Kinematics¶
Kinematics is a branch of classical mechanics that is concerned with the geometrical aspects of motion of physical objects regardless of forces.
To describe the motion of an object, we need the concept of a reference frame: it is an abstract coordinate system with specified origin, orientation, and scale.
Another important concept is a coordinate system, which defines a way to measure the position of the physical object relative to the given reference frame.
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Contents:
- Centers (Kinematics)
- General Motion (Kinematics)
- Projectile Motion
- 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)