Mechanical Oscillations

Contents:

• 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