Equation for the period of a torsional oscillator | T = 2Π |
Equation for the angular frequency of a torsional oscillator | σ = |
Equation for the force felt by a pendulum | F = mg sinθ |
Approximation of the force felt by a pendulum | F - ()x |
Equation for the period of a pendulum | T = 2Π |
Differential equation describing damped motion | kx + b + m = 0 |
Equation for the displacement of a damped system | x = xmecos(σâ≤t) |
Equation for the angular frequency of a damped system | σâ≤ = |