Dynamics¶
Dynamics is a branch of mechanics describing the motion of objects due to the forces applied to them.
Contents:
- Damped oscillations (Dynamics)
- Deformation (Dynamics)
- Bulk modulus via Young modulus and Poisson ratio
- Elastic energy density of bulk compression via pressure
- Elastic energy density of compression via strain
- Engineering normal strain is total deformation over initial dimension
- Poisson ratio is transverse to axial strain ratio
- Pressure is Maclaurin series of strain
- Rotational stiffness is torque applied over angle
- Superposition of small deformations
- Tensile stress is Young’s modulus times strain
- Fields (Dynamics)
- Springs
- Dynamics (Vector)
- Acceleration is force over mass
- Braking path via speed and friction force
- Buoyant force from density and volume
- Coefficient of stiffness from area and length
- Displacement in forced non-resonant oscillations
- Force is derivative of momentum
- Forced oscillations equation
- Friction force from normal force
- Instantaneous power is force times speed
- Kinetic energy from mass and speed
- Kinetic energy from rotational inertia and angular speed
- Kinetic energy via momentum
- Maximum height from initial speed
- Mechanical work is force times distance
- Momentum derivative of kinetic energy is speed
- Period of ideal pendulum from length
- Period of physical pendulum
- Period of spring from mass
- Period of torsion pendulum from rotational inertia
- Elastic potential energy from displacement
- Potential energy from mass and height
- Pressure from force and area
- Reaction force equals action force
- Reduced mass of a two-body system
- Displacement in resonant oscillations
- Rocket thrust is rocket mass times acceleration
- Rotational work is torque times angular distance
- Torque via force and radial distance
- Torque via rotational inertia and angular acceleration
- Total work is change in kinetic energy
- Work is integral of force over distance