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 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 = 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 = x
_{m}
e
^{
}cos(σ
^{â≤}
t)

Equation for the angular frequency of a damped system

σ
^{â≤} =
