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Relative Motion Analysis using Rotating Axes

Relative Motion Analysis using Rotating Axes

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...

Absolute Motion Analysis- General Plane Motion

Absolute Motion Analysis- General Plane Motion

Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
As the drone's propellers rotate, an upward force is generated that counteracts the force of gravity, enabling the drone to lift off from the ground. This initial movement of the drone is along a straight path, representing a form of translational motion. In this phase, every point on the drone...

Relative Motion Analysis using Rotating Axes-Problem Solving

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...

Planar Rigid-Body Motion

Planar Rigid-Body Motion

Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that maintains a consistent distance from a specific plane. This concept is fundamental in the study of physics and mechanical engineering, and it allows us to comprehend better how objects move in space.
Planar motion is typically divided into three distinct categories. The first is rectilinear translation, demonstrated by a subway train that moves along...

Relative Motion Analysis - Velocity

Relative Motion Analysis - Velocity

A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider.
When an external force is exerted, it sets the crank into a rotational movement. This, in turn, instigates the motion of the connecting rod, leading to what is referred to as a general plane motion. This process involves two key points - point A on the connecting rod...

Relative Motion Analysis using Rotating Axes - Acceleration

Relative Motion Analysis using Rotating Axes - Acceleration

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...

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Related Experiment Video

Updated: May 19, 2026

A Protocol for Real-time 3D Single Particle Tracking

A Protocol for Real-time 3D Single Particle Tracking

Published on: January 3, 2018

Unsupervised markerless 3-DOF motion tracking in real time using a single low-budget camera.

Luis Quesada¹, Alejandro J León

¹Department of Computer Science and Artificial Intelligence, CITIC, University of Granada, Granada, 18071, Spain. lquesada@decsai.ugr.es

International Journal of Neural Systems

|August 25, 2012

Summary

This summary is machine-generated.

This study introduces a novel motion tracking system using a single camera, eliminating the need for object knowledge or specialized hardware. This advancement enables widespread commercial applications for real-time 3D object position tracking.

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Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments

Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments

Published on: March 28, 2018

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Last Updated: May 19, 2026

A Protocol for Real-time 3D Single Particle Tracking

A Protocol for Real-time 3D Single Particle Tracking

Published on: January 3, 2018

Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments

Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments

Published on: March 28, 2018

Area of Science:

Computer Vision
Robotics
Human-Computer Interaction

Background:

Motion tracking is essential for computer vision but often requires object knowledge or specific hardware.
Current limitations hinder the widespread adoption of commercial motion tracking applications.

Purpose of the Study:

To present a novel three degrees of freedom (3DoF) motion tracking system.
To overcome the limitations of existing methods by requiring no prior object knowledge or specialized hardware.

Main Methods:

Utilizes a single, low-budget camera for real-time estimation.
Tracks nonmodeled, unmarked objects in real-time.
Handles nonrigid, nonconvex, partially occluded, self-occluded, and motion-blurred objects.

Main Results:

Estimates the 3D position of objects with three degrees of freedom.
Identifies the most relevant object to track within the camera's view.
Operates effectively under specific conditions: opaque, evenly colored, contrasting background, and no object rotation.

Conclusions:

The proposed system removes constraints, enabling broad market implementation.
Facilitates a wide range of commercial applications requiring 3DoF object position estimation.
Lowers the barrier to entry for advanced motion tracking applications.