Classical Mechanics¶
Contents:
- Conservation Laws (Classical Mechanics)
- Dynamics
- Energy (Dynamics)
- Force (Dynamics)
- Acceleration from force and mass (vector)
- Acceleration is force over mass
- Braking path via speed and friction force
- Conservative force is gradient of potential energy
- Damping force is proportional to velocity
- Force is derivative of momentum
- Force is derivative of momentum (vector)
- Friction force from normal force
- Impulse is integral of force over time
- Net force is sum of individual forces
- Net force vector is sum of forces
- Normal force via pressure and vector area
- Reaction force equals action force
- Gravity (Dynamics)
- Acceleration due to gravity via gravity force and centripetal acceleration
- Easterly deviation from plumbline of falling bodies
- Falling body displacement
- Free fall acceleration from height
- Gravitational potential energy
- Gravitational force from mass and distance
- Potential energy from mass and height
- Relative acceleration from force and acceleration due to gravity
- Southerly deviation from plumbline of falling bodies
- Relative Motion (Dynamics)
- Rotational Motion (Dynamics)
- Angular momentum is position cross linear momentum
- Angular momentum is rotational inertia times angular speed
- Kinetic energy from rotational inertia and angular speed
- Kinetic energy via angular momentum and angular velocity
- Rotational work is torque times angular distance
- Torque is angular momentum derivative
- Torque of twisting force
- Torque via force and radial distance
- Torque via rotational inertia and angular acceleration
- Translational Motion (Dynamics)
- Fundamentals (Classical Mechanics)
- Kinematics
- Centers (Kinematics)
- General Motion (Kinematics)
- Projectile Motion (Kinematics)
- Relative Motion (Kinematics)
- Absolute velocity of arbitrary motion
- Acceleration due to non-uniform rotation
- Acceleration of transfer between relative frames
- Centrifugal acceleration via centripetal acceleration
- Coriolis acceleration via relative velocity and angular velocity
- Velocity of transfer between reference frames
- Velocity relative to reference frame
- Rotational Motion (Kinematics)
- Rotational Inertia
- Rotational inertia about axis and through center of mass
- Rotational inertia in terms of Cartesian integral
- Rotational inertia in terms of a cylindrical integral
- Rotational inertia is additive
- Rotational inertia of a particle
- Slab about perpendicular axis through center
- Solid disk about central axis
- Thin rod about axis through center perpendicular to length
- Angular acceleration is angular speed derivative
- Angular position is arc length over radius
- Angular position via constant angular acceleration and time
- Angular position via constant angular speed and time
- Angular speed is angular distance derivative
- Angular speed via constant angular acceleration and time
- Average angular speed is angular distance over time
- Centripetal acceleration via angular speed and radius
- Centripetal acceleration via cross product
- Centripetal acceleration via vector rejection
- Linear displacement is angular displacement cross radius
- Rotational Inertia
- Translational Motion (Kinematics)
- Orbital Mechanics
- Angle of rotation during gravitational maneuver
- Area rate of change is proportional to angular momentum
- Average potential energy via average kinetic energy
- Corrected planet period squared is proportional to cube of semimajor axis
- Eccentricity of orbit via orbit parameters
- First escape velocity
- Kepler’s constant via attracting body mass
- Maximum angle of rotation during gravitational maneuver
- Orbital speed from semimajor axis and planet mass
- Planet period squared is proportional to cube of semimajor axis
- Potential energy of radial planetary motion
- Radial kinetic energy plus potential energy is constant
- Radius of geostationary orbit
- Second escape velocity
- Semimajor axis of orbit via mass and speed
- Semimajor axis via Kepler’s constant and total energy
- Semiminor axis of elliptical orbit via orbit parameters
- Third cosmic speed from orbital and second cosmic speed
- Total energy is negative average kinetic energy
- Springs (Classical Mechanics)
- Statics
- Two Body System