kinematics
Sign in to saveKinematics is a subfield of physics and a branch of geometry. In physics, kinematics studies the geometrical aspects of motion of physical objects independent of forces that set them in motion. Constrained motion such as linked machine parts are also described as kinematics. In geometry, kinematics studies the time dependence of geometrical quantities such as position, distance and angular measure with respect to a frame of reference. Most frequently, the quantities that kinematics deals with are the time derivatives of these quantities and the relations between them. Objects whose motion is
AI overview
Kinematics is the study of how things move through space and time, focusing on describing their position, speed, and direction without worrying about what forces caused that motion. It matters because it provides the mathematical tools to understand and predict the paths of objects—from planets orbiting in space to parts moving in machines—by tracking how their position and speed change over time.
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Article
36 sectionsContents
- Overview
- Etymology
- Kinematics of a particle trajectory in a non-rotating frame of reference
- Velocity and speed
- Acceleration
- Relative position vector
- Relative velocity
- Relative acceleration
- Particle trajectories in cylindrical-polar coordinates
- Constant radius
- Planar circular trajectories
- Point trajectories in a body moving in the plane
- Displacements and motion
- Matrix representation
- Pure translation
- Rotation of a body around a fixed axis
- Position
- Velocity
- Acceleration
- Point trajectories in body moving in three dimensions
- Position
- Velocity
- Acceleration
- Kinematic constraints
- Kinematic coupling
- Rolling without slipping
- Inextensible cord
- Kinematic pairs
- Lower pair
- Higher pairs
- Kinematic chains
- Examples
- See also
- References
- Further reading
- External links
Kinematics is a subfield of physics and a branch of geometry. In physics, kinematics studies the geometrical aspects of motion of physical objects independent of forces that set them in motion. Constrained motion such as linked machine parts are also described as kinematics. In geometry, kinematics studies the time dependence of geometrical quantities such as position, distance and angular measure with respect to a frame of reference. Most frequently, the quantities that kinematics deals with are the time derivatives of these quantities and the relations between them. Objects whose motion is studied include points and subsets of euclidean space that undergo rigid motion.
Kinematics is concerned with systems of specification of objects' positions and velocities and mathematical transformations between such systems. These systems may be rectangular like Cartesian, Curvilinear coordinates like polar coordinates or other systems. The object trajectories may be specified with respect to other objects which may themselves be in motion relative to a standard reference. Rotating systems may also be used.