# Kinematics

Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move. Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system. Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined. The study of how forces act on bodies falls within kinetics, not kinematics. For further details, see analytical dynamics.

Kinematics is used in astrophysics to describe the motion of celestial bodies and collections of such bodies. In mechanical engineering, robotics, and biomechanics kinematics is used to describe the motion of systems composed of joined parts (multi-link systems) such as an engine, a robotic arm or the human skeleton.

Geometric transformations, also called rigid transformations, are used to describe the movement of components in a mechanical system, simplifying the derivation of the equations of motion. They are also central to dynamic analysis.

Kinematic analysis is the process of measuring the kinematic quantities used to describe motion. In engineering, for instance, kinematic analysis may be used to find the range of movement for a given mechanism and working in reverse, using kinematic synthesis to design a mechanism for a desired range of motion. In addition, kinematics applies algebraic geometry to the study of the mechanical advantage of a mechanical system or mechanism.

from Kinematics - Wikipedia

This topic includes the following resources and journeys:

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12 items

## 1D Kinematics - Speed, Velocity, Acceleration

51 min
Beginner
Video
Theory

Walter Lewin is one of the most reputed professors and was a former lecturer at MIT. His free to watch series on YouTube titled 8.01 is an excellent one for undergrads and high school...

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## Projectile Motion Practice Problems

28 min
Intermediate
Video
Application

In this video, practice along questions on an important topic of Kinematics i.e Projectile Motion. Practicing would help you remember the concepts and also understand them better.

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## Projectile Motion Equations and Theory

28 min
Beginner
Video
Application

In this video, an important topic under 2D Kinematics i.e. Projectile Motion, is covered. Its theory, equations, and examples are thoroughly discussed.

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## 3D Kinematics, Free Falling, Reference Frames

53 min
Intermediate
Video
Theory

Walter Lewin is one of the most reputed professors and was a former lecturer at MIT. His free to watch series on YouTube titled 8.01 is an excellent one for undergrads and high school...

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## Vectors, Dot Products, Cross Products - 3D Kinematics

50 min
Beginner
Video
Theory

Walter Lewin is one of the most reputed professors and was a former lecturer at MIT. His free to watch series on YouTube titled 8.01 is an excellent one for undergrads and high school...

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## Computing Euler Angles: Tracking Attitude Using Quaternions

74 min
Beginner
Video
Theory

In this video we continue our discussion on how to track the attitude of a body in space using quaternions. The quaternion method is similar to the Euler Ki...

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## Using a Homogeneous Transformation Matrix to Combine Rotation and Translatio...

63 min
Beginner
Video
Theory

In this video we discuss how to properly deal with coordinate frames that are both rotated and translated from one another. We develop a homogeneous transfo...

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## Velocity & Acceleration in Non-Inertial Reference Frames (Coriolis &...

133 min
Beginner
Video
Theory

In this video we derive a mathematical description of velocity and acceleration in non-inertial reference frame. We examine the effect of fictitious forces ...

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## Cartesian, Polar, Cylindrical, and Spherical Coordinates

54 min
Beginner
Video
Theory

In this video we discuss Cartesian, Polar, Cylindrical, and Spherical coordinates as well as develop forward and reverse transformations to go from one coord...

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## Euler Angles and the Euler Rotation Sequence

70 min
Beginner
Video
Theory

In this video we discuss how Euler angles are used to define the relative orientation of one coordinate frame to another.Topics and Timestamps:0:00 – Introd...

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## Computing Euler Angles: The Euler Kinematical Equations and Poisson’s Kinema...

79 min
Beginner
Video
Theory

In this video we discuss how the time rate of change of the Euler angles are related to the angular velocity vector of the vehicle. This allows us to design...

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## Derivation of Rodrigues’ Rotation Formula

43 min
Beginner
Video
Theory

In this video we explain and derive Rodrigues’ Rotation Formula. This functions describes how to rotate an arbitrary vector about another arbitrary axis of ...

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