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Related Concept Videos

Kinematic Equations - II01:17

Kinematic Equations - II

The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
Kinematic Equations - III01:18

Kinematic Equations - III

The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
Relative Motion Analysis - Velocity01:24

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...
Kinematic Equations - I01:26

Kinematic Equations - I

When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:
Relative Motion Analysis using Rotating Axes01:25

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...

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Related Experiment Video

Updated: Jun 12, 2026

In Vivo Quantification of Hip Arthrokinematics during Dynamic Weight-bearing Activities using Dual Fluoroscopy
07:43

In Vivo Quantification of Hip Arthrokinematics during Dynamic Weight-bearing Activities using Dual Fluoroscopy

Published on: July 2, 2021

Variability in kinematic coupling assessed by vector coding and continuous relative phase.

Ross H Miller1, Ryan Chang, Jennifer L Baird

  • 1Biomechanics and Motor Control Laboratories, Department of Kinesiology, University of Massachusetts, 110 Totman Building, Amherst, MA 01002, USA. rhmiller@kin.umass.edu

Journal of Biomechanics
|June 15, 2010
PubMed
Summary
This summary is machine-generated.

Human movement variability assessed by vector coding and continuous relative phase (CRP) shows method-dependent differences. Researchers should exercise caution when comparing findings from studies using these distinct coordination variability metrics.

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Last Updated: Jun 12, 2026

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Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments
08:45

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:

  • Biomechanics
  • Human Movement Analysis
  • Dynamical Systems Theory

Background:

  • Spatio-temporal coordination variability in human movement is crucial for understanding motor control.
  • Vector coding and continuous relative phase (CRP) are common but distinct methods for assessing movement variability.
  • Discrepancies in findings between studies using different variability metrics hinder direct comparisons.

Purpose of the Study:

  • To evaluate if vector coding and CRP align with dynamical systems theories of variability and state-space transitions.
  • To determine if trends in movement coordination variability are consistent across vector coding and CRP methods.
  • To facilitate more accurate comparisons of kinematic variability research.

Main Methods:

  • Theoretical analysis using the Lorenz Attractor model.
  • Experimental analysis of rearfoot-forefoot coupling during overground walking (22 subjects).
  • Experimental analysis of thigh-leg coupling during treadmill locomotion at varying speeds (5 subjects).

Main Results:

  • In the theoretical Lorenz Attractor model, CRP variability aligned better with dynamical systems theory than vector coding.
  • Experimental results showed method-dependent differences in the magnitude and timing of variability peaks during walking and treadmill locomotion.
  • Average variability trends during treadmill locomotion were consistent across both methods as speed increased.

Conclusions:

  • Vector coding and continuous relative phase (CRP) exhibit distinct behaviors, particularly concerning state-space transitions in dynamical systems.
  • The choice of metric (vector coding vs. CRP) impacts the observed variability, especially peak variability, in human locomotion.
  • Direct comparisons between studies using vector coding and CRP for quantifying movement variability require careful consideration due to potential discrepancies.