Oscillations

Contents:

• Mechanical Oscillations
  • Damped Oscillations
    • Damped angular frequency via damping ratio
      • damped_angular_frequency
      • undamped_angular_frequency
      • damping_ratio
      • law
    • Damped harmonic oscillator equation
      • time
      • displacement
      • undamped_angular_frequency
      • damping_ratio
      • law
    • Damping ratio from decay constant and undamped frequency
      • damping_ratio
      • exponential_decay_constant
      • undamped_angular_frequency
      • law
    • Displacement in critical damping
      • displacement
      • time
      • undamped_angular_frequency
      • initial_position
      • initial_speed
      • law
    • Displacement in underdamping
      • displacement
      • time
      • scaling_coefficient
      • exponential_decay_constant
      • damped_angular_frequency
      • phase_shift
      • law
    • Energy of underdamped oscillator
      • energy
      • mass
      • amplitude
      • undamped_angular_frequency
      • exponential_decay_constant
      • time
      • law
  • Forced Mechanical Oscillations
    • Displacement in forced non-resonant oscillations
      • time
      • displacement
      • mass
      • natural_angular_frequency
      • driving_force_amplitude
      • driving_angular_frequency
      • driving_phase_lag
      • law
    • Displacement in resonant oscillations
      • time
      • resonant_displacement
      • mass
      • natural_angular_frequency
      • driving_force_amplitude
      • driving_phase_lag
      • law
    • Forced oscillations equation
      • time
      • displacement
      • mass
      • natural_angular_frequency
      • driving_force_amplitude
      • driving_angular_frequency
      • driving_phase_lag
      • law
  • Physical Pendulum
    • Period of ideal pendulum from length
      • period
      • length
      • law
    • Period of physical pendulum
      • period
      • mass
      • rotational_inertia
      • distance_to_pivot
      • law
  • Spring
    • Period of spring from mass
      • period
      • mass
      • stiffness
      • law
  • Torsion Pendulum
    • Period of torsion pendulum from rotational inertia
      • period
      • rotational_inertia
      • torsion_stiffness
      • law
    • Restoring torque due to twist of torsion pendulum
      • torque
      • torsion_stiffness
      • angular_displacement
      • law
• Natural Oscillations
  • Displacement in simple harmonic motion
    • displacement
    • amplitude
    • angular_frequency
    • phase_shift
    • time
    • law
  • Harmonic oscillator is a second order derivative equation
    • time
    • displacement
    • angular_frequency
    • law
• Quality Factor
  • Quality factor via bandwidth
    • quality_factor
    • resonant_frequency
    • resonance_width
    • law
  • Quality factor via damping ratio
    • quality_factor
    • damping_ratio
    • law
  • Quality factor via energy loss
    • quality_factor
    • resonant_angular_frequency
    • energy_stored
    • power_loss
    • law
• Period from angular frequency
  • period
  • angular_frequency
  • law
• Temporal frequency from period
  • temporal_frequency
  • period
  • law
• Temporal frequency is number of events per unit time
  • temporal_frequency
  • number_of_events
  • time
  • law